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If women could travel away for a week to VenusCrimes would disappear from this world- Fox News' Greg Gutfeld goes on s3xist rant (video)

<div class="row"><div class="col-md-12"><article class="big_story"><summary class="description"><div class="my_div"><div class="row"><div class="col-md-12"><article class="big_story"><summary class="description"><div class="my_div"><p>Fox News top hosts Greg Gutfeld has opined that many of the world’s problems would be solved if women were to vanish from earth.</p><p> <div class="separator" style="clear: both; text-align: center;">
  <a href="https://blogger.googleusercontent.com/img/a/AVvXsEgC0WVEdpAuki2MUdl2xLRR_EMcvTeMz48mLYU20kOus3asWBleKgL6mhKoRlqJautD8b-7jd6dHqYbBBNpuShP_0GQ3kWTRWBWyoigrtZpD3wLGCZJmmNLByunup1fOPoiKhfGp6y-mC2OfpxrkAQz-40H5PKEMYGJ2Ixm0WtPwj5k4w7aBfw-3awEfgM" imageanchor="1" style="margin-left: 1em; margin-right: 1em;">
    <img border="0" src="https://blogger.googleusercontent.com/img/a/AVvXsEgC0WVEdpAuki2MUdl2xLRR_EMcvTeMz48mLYU20kOus3asWBleKgL6mhKoRlqJautD8b-7jd6dHqYbBBNpuShP_0GQ3kWTRWBWyoigrtZpD3wLGCZJmmNLByunup1fOPoiKhfGp6y-mC2OfpxrkAQz-40H5PKEMYGJ2Ixm0WtPwj5k4w7aBfw-3awEfgM" width="400">
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</div></p><p>Greg Gutfeld, who was recently promoted to host his own prime time hour on the right wing channel, made a series of brazenly sexist comments on Monday’s edition of “The Five” during a discussion on looting</p><p>As surveillance video played showing a smash-and-grab that occurred over the weekend at a Los Angeles Nordstrom, Gutfeld went on a rant portraying women as soft on crime and effectively blaming the entire gender for policies that would prevent such crimes from being committed.</p><p> </p><blockquote><p>“What would happen if all the women took a ladies week off and they went to Venus … How many of these problems would still exist?” Gutfeld wondered.</p></blockquote><p> </p><p>Gutfeld, who allowed for the possibility that new problems would emerge in the absence of women, confidently argued that “smash and grabs” and “rampant recidivism” would “disappear.”</p><p>Gutfeld then acknowledged that what he was saying might not sit well with Jeanine Pirro, a tough-on-crime co-host of “The Five” who previously worked as a prosecutor and served as a New York state judge.</p><p>“I know this is offensive to the judge because she thinks like a dude,” Gutfeld joked.</p><p>Gutfeld concluded his rant, shouting, “What I’m saying is that we have gotten so soft and it is because we have decided that discipline and punishment is wrong.”</p></div></summary><div class="sharethis-inline-share-buttons st-left st-has-labels  st-inline-share-buttons st-animated" id="st-1"><div class="st-btn st-last     st-remove-label" data-network="sharethis"><img alt="sharethis sharing button" src="https://platform-cdn.sharethis.com/img/sharethis.svg"></div></div></article></div></div></div></summary></article></div></div><div class="google-auto-placed"><ins data-ad-format="auto" class="adsbygoogle adsbygoogle-noablate" data-ad-client="ca-pub-2427099653703778" data-adsbygoogle-status="done" data-ad-status="filled"><div id="aswift_4_host" tabindex="0" title="Advertisement" aria-label="Advertisement"></div></ins></div>

If women could travel away for a week to VenusCrimes would disappear from this world- Fox News' Greg Gutfeld goes on s3xist rant (video)

Fox News top hosts Greg Gutfeld has opined that many of the world’s problems would be solved if women were to vanish from earth. ...

9jalik.blogspot.com

BREAKING: INEC To Postpone Elections

<b>BREAKING: INEC To Postpone Elections</b><br />
The Independent National Electoral Commission (INEC) is considering postponing Saturday’s presidential and national assembly elections, Nigerian Cable News online has gathered.<br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2PO_uThiq_3LU13lGhrNxEDNDx25qXL0TNKCOGHsgw8BfaLX-0FIMstHj5SRjFpB2kuES6BELp3KVNa_VUJzTbRkCTOvh9Ht-tMx0_jv1QnCHlQkNipBlw-FG9Y4-D2Zndtx_Wa0HD_M/s1600/inec-logo.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="1015" data-original-width="1019" height="318" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi2PO_uThiq_3LU13lGhrNxEDNDx25qXL0TNKCOGHsgw8BfaLX-0FIMstHj5SRjFpB2kuES6BELp3KVNa_VUJzTbRkCTOvh9Ht-tMx0_jv1QnCHlQkNipBlw-FG9Y4-D2Zndtx_Wa0HD_M/s320/inec-logo.jpg" width="320" /></a></div>
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Multiple sources close to the electoral commission said the postponement being considered is due to some logistics challenges being faced by the commission in many states.<br />
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A formal announcement is expected on Friday night, our sources said.<br />
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It is unclear at this time what the new election date would be.<br />
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“There will definitely be a postponement but we are yet to take a decision on the new date,” an official said.<br />
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Another official said the commission is considering fixing the elections for Sunday.<br />
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Our sources said INEC commissioners are currently locked in a meeting at the agency’s headquarters in Abuja.<br />
WHY <b>INEC To Postpone Elections</b><br />
Some of the states where the logistic challenges are said to occur include Niger and Ekiti.<br />
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The Resident Electoral Commissioner in Niger State said ballot papers for two of the state’s three senatorial districts were missing as of Friday evening.<br />
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In Ekiti, the former governor of the state, Ayo Fayose, accused INEC of deliberately hoarding materials for the presidential, Senate and House of Representatives elections in some states to frustrate the PDP.<br />
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Mr Fayose said he was aware that ballot papers and result sheets for presidential and senatorial elections were not in Ekiti State as at 9 p.m. on Friday, adding that only materials for the House of Representatives were distributed.<br />
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According to his spokesperson, Lere Olayinka, Mr Fayose said similar situations already reported in Oyo, Taraba, Edo, Niger, Ogun, Rivers and other states.<br />
SO<b> INEC To Postpone Elections</b><br />
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The INEC Commissioner in charge of publicity, Festus Okoye, did not answer or return multiple calls

BREAKING: INEC To Postpone Elections

BREAKING: INEC To Postpone Elections The Independent National Electoral Commission (INEC) is considering postponing Saturday’s presidential...

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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YnSBMk45nV_awKjmi4gb-GLqNehfnm-62Dfw0wgJSvTVA7FoIaG5ramf9RnbAPhPnVA1pSvZptaVzAO2vVeBOLNdtw_Ard5G7DA-QR-WZnsI4OLo8YAgg8hQxDwiBrz8iczC9BombBQ/s1600/Screenshot_20190112-072433.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="854" data-original-width="480" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg8YnSBMk45nV_awKjmi4gb-GLqNehfnm-62Dfw0wgJSvTVA7FoIaG5ramf9RnbAPhPnVA1pSvZptaVzAO2vVeBOLNdtw_Ard5G7DA-QR-WZnsI4OLo8YAgg8hQxDwiBrz8iczC9BombBQ/s320/Screenshot_20190112-072433.png" width="179"></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhar7LjCmfae21jzkPwHOA6uPMdGKIh3PrDYTJaCuFibmfilY739VvbsmESVqU_xMjWCTEJ1iApn36n0HIYGRDIEN9pGRdwNPJIFxGgyoXBjIyclNxXgQm0J3XffrO_T1coC9ZVWR0U_mc/s1600/Screenshot_20190112-072446.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="854" data-original-width="480" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhar7LjCmfae21jzkPwHOA6uPMdGKIh3PrDYTJaCuFibmfilY739VvbsmESVqU_xMjWCTEJ1iApn36n0HIYGRDIEN9pGRdwNPJIFxGgyoXBjIyclNxXgQm0J3XffrO_T1coC9ZVWR0U_mc/s320/Screenshot_20190112-072446.png" width="179"></a></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgX2UcdGpZ5FlSmPWoWakig9LLkrskKzAfG1JC7yugTiN1lF-ahMPCX8ctnBxHGwazihGub-7ZhXhKfhzUxk-7HomWT8l3c5_ApLsBS5iF6SbqOiHxYuBNzLwQTvc6wMBlKU0RoKspraXo/s1600/Screenshot_20190112-072546.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="854" data-original-width="480" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgX2UcdGpZ5FlSmPWoWakig9LLkrskKzAfG1JC7yugTiN1lF-ahMPCX8ctnBxHGwazihGub-7ZhXhKfhzUxk-7HomWT8l3c5_ApLsBS5iF6SbqOiHxYuBNzLwQTvc6wMBlKU0RoKspraXo/s320/Screenshot_20190112-072546.png" width="179"></a></div>
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How to clear your debt on MTN for free

HOW TO CLEAR YOUR DEBT ON MTN FOR FREE MIGRATE TO MPULSE *344 *1# AND SELECT 1 To know HOW TO CLEAR YOUR DEBT ON MTN FOR FREE ...

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Osun election: Why Adeleke should have been declared winner – Ozekhome

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<p dir="ltr"><img src="https://nnu.ng/sitefiles/post-images/Osun-election--Why-Adeleke-should-have-been-declared-winner-----Ozekhome180725508513250131.jpg"></p>
<p dir="ltr">Rights Advocate and constitutional lawyer, Dr. Mike Ozekhome (SAN), has predicted danger ahead of the 2019 election on Sunday’s declaration of Osun State governorship election as inconclusive by the Independent National Electoral Commission (INEC).</p>
<p dir="ltr">Ozekhome in a statement made it available to newsmen that the action of INEC was a blow to the nation’s constitutional democracy, adding that ‘Section 179(2)(a)(b) of the 1999 constitution proves that Adeleke and the PDP won and met the electoral requirements to be formally declared winners of the Osun State election.”</p>
<p dir="ltr">According to him,the Osun election is an ominous sign of the farce to expect in 2019.</p>
<p dir="ltr">Ozekhome further accused APC of using “Electoral arm, INEC, to do the unthinkable, that which is clearly illegal, unconstitutional, immoral, and a brazen assault on our sensibilities and constitutional democracy.”</p>
<p dir="ltr">His statement reads in part: “INEC has earned for itself the inglorious reputation of holding inconclusive elections (Kogi, Bayelsa, et al), and working in cahoots with the ruling APC, always eager to do its dirty electoral bidding, to commit daylight robbery of votes.</p>
<p dir="ltr">“This, they have just done to Adeleke’s votes, to defeat the will and legitimate franchise of the good people of Osun state. I wholly condemn this ludicrous mockery of our electoral process and constitutionalism.”</p>
<p dir="ltr">“There was no legal, constitutional, or moral basis for the electoral umpire to have declared the election inconclusive since the country’s constitution only recognised lawful and valid votes in declaring a candidate winner of an election.</p>
<p dir="ltr">“This presupposes that some votes would be unlawful and invalid. Consequently, where votes are cancelled or invalidated for any reason, howsoever, including for being invalid and unlawful, such votes are immediately and automatically cancelled, deducted and consigned to the dustbin of history.</p>
<p dir="ltr">“In any case, it was not wholesale results in the election that were voided and cancelled. Only votes that INEC had adjudged illegitimate due to irregularities were voided and cancelled.</p>
<p dir="ltr">“This cancellation and voidance of illegitimate votes affected all the political parties, not just APC and PDP, but especially Omisore’s SDP whose two strongest fortes in Ife axis were badly affected.</p>
<p dir="ltr">“Such voided votes are ignored and unreckoned with, for they are a non sequitur. They are as dead as dodo.</p>
<p dir="ltr">“Having failed to viciously intimidate and rig the elections as they did in Ekiti State, due to the people’s courageous resistance, the APC has now used its electoral arm, INEC, to do the unthinkable, that which is clearly illegal, unconstitutional, immoral, and a brazen assault on our sensibilities and constitutional democracy.</p>
<p dir="ltr">“Section 179(2)(a)(b) of the 1999 Constitution (the grundnorm and supreme law of the land ), is crystal clear and unambiguous that Adeleke and PDP have won and met the electoral requirements to be formally declared winners of the Osun State election.</p>
<p dir="ltr">“It provides: “A candidate for an election to the office of a governor of a state shall be deemed to have been duly elected where, there being two or more candidates: (a) he has the highest number of votes cast at the election; and (b) he has not less than one-quarter of all the votes cast in each of at least two-thirds of all the local government areas in the state”.</p>
<p dir="ltr">“Adeleke satisfied the provision. In Osunbor v Oshiomhole (2007) 18 NWLR (part 1065) 32, cancelled votes had been counted and added to PDP/Osunbor’s scores.</p>
<p dir="ltr">“The courts, up to the Supreme Court, held that when votes are cancelled, they are not reckoned with in determining the outcome of such an election. The courts thereafter deducted the invalidated votes and this gave victory to Oshiomhole in the hotly contested election.”</p>

Osun election: Why Adeleke should have been declared winner – Ozekhome

Rights Advocate and constitutional lawyer, Dr. Mike Ozekhome (SAN), has predicted danger ahead of the 2019 election on Sunday’s declaratio...

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President Muhammadu Buhari should not contest for 2019 election: said by Bishop

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<img alt="" data-cfsrc="https://nnu.ng/sitefiles/post-images/Buhari-Should-Not-Contest-2019-Election---Says-Anglican-Bishop923281739958348531.jpg" height="302" src="https://nnu.ng/sitefiles/post-images/Buhari-Should-Not-Contest-2019-Election---Says-Anglican-Bishop923281739958348531.jpg" style="box-sizing: border-box; height: auto !important; max-width: 100%;" width="450" /></div>
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<em style="box-sizing: border-box;"><span style="box-sizing: border-box;">President Muhammadu Buhari</span></em></div>
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The Bishop of the Diocese of Ondo state,  Church of Nigeria (Anglican Communion) Stephen Oni, has said this that the nation needs a young and visionary person to become the next President of the country and urged President Muhammadu Buhari to drop his re-election bid in 2019.</div>
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He lamented that some politicians in Nigeria had overstayed their time in office and refused to leave the political offices for the younger generation, identifying the trend as one of the problems the country was facing.</div>
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Bishop Oni stated this at the order of service for the investiture and installation of a new chancellor and other officials of the Cathedral Church of St Stephen, Oke-Aluko, Ondo, Ondo State.</div>
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At the ceremony, the Federal High Court judge, Justice Obayomi Taiwo, was invested as the Chancellor; Mr Ayodele Akintunde (SAN), as the Deputy Chancellor; while Mrs Yejide Ogundipe and Mr  Olu Adenodi were reappointed as registrar and deputy registrar respectively.</div>
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In his charge, titled, ‘Responsibility, not title,’ the cleric lamented the recycling of old politicians in power at all levels of government in the country, saying politicians go to any length to perpetuate themselves in power.</div>
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He said, <em style="box-sizing: border-box;">“They want to die in office. No wonder, people have thrown caution into the air, we could see impunity everywhere. Worthy legacy is not there, we are only recycling rust brains, they will come back again with their pictures when they give you N1,000 with the popular chant to ‘vote and cook soup’."</em><em style="box-sizing: border-box;"><br style="box-sizing: border-box;" /></em></div>
<div style="box-sizing: border-box; font-family: Arial, sans-serif; font-size: 14px; line-height: 1.5;">
<em style="box-sizing: border-box;">“I don’t expect any 75 to 80 years old still in government, what are they doing there? When will they give their children a place? The age of youthfulness is between 25, 30 and 40; who will want to employ in a bank a 75-year-old man?</em></div>
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<em style="box-sizing: border-box;">“Are we now saying a 75-year-old should go to the National Assembly, what are they doing there? We need young people who have aspirations and highly adventurous. So, let them allow them in.”</em></div>
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On President Buhari intention to contest next year’s election, he said, <em style="box-sizing: border-box;">“He has his right to contest but my advice for him, if he will do it well, he should go home joyfully.”</em></div>
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President Muhammadu Buhari should not contest for 2019 election: said by Bishop

President Muhammadu Buhari The Bishop of the Diocese of Ondo state, Church of Nigeria (Anglican Communion) Stephen Oni, has said this ...

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UNBELIEVABLE:Whatsapp is not among the Top 10 android app

<b>THE TOP 10 ANDROID APP IN USA</b><br />
According to the statistics of June 2018 compiled by Priori Data, there is a great coincidence between the most downloaded Android applications in the US. UU And the applications used by the rest of the world, but a theme is clear: the umbrella of Facebook applications continues to dominate.<br />
This are the list of<br />
<b>THE TOP 10 ANDROID APP IN USA</b><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-ZrFtqeW-0sljaihaW5Stw9Ptn4sszf7C7oMp5c494PFsR6pP1Cffrqr2KljUYBNN9e2a4QtrznEieE-XlMdhm8ZDOfzmK2GT6m2upLI5U_88Igpp3WB3EmZacPnUAL1SBZO84opzLOQ/s1600/IMG_20180713_132312.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="642" data-original-width="474" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi-ZrFtqeW-0sljaihaW5Stw9Ptn4sszf7C7oMp5c494PFsR6pP1Cffrqr2KljUYBNN9e2a4QtrznEieE-XlMdhm8ZDOfzmK2GT6m2upLI5U_88Igpp3WB3EmZacPnUAL1SBZO84opzLOQ/s320/IMG_20180713_132312.jpg" width="236" /></a></div>
<br />
<br />
The Android application market continues to thrive. According to mobile market intelligence firm Priori Data, the 10 best Android apps combined accounted for more than 19 million downloads last month, led by a game called Kick the Buddy with 2.96 million downloads in June.<br />
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The rest of the top 10 of EE. UU It consists of two other games (Love Balls and Helix Jump), the e-commerce application Wish, a news application, two music applications and, of course, some social and messaging applications such as Facebook Messenger, Instagram and Snapchat. But when comparing these figures with the main applications of Android in June around the world, some interesting trends emerge.<br />
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Of the more than 306 million downloads of the 10 best Android global applications in June, half of the applications are products owned by Facebook. The downloads of the global Android application show how powerful Facebook applications have become worldwide, with the top five Facebook applications in the world that combine for more than 172 million downloads in June.Among<br />
<b>THE TOP 10 ANDROID APP </b><br />
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCD9FmO1KNIuJXU2fo95sr5QVL0EfGMhjd2yC3fN-i-timEovuZnzPOR5Hs41p_MS1ubGbFxdsYYlpZmrMUxjeOF9pi56c2Me9WLvzvCdbTY5nPjASLZRzdFSMYbK7gelApFhum4pv5Bg/s1600/IMG_20180713_132208.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="628" data-original-width="479" height="320" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgCD9FmO1KNIuJXU2fo95sr5QVL0EfGMhjd2yC3fN-i-timEovuZnzPOR5Hs41p_MS1ubGbFxdsYYlpZmrMUxjeOF9pi56c2Me9WLvzvCdbTY5nPjASLZRzdFSMYbK7gelApFhum4pv5Bg/s320/IMG_20180713_132208.jpg" width="243" /></a></div>
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WhatsApp led the list with 55.78 million downloads, followed by Messenger with 44.06 million and Instagram in fifth place with 27.04 million. Unlike the list of Android applications for EE. The global list also includes Facebook and Facebook Lite, the simplified version of the Facebook application designed for developing countries with weaker connectivity. Four of the other apps (Kick the Buddy, Helix Jump, musical.ly and Love Balls) also appeared on the US list.<br />
<br />
Facebook's active user numbers on all of its products overshadow other social and messaging applications, and globally the company is even more dominant than in the United States when it comes to Android users.

UNBELIEVABLE:Whatsapp is not among the Top 10 android app

THE TOP 10 ANDROID APP IN USA According to the statistics of June 2018 compiled by Priori Data, there is a great coincidence between the mo...

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BLACKBERRY KEY2:specification

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<b>BLACKBERRY KEY2:SPECIFICATION AND DETAILS </b><br>
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<b><a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7x9-0F74l3ZtNpCJcWyk015nErCPeJ2Jho022so-3ctSdw9xSEHm0SYYsKL_lKQhCNi8zm9Nyuaaylt7fHDYZb-kbULjXi6eyMFVXLaM0EhYU3pIpU6vYNcbIhxVJ3FC1m8vxLd6DJB8/s1600/download.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="206" data-original-width="94" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi7x9-0F74l3ZtNpCJcWyk015nErCPeJ2Jho022so-3ctSdw9xSEHm0SYYsKL_lKQhCNi8zm9Nyuaaylt7fHDYZb-kbULjXi6eyMFVXLaM0EhYU3pIpU6vYNcbIhxVJ3FC1m8vxLd6DJB8/s1600/download.jpg"></a></b></div>
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These is the new BlackBerry smartphone, the latest effort to revive the once-dominant brand.</div><div dir="ltr">WHEN WAS THE <b style="font-family: sans-serif;">BLACKBERRY KEY2</b> LUNCH:The phone was lunch on thursday in New York by TCL Communication, the Chinese manufacturer which took over the rights to the smartphone brand from the Canadian tech firm in 2016. The new device, which includes a physical keyboard under a 4.5 inch screen and runs the Android operating system updates the first BlackBerry Key released last year. It will be sold this month starting at $649 or 649 euros, according to the company. “Although there are many different smartphones for consumers to choose from today, most tend to offer very similar experiences without much distinction from one to the next,” said Alain Lejeune, head of TCL’s BlackBerry Mobile division. “With the introduction of BlackBerry Key2, we’ve created a distinct smartphone that captures all the traits that have made BlackBerry smartphones iconic, while introducing new innovations and experiences that not only make this one of the best devices for security and privacy, but also the most advanced BlackBerry smartphone ever.” BlackBerry’s share of the global smartphone market has fallen to virtually zero from a peak of more than half a decade ago. The dominance of Apple’s iOS and Android-powered handsets prompted the Canada-based firm to abandon the market to concentrate on software and services. Under the agreement between the two firms, Canada’s BlackBerry will remain in control of software and security on smartphones, while TCL will produce handsets powered by Google Android software, abandoning the former BlackBerry OS software. TCL also produces smartphones under the Alcatel brand.</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj20ZAmeNA598nBEbEYYvsbkmhBh1nvuHhX65kCtKCHxgbB8ztVIrfdHtbdcamulPLoUl9boqLfG2_463T9QREErQUPHGq4zBw9WGSQnk2k_FT0YMg6yt496gJKi96Zxql4z_YTdTOWp7M/s1600/BlackBerry-DTEK60.png" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="241" data-original-width="412" height="187" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEj20ZAmeNA598nBEbEYYvsbkmhBh1nvuHhX65kCtKCHxgbB8ztVIrfdHtbdcamulPLoUl9boqLfG2_463T9QREErQUPHGq4zBw9WGSQnk2k_FT0YMg6yt496gJKi96Zxql4z_YTdTOWp7M/s320/BlackBerry-DTEK60.png" width="320"></a></div><div class="separator" style="clear: both; text-align: center;"><b style="font-family: sans-serif;">BLACKBERRY KEY2 </b>SPECIFICATION <b><div dir="ltr" style="display: inline !important;"><b> :</b></div></b></div>
The blackberry KEY2 is 100% Android™<br>
Access to over a million apps on Google Play<br>
Impact resistant Corning® Gorilla® Glass<br>
First dual main camera BlackBerry smartphone<br>
All new reimagined keyboard design<br>
Up to 2 days battery life<br>
Design<br>
Size<br>
Height 151.4mm<br>
Width 71.8mm<br>
Depth 8.5mm<br>
Keyboard<br>
Touch enabled 35 key backlit Physical Keyboard (QWERTY) with integrated fingerprint sensor<br>
Weight<br>
168g<br>
Navigation<br>
Touch screen, with touch sensitive keyboard<br>
Dedicated keys<br>
Volume Up/Down, Power Key (for Power On/Off), Customisable BlackBerry Convenience Key (usable as Mute Key when on an active call )</div><div dir="ltr"><b style="font-family: sans-serif;">BLACKBERRY KEY2 </b>BATTERY CAPACITY: </div><div dir="ltr">
The blackberry has a batter capacity of 3500mah. The battery can sustain up to 2days.</div><div dir="ltr"><b style="font-family: sans-serif;">BLACKBERRY KEY2 </b>CAMERA DETAILS <b> :</b><br>
The phone has a dual back camera 12m + 12mp also with dual flash light.<br>
Front camera 8mp fixed focus with selfie flash light<br>
The <b>BLACKBERRY KEY2 </b>is version 8.1 android </div>

BLACKBERRY KEY2:specification

BLACKBERRY KEY2:SPECIFICATION AND DETAILS These is the new BlackBerry smartphone, the latest effort to revive the once-dominant brand....

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Wassce2018/2019-Waec 2018/2019 government objective and thoery

<p dir="ltr"><i><b><a href="http://Waec 2018/2019 government objective and thoery">Waec 2018/2019 government objective and</a></b></i><b> </b></p>
<div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPsQpdjB0pgZ2z87Gvd6DfN4r9rmjdVFxYGWZ_79vj2IjC4_WJkESYP_ZulD4m16699HS3tYy67kN4zBVp38HqYUNu0YuNDOj4pPort-4cmXuoBm1b-TZkdFY2Wto_vnQbWrh_WHHqITU/s1600/WAEC+SCIENCE+STUDENTS%25F0%259F%2595%25B5%25E2%2580%258D%25E2%2599%2582%25282%2529+20180412_003220.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"> <img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgPsQpdjB0pgZ2z87Gvd6DfN4r9rmjdVFxYGWZ_79vj2IjC4_WJkESYP_ZulD4m16699HS3tYy67kN4zBVp38HqYUNu0YuNDOj4pPort-4cmXuoBm1b-TZkdFY2Wto_vnQbWrh_WHHqITU/s640/WAEC+SCIENCE+STUDENTS%25F0%259F%2595%25B5%25E2%2580%258D%25E2%2599%2582%25282%2529+20180412_003220.jpg"> </a> </div><div class="separator" style="clear: both; text-align: center;">Govt-Obj</div><div class="separator" style="clear: both; text-align: center;">1-10: CADBCBBBDB</div><div class="separator" style="clear: both; text-align: center;">11-20: BDCCDABAAB</div><div class="separator" style="clear: both; text-align: center;">21-30: ACCAAACAAB</div><div class="separator" style="clear: both; text-align: center;">31-40: ADDCDDDDCC</div><div class="separator" style="clear: both; text-align: center;">41-50: ACAAABADBB</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">*Answer any five(5)*</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">1. the President was the Chief Executive of the country who performed the day-today running of the country;</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">2. he inaugurated the National assembly at the beginning of each session;</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">3. he assented to bills duly passed by the National assembly into laws;</div><div class="separator" style="clear: both; text-align: center;">4. he appointed key officials of government;</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">5. he represented the country at international conferences like the UNO, AU, Commonwealth, ECOWAS, etc.;</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">6. he performed ceremonial functions;</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">7. he exercised prerogative of mercy i.e. he could pardon convicted persons or those found guilty of treason;</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">8. he signed treaties with other countries on behalf of the country;</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">9. he formulated policies for good governance;</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">*10.* he prepared and presented the annual</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">-Language barrier There are three languages that are used for communication within the ECOWAS bloc, that is English, French and Portuguese.  </div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">- Human Rights Abuses Another problem of the ECOWAS group is the penchant of the member states to abuse the human rights of their citizens. The human rights records of some member states is nothing to write home about. </div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">- Financial problems The aims and objectives of the ECOWAS can only be achieved when the financial base of the community is solid. However, some member states are not able to honour their financial obligations to the community.</div><div class="separator" style="clear: both; text-align: center;"> </div><div class="separator" style="clear: both; text-align: center;">- Strong External Influence:  Many of the member states of ECOWAS were former colonies of some former colonial powers. Countries such as Britain, France and Portugal ever had a colony</div><div class="separator" style="clear: both; text-align: center;">or two that now belong to the ECOWAS group.  </div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">- Widespread Poverty: Many of the member states of ECOWAS are among the poorest of the poor nations in the world. Many of their citizens earn less that a dollar a day. </div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both;">3a) - By Birth : A person is a citizen by birth if either his parents, mother or father is a citizen of a country </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- By naturalization : Somebody can become a citizen of a country where he lives through naturalization. This is possible if he can satisfy the constitutional requirements for naturalization </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Marriage or Registration : If a woman is married to a person of another nationality, she can acquire the citizenship of the husband's country through registration</div><div class="separator" style="clear: both;">1b</div><div class="separator" style="clear: both;">Likeness</div><div class="separator" style="clear: both;">The reprocical awareness</div><div class="separator" style="clear: both;">Differences</div><div class="separator" style="clear: both;">Cooperation</div><div class="separator" style="clear: both;">Conflict</div><div class="separator" style="clear: both;">Interdependence</div><div class="separator" style="clear: both;">Communalism usually refers to a system that integrates communal ownership and federations of highly localized independent communities</div><div class="separator" style="clear: both;">An opinion poll, often simply referred to as a poll or a survey, is a human research surveyof public opinion from a particular sample</div><div class="separator" style="clear: both;">7a)</div><div class="separator" style="clear: both;"> Protonationalism is generally referred to as traditional nationalists who were opposed to giving up their territories because they were denied respectable positions in their land or communities by reason of their race</div><div class="separator" style="clear: both;">3b) - Statutory age: An alien can become a citizen of another country if he has attained the required age as stipulated by the law of the country </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Good character : He/She must possess good character</div><div class="separator" style="clear: both;">1 b )</div><div class="separator" style="clear: both;">1 . Interdependence : Society implies interdependence . It is another essential element to constitute society. It is not possible for human being to satisfy his desire in isolation . He cannot live alone . He needs the help of others for his survival . Society fulfills all the needs of the people .</div><div class="separator" style="clear: both;">2 . Cooperation : Cooperation is also another essential element to</div><div class="separator" style="clear: both;">constitute society. Without cooperation , no society can exist . If the members of the society do not work together for the common purposes , they cannot lead a happy and comfortable life .</div><div class="separator" style="clear: both;">3 . Conflict : Conflict is an ever present phenomenon present in</div><div class="separator" style="clear: both;">every human society. Not only cooperation but also conflict in necessary for the formation of society. They must coexist in a healthy society. Conflict is a process of struggle through which all things having into existence .</div><div class="separator" style="clear: both;">4 . Likeness : Likeness of members in a social group is the</div><div class="separator" style="clear: both;">primary basis of their mutuality . May be in the</div><div class="separator" style="clear: both;">beginning assumed or real common lineage, tribal</div><div class="separator" style="clear: both;">affinity , family benefit or the compactness due to a common to time inculcated between and among the</div><div class="separator" style="clear: both;">members in the group the feeling of likeness .</div><div class="separator" style="clear: both;">Likeness means mutuality , and that means Society</div><div class="separator" style="clear: both;">5b</div><div class="separator" style="clear: both;">1 Close touch with his constituency </div><div class="separator" style="clear: both;">2 simple and economical </div><div class="separator" style="clear: both;">3 stable majority </div><div class="separator" style="clear: both;">4 active interest in the political process </div><div class="separator" style="clear: both;">5 local talent </div><div class="separator" style="clear: both;">6 it's more democratic</div><div class="separator" style="clear: both;">GOVERNEMENT ANSWERS</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">1a)</div><div class="separator" style="clear: both;">Society includes every kind and degree of relationship entered into by men, whether organized or unorganized , direct or indirect, conscious or unconscious, cooporative or antagonistic</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Or </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(1a) </div><div class="separator" style="clear: both;">Society is referred to as the association of human beings. This suggests the whole complex of relations of man to his fellows.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(3a) </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- By Birth : A person is a citizen by birth if either his parents, mother or father is a citizen of a country </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- By naturalization : Somebody can become a citizen of a country where he lives through naturalization. This is possible if he can satisfy the constitutional requirements for naturalization </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Marriage or Registration : If a woman is married to a person of another nationality, she can acquire the citizenship of the husband's country through registration</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">3b) - Statutory age: An alien can become a citizen of another country if he has attained the required age as stipulated by the law of the country </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Good character : He/She must possess good character</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">================</div><div class="separator" style="clear: both;">7a) Protonationalism is generally referred to as traditional nationalists who were opposed to giving up their territories because they were denied respectable positions in their land or communities by reason of their race</div><div class="separator" style="clear: both;">==> Answers Updating.... </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(1a) </div><div class="separator" style="clear: both;">Society is referred to as the association of human beings. This suggests the whole complex of relations of man to his fellows.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">==================================</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(3a) </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- By Birth : A person is a citizen by birth if either his parents, mother or father is a citizen of a country </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- By naturalization : Somebody can become a citizen of a country where he lives through naturalization. This is possible if he can satisfy the constitutional requirements for naturalization </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Marriage or Registration : If a woman is married to a person of another nationality, she can acquire the citizenship of the husband's country through registration</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">==================================</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">3b)</div><div class="separator" style="clear: both;">- Statutory age: An alien can become a citizen of another country if he has attained the required age as stipulated by the law of the country </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Good character : He/She must possess good character</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">==================================</div><div class="separator" style="clear: both;">==> Answers Updating.... </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(1a) </div><div class="separator" style="clear: both;">Society is referred to as the association of human beings. This suggests the whole complex of relations of man to his fellows.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">1b)</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(i) Society is a largest human group.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(ii) It satisfies the needs of its members.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(iii)One of the characteristic of society is having sense of belonging and cooperation. It is more or less permanent association</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(iv) It is abstract (Because social relationships can be felt and imagined and cannot be seen).</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(v) Everyone in society is dependent upon every other member.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(vi) It should be organized i.e. will be having division of labor.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(vii) "There is consciousness of kind." Among the members of society.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(viii) It is always changing.</div><div class="separator" style="clear: both;">It has its own means to survive.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(ix) It is a self-sufficient social system.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(x)It lasts for a longer period of time than groups and communities.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(xi) One of the characteristic of society has its own culture.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">==================================</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(3a) </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- By Birth : A person is a citizen by birth if either his parents, mother or father is a citizen of a country </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- By naturalization : Somebody can become a citizen of a country where he lives through naturalization. This is possible if he can satisfy the constitutional requirements for naturalization </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Marriage or Registration : If a woman is married to a person of another nationality, she can acquire the citizenship of the husband's country through registration</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">==================================</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">3b)</div><div class="separator" style="clear: both;">- Statutory age: An alien can become a citizen of another country if he has attained the required age as stipulated by the law of the country </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Good character : He/She must possess good character</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">==================================</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">7a)</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Protonationalism is generally referred to as traditional nationalists who were opposed to giving up their territories because they were denied respectable positions in their land or communities by reason of their race</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">7b)</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Economic exploitation : There was economic exploitation of Nigerians by foreign firms</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Administrative post: Nigerians were not allowed to hold any administrative posts and the highest they could attain was that of Chief Clerk</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Lake of adequate educational facilities : The missionaries who were out to provide education did not achieve much due to financial problens</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Racial segregation : Discrimination against the natives was mostly witnessed in the 20th century in Nigeria.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">==================================</div><div class="separator" style="clear: both;">*_NIGERIA_*👇🏽</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">7a) Protonationalism is generally referred to as traditional nationalists who were opposed to giving up their territories because they were denied respectable positions in their land or communities by reason of their race</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">==============================</div><div class="separator" style="clear: both;">7b)- Economic exploitation : There was economic exploitation of Nigerians by foreign firms</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Administrative post: Nigerians were not allowed to hold any administrative posts and the highest they could attain was that of Chief Clerk</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Lake of adequate educational facilities : The missionaries who were out to provide education did not achieve much due to financial problens</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Racial segregation : Discrimination against the natives was mostly witnessed in the 20th century in Nigeria.</div><div class="separator" style="clear: both;">10)</div><div class="separator" style="clear: both;">-Language barrier There are three languages that are used for communication within the ECOWAS bloc, that is English, French and Portuguese.  </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Human Rights Abuses Another problem of the ECOWAS group is the penchant of the member states to abuse the human rights of their citizens. The human rights records of some member states is nothing to write home about. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Financial problems The aims and objectives of the ECOWAS can only be achieved when the financial base of the community is solid. However, some member states are not able to honour their financial obligations to the community.</div><div class="separator" style="clear: both;"> </div><div class="separator" style="clear: both;">- Strong External Influence:  Many of the member states of ECOWAS were former colonies of some former colonial powers. Countries such as Britain, France and Portugal ever had a colony</div><div class="separator" style="clear: both;">or two that now belong to the ECOWAS group.  </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Widespread Poverty: Many of the member states of ECOWAS are among the poorest of the poor nations in the world. Many of their citizens earn less that a dollar a day.</div><div class="separator" style="clear: both;">2(a)Communalism: This is a social political and economic arrangement in which landed property and other natural resources of a given society ate collectively owed, managed and together my improved by community for the common goals of everybody</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">2a</div><div class="separator" style="clear: both;">*Tabulate*</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">*_Under Feudalism_*</div><div class="separator" style="clear: both;">1.There's is no collective ownership</div><div class="separator" style="clear: both;">2. There is room for exploitation</div><div class="separator" style="clear: both;">3.There's is provision of annual tributes point by the tenants to the lords</div><div class="separator" style="clear: both;">4. Tenants holds lands in trust for the lords</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">*_Under Communalism_*</div><div class="separator" style="clear: both;">1. There is collective ownership of the resources</div><div class="separator" style="clear: both;">2. There is no room for exploitation</div><div class="separator" style="clear: both;">3. There is no annual tribute paid</div><div class="separator" style="clear: both;">4. There is collective ownership and management land</div></div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both;">2(a)Communalism: This is a social political and economic arrangement in which landed property and other natural resources of a given society ate collectively owed, managed and together my improved by community for the common goals of everybody</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><div class="separator" style="clear: both;">10)</div><div class="separator" style="clear: both;">-Language barrier There are three languages that are used for communication within the ECOWAS bloc, that is English, French and Portuguese.  </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Human Rights Abuses Another problem of the ECOWAS group is the penchant of the member states to abuse the human rights of their citizens. The human rights records of some member states is nothing to write home about. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Financial problems The aims and objectives of the ECOWAS can only be achieved when the financial base of the community is solid. However, some member states are not able to honour their financial obligations to the community.</div><div class="separator" style="clear: both;"> </div><div class="separator" style="clear: both;">- Strong External Influence:  Many of the member states of ECOWAS were former colonies of some former colonial powers. Countries such as Britain, France and Portugal ever had a colony</div><div class="separator" style="clear: both;">or two that now belong to the ECOWAS group.  </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">- Widespread Poverty: Many of the member states of ECOWAS are among the poorest of the poor nations in the world. Many of their citizens earn less that a dollar a day.</div></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div></div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">Keep refreshing </div>

Wassce2018/2019-Waec 2018/2019 government objective and thoery

Waec 2018/2019 government objective and Govt-Obj 1-10: CADBCBBBDB 11-20: BDCCDABAAB 21-30: ACCAAACAAB 31-40: ADDCDDDDCC 41-50: ACAAABA...

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WSCE2018/2019- WAEC 2018/2019 PHYSICS objective and thoery

<b>WAEC 2018/2019 PHYSICS objective and thoery</b><div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZJXjKo_C-fG9y1fd3zeU62ERiQpeNaRelOPaFVyVqL54TKhXKFLYaO1c33fcXIZjlbhHy5UNTYsYRQuuggq_CagFV6eVzikx54JvyzYOp1an9FM3Qg_Qpk0rDoyj_ZP7e0mXKRqiY8B4/s1600/LEGIT+2018+WAEC+RUNX+20180328_212421.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"> <img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiZJXjKo_C-fG9y1fd3zeU62ERiQpeNaRelOPaFVyVqL54TKhXKFLYaO1c33fcXIZjlbhHy5UNTYsYRQuuggq_CagFV6eVzikx54JvyzYOp1an9FM3Qg_Qpk0rDoyj_ZP7e0mXKRqiY8B4/s640/LEGIT+2018+WAEC+RUNX+20180328_212421.jpg"> </a> </div><div class="separator" style="clear: both; text-align: center;">10a) Diffraction refers to various phenomena that occur when a wave encounters an obstacle or a slit. It is defined as the bending of light around the corners of an obstacle or aperture into the region of geometrical shadow of the obstacle. 2 )</div><div class="separator" style="clear: both; text-align: center;">i ) quantity of charge</div><div class="separator" style="clear: both; text-align: center;">ii) nature of element</div><div class="separator" style="clear: both; text-align: center;">iii ) Time</div><div class="separator" style="clear: both; text-align: center;">======================</div><div class="separator" style="clear: both; text-align: center;">4a)An intrinsic semiconductor, also called an undoped semiconductoror i-type semiconductor, is a pure semiconductor without any significant dopant species present. The number of charge carriers is therefore determined by the properties of the material itself instead of the amount of impurities.</div><div class="separator" style="clear: both; text-align: center;">=========================</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">7(a). LASER stands for Light Amplification by Stimulated Emission of Radiation. </div><div class="separator" style="clear: both; text-align: center;">  </div><div class="separator" style="clear: both; text-align: center;">    (b). A laser is a device that emits a beam of coherent light through an optical amplification process.</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">========================</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">10a) Diffraction refers to various phenomena that occur when a wave encounters an obstacle or a slit. It is defined as the bending of light around the corners of an obstacle or aperture into the region of geometrical shadow of the obstacle.</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">10b)</div><div class="separator" style="clear: both; text-align: center;">Critical angle: the angle of incidence beyond which rays of light passing through a denser medium to the surface of a less dense medium are no longer refracted but totally reflected.</div><div class="separator" style="clear: both; text-align: center;">=========================</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">12a)</div><div class="separator" style="clear: both; text-align: center;"> binding energy is the minimum energy that would be required to disassemble the nucleus of an atom into its component parts. These component parts are neutrons and protons, which are collectively called nucleons.</div><div class="separator" style="clear: both; text-align: center;">7(a). LASER stands for Light Amplification by Stimulated Emission of Radiation. </div><div class="separator" style="clear: both; text-align: center;">  </div><div class="separator" style="clear: both; text-align: center;">    (b). A laser is a device that emits a beam of coherent light through an optical amplification process.</div><div class="separator" style="clear: both; text-align: center;">4a)An intrinsic semiconductor, also called an undoped semiconductoror i-type semiconductor, is a pure semiconductor without any significant dopant species present. The number of charge carriers is therefore determined by the properties of the material itself instead of the amount of impurities.</div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both;">5)</div><div class="separator" style="clear: both;">i)They are used In making electric motors</div><div class="separator" style="clear: both;">ii)They are used In making radio loud speaker </div><div class="separator" style="clear: both;">iii)They are used In making aerial transistors</div><div class="separator" style="clear: both;">iv)They are used In making DC dynamo</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">4a)</div><div class="separator" style="clear: both;">Satellite are used for monitoring weather conditions </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">4b)</div><div class="separator" style="clear: both;">i)Rockets are used for space travel</div><div class="separator" style="clear: both;">ii)military uses, </div><div class="separator" style="clear: both;">iii)launching satellites into space</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">2)</div><div class="separator" style="clear: both;">i)quantity of charge</div><div class="separator" style="clear: both;">ii)nature of element</div><div class="separator" style="clear: both;">iii)Time</div></div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both;">12a) This is defined as the amount of energy that must be supplied to a nucleus to completely separate it's nuclear particles (nucleons)</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">12b) </div><div class="separator" style="clear: both;">i) They have short wavelength and high frequency. </div><div class="separator" style="clear: both;">ii) They are highly penetrating. </div><div class="separator" style="clear: both;">iii) They travel in straight lines. </div><div class="separator" style="clear: both;">iv) They don't require material medium for their propagation.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">12c) </div><div class="separator" style="clear: both;">i)It is used in production of electricity. </div><div class="separator" style="clear: both;">ii)It is used to study and detect charges in genetic engineering. </div><div class="separator" style="clear: both;">iii)It is used in agriculture. </div><div class="separator" style="clear: both;">iv)It is used in treatment of cancer. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">12di)</div><div class="separator" style="clear: both;">E = hf-hfo</div><div class="separator" style="clear: both;">but f = v/landa</div><div class="separator" style="clear: both;">E= v/landa.h - wo</div><div class="separator" style="clear: both;">Where wo = hfo = work function </div><div class="separator" style="clear: both;">f= frequency </div><div class="separator" style="clear: both;">landa = wavelength </div><div class="separator" style="clear: both;">Hence </div><div class="separator" style="clear: both;">hf = hfo - E</div><div class="separator" style="clear: both;">f = hfo - E/h</div><div class="separator" style="clear: both;">f = wo - E/h</div><div class="separator" style="clear: both;">Recall; that v = f landa</div><div class="separator" style="clear: both;">Therefore f = v/landa = 3×10^8/4.5×10-7</div><div class="separator" style="clear: both;">=3/4.5 × 10^8+7</div><div class="separator" style="clear: both;">=6.6×10^14Hz</div><div class="separator" style="clear: both;">f = 6.6×10^14Hz</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">12dii) </div><div class="separator" style="clear: both;">E = hf</div><div class="separator" style="clear: both;">=6.6×10^-34 × 6.6×10^14Hz</div><div class="separator" style="clear: both;">=43.56×10^-20J</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">12diii) </div><div class="separator" style="clear: both;">Energy of the photoelectron E = hf - vo</div><div class="separator" style="clear: both;">=Energy of incident electron - work function </div><div class="separator" style="clear: both;">=4.356×10^-19J - 3.0×10^-19J</div><div class="separator" style="clear: both;">=1.356×10^-19J</div><div class="separator" style="clear: both;">6)</div><div class="separator" style="clear: both;">Given constant = 2.9×10^-3mk</div><div class="separator" style="clear: both;">Temperature = 57degreeC = (57+273)k = 330k</div><div class="separator" style="clear: both;">Using landamaxT = constant </div><div class="separator" style="clear: both;">landamaxT330 = 2.9×10^-3</div><div class="separator" style="clear: both;">landamax = 2.9×10^-3/330</div><div class="separator" style="clear: both;">landamax = 8.788×10^-6m</div><div class="separator" style="clear: both;">The speed of electromagnetic wave, v = 3×10^8m/s</div><div class="separator" style="clear: both;">Using V = f landa</div><div class="separator" style="clear: both;">f = v/landa</div><div class="separator" style="clear: both;">=3×10^8/8.788×10^-6</div><div class="separator" style="clear: both;">=3.4×10^13Hz</div><div class="separator" style="clear: both;">(12a) This is defined as the amount of energy that must be supplied to a nucleus to completely separate it's nuclear particles (nucleons)</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(12b) </div><div class="separator" style="clear: both;">(i) They have short wavelength and high frequency. </div><div class="separator" style="clear: both;">(ii) They are highly penetrating. </div><div class="separator" style="clear: both;">(iii) They travel in straight lines. </div><div class="separator" style="clear: both;">(iv) They don't require material medium for their propagation.</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(12c) </div><div class="separator" style="clear: both;">-It is used in production of electricity. </div><div class="separator" style="clear: both;">-It is used to study and detect charges in genetic engineering. </div><div class="separator" style="clear: both;">-It is used in agriculture. </div><div class="separator" style="clear: both;">-It is used in treatment of cancer. </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(12di)</div><div class="separator" style="clear: both;">E = hf-hfo</div><div class="separator" style="clear: both;">but f = v/landa</div><div class="separator" style="clear: both;">E= v/landa.h - wo</div><div class="separator" style="clear: both;">Where wo = hfo = work function </div><div class="separator" style="clear: both;">f= frequency </div><div class="separator" style="clear: both;">landa = wavelength </div><div class="separator" style="clear: both;">Hence </div><div class="separator" style="clear: both;">hf = hfo - E</div><div class="separator" style="clear: both;">f = hfo - E/h</div><div class="separator" style="clear: both;">f = wo - E/h</div><div class="separator" style="clear: both;">Recall; that v = f landa</div><div class="separator" style="clear: both;">Therefore f = v/landa = 3×10^8/4.5×10-7</div><div class="separator" style="clear: both;">=3/4.5 × 10^8+7</div><div class="separator" style="clear: both;">=6.6×10^14Hz</div><div class="separator" style="clear: both;">f = 6.6×10^14Hz</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(12dii) </div><div class="separator" style="clear: both;">E = hf</div><div class="separator" style="clear: both;">=6.6×10^-34 × 6.6×10^14Hz</div><div class="separator" style="clear: both;">=43.56×10^-20J</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">(12diii) </div><div class="separator" style="clear: both;">Energy of the photoelectron E = hf - vo</div><div class="separator" style="clear: both;">=Energy of incident electron - work function </div><div class="separator" style="clear: both;">=4.356×10^-19J - 3.0×10^-19J</div><div class="separator" style="clear: both;">=1.356×10^-19J</div><div class="separator" style="clear: both;">PHYSICS OBJ:</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">1-10: BAABACBADB</div><div class="separator" style="clear: both;">11-20:ACCCDABDCC</div><div class="separator" style="clear: both;">21-30: </div><div class="separator" style="clear: both;">31-40: </div><div class="separator" style="clear: both;">41-50: </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Please don't rush use our own obj</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Stay calm and relax </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Solving ✍✍✍</div></div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;"><br></div><div class="separator" style="clear: both; text-align: center;">Keep  refreshing till tomorrow </div><div class="separator" style="clear: both; text-align: center;"> <a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3lV1VRB-OKtnuvswzu2wii31BWJdAywf0ES4k8BpiVa0dYT_KVarm4Yqd9kHCWQewRfjaG9GO93IMHZYWoVEUEFqa3Vj-7AWNDBXAsNBX-qoJCanqU2HLRlERAk4cfMNyLcI0-uBhT6g/s1600/IMG-20180420-WA0042.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"> <img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEh3lV1VRB-OKtnuvswzu2wii31BWJdAywf0ES4k8BpiVa0dYT_KVarm4Yqd9kHCWQewRfjaG9GO93IMHZYWoVEUEFqa3Vj-7AWNDBXAsNBX-qoJCanqU2HLRlERAk4cfMNyLcI0-uBhT6g/s640/IMG-20180420-WA0042.jpg"> </a> </div><div class="separator" style="clear: both; text-align: center;"><div class="separator" style="clear: both;">*PHYSICS OBJ*</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">9JAlik </div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">1-10 CAABACBADB</div><div class="separator" style="clear: both;">11-20 ACCCDABDCC</div><div class="separator" style="clear: both;">21-30 DBADCABCAB</div><div class="separator" style="clear: both;">31-40 CCBBCCBABD</div><div class="separator" style="clear: both;">41-50 BDCDBABBDC</div><div class="separator" style="clear: both;"><br></div><div class="separator" style="clear: both;">Wish you all good luck</div></div>

WSCE2018/2019- WAEC 2018/2019 PHYSICS objective and thoery

WAEC 2018/2019 PHYSICS objective and thoery 10a) Diffraction refers to various phenomena that occur when a wave encounters an obstacle o...

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Wassce 2018/2019 waec 2018/2019 mathematics obj qnd thoery

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<b>waec 2018/2019 mathematicsobj qnd thoery</b><br><br><br><br><br><br><br><br><br><br><br></div>
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<b style="font-family: sans-serif; text-align: start;">waec 2018/2019 mathematicsobj qnd thoery</b></div>
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NO2) Given that y = 2pxˆ² – p² x – 14</div>
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AT (3, 10)</div>
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10 = 2p(3)²  – p² (3) – 14</div>
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10 = 18p – 3p²  – 14</div>
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3p²  – 18p + 24 = 0</div>
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p²  – 6p + 8 = 0</div>
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using factor method,</div>
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p²  – 2p -4p + 8 = 0</div>
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p(p-2) – 4(p-2) = 0</div>
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(p-4)(p-2) = 0</div>
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p-4 = 0 or p-4 = 0</div>
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p= 4 or p =2</div>
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*4A ii*</div>
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RSQ=(x+90)°</div>
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RSQ=37.5°+90°</div>
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RSQ=127.5°</div>
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General mathematics answer</div>
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NO1) On February 28th 2012, value = (100-30/100) * #900,00.00</div>
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= 70/100 * #900,00</div>
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= #630,000.00</div>
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On february 28th 2013, value = (100-22/1000 * #630,00</div>
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= 78/100 8 #630,000</div>
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= #491,400</div>
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On february 28th 2014, value = 78/100 8 #491,400</div>
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=383,292</div>
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On february 28th 2015, value = 78/100 * #383,292</div>
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= #298,967.76</div>
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===============</div>
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NO2) Given that y = 2pxˆ² – p² x – 14</div>
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AT (3, 10)</div>
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10 = 2p(3)²  – p² (3) – 14</div>
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10 = 18p – 3p²  – 14</div>
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3p²  – 18p + 24 = 0</div>
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p²  – 6p + 8 = 0</div>
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using factor method,</div>
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p²  – 2p -4p + 8 = 0</div>
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p(p-2) – 4(p-2) = 0</div>
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(p-4)(p-2) = 0</div>
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p-4 = 0 or p-4 = 0</div>
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p= 4 or p =2</div>
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=================</div>
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4a) </div>
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Rate = 2/100 * N0.02 per month Rate per annum = 0.02 * 12 = 0.24 per annum</div>
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 (4b) Draw the Diagram =======================</div>
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‬(4A ii)</div>
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RSQ=(x+90)°</div>
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RSQ=37.5°+90°</div>
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RSQ=127.5°</div>
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🇳🇬🇳🇬🇳🇬🇳🇬🇳🇬🇳🇬👇🏽NIGERIA</div>
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*MATHEMATICS  ANSWERS*</div>
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(1) </div>
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On February 28th 2012, value = (100-30/100) * #900,00.00</div>
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= 70/100 * #900,00</div>
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= #630,000.00</div>
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On february 28th 2013, value = (100-22/1000 * #630,00</div>
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= 78/100 8 #630,000</div>
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= #491,400</div>
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On february 28th 2014, value = 78/100 8 #491,400</div>
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=383,292</div>
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On february 28th 2015, value = 78/100 * #383,292</div>
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= #298,967.76</div>
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=============================</div>
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(2)</div>
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 Given that y = 2pxˆ² – p² x – 14</div>
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AT (3, 10)</div>
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10 = 2p(3)²  – p² (3) – 14</div>
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10 = 18p – 3p²  – 14</div>
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3p²  – 18p + 24 = 0</div>
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p²  – 6p + 8 = 0</div>
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using factor method,</div>
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p²  – 2p -4p + 8 = 0</div>
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p(p-2) – 4(p-2) = 0</div>
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(p-4)(p-2) = 0</div>
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p-4 = 0 or p-4 = 0</div>
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p= 4 or p =2</div>
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2b) </div>
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The lines must be solved simultenously</div>
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3y – 2x = 21 ——- (1)</div>
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4y + 5x = 5 ——-(2)</div>
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using elimination method,</div>
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(4)  3y – 2x = 21</div>
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(30 4y + 5x = 5</div>
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12y – 8y = 84 ——— (3)</div>
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12y + 15x = 15 ——-(4)</div>
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equ (4) minus equ(3)</div>
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23x = -69</div>
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x = -69/23</div>
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x = -3</div>
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Put this into equation (1)</div>
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3y -2(-3) = 21</div>
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3y = 6 = 21</div>
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3y = 21 -6</div>
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3y = 15</div>
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y =15/3</div>
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y = 5</div>
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coordinates of Q is (-3, 5)</div>
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(3a)</div>
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The diagonal = 10.2m and 9.3cm</div>
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Using Pythagoras theory </div>
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Ac² = 10.2² + 9-3²</div>
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Ac² = 104.04 + 86.49</div>
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Ac² = 190.53</div>
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Ac² = √190.53</div>
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Ac² = 13.80</div>
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(3b)</div>
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DRAW THE DIAGRAM</div>
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Using Pythagoras theory </div>
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5² = 3² + x²</div>
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x² = 5² - 3²</div>
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X²= 25 - 9</div>
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X² = √16</div>
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X= 4cm</div>
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CosX = adjacent/hyp</div>
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= 4/5</div>
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Tan X = opp/adj. = 3/4</div>
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5cos x - 4tan x</div>
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5(4/5)- 4(3/4)</div>
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20/5 - 12/4</div>
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4-3= 1</div>
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3a)</div>
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The diagonal = 10.2m and 9.3cm</div>
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Using Pythagoras theory</div>
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Ac² = 10.2² + 9-3²</div>
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Ac² = 104.04 + 86.49</div>
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Ac² = 190.53</div>
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Ac² = √190.53</div>
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Ac² = 13.80</div>
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3b)</div>
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DRAW THE DIAGRAM</div>
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Using Pythagoras theory</div>
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5² = 3² + x²</div>
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x² = 5² - 3²</div>
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X²= 25 - 9</div>
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X² = √16</div>
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X= 4cm</div>
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CosX = adjacent/hyp</div>
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= 4/5</div>
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Tan X = opp/adj. = 3/4</div>
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5cos x - 4tan x</div>
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5(4/5)- 4(3/4)</div>
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20/5 - 12/4</div>
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4-3= 1</div>
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4ai)</div>
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sum of angle in a D =180degree</div>
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xdegree + 90degree + 180degree - (3x+15)=180degree</div>
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xdegree + 90degree + 180degree - 3x+15=180degree</div>
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-2x=180degree - 255</div>
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+2x/2=+75/2</div>
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x=37.5</div>
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4aii)</div>
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<RsQ =180 - (3x+15)</div>
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<RsQ =180-(3*37.5+15)</div>
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=180-(112.5 + 15)</div>
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=180 - 127.5</div>
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<RsQ= 52.5degree</div>
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4b)</div>
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2N4seven =15Nnine</div>
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2*7^2+N*7^1+4*7degree =1*9^2 + 5*9^1+N*9degree</div>
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9*49+N*7+4*1=1*81+5*9+N*1</div>
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98+7N+4=81+45+N</div>
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7N+102=126+N</div>
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7N-N=126-102</div>
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6N/6 =24/6</div>
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N=4</div>
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(4ai) x + 90 degrees = 3x+15(sum of two inter <s= exterior <)</div>
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Collecting like terms</div>
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90-15= 3x -x</div>
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75= 2x</div>
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x= 75/2</div>
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x= 37.5</div>
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(4aii) x^degrees + 90+<RSQ = 180deggrees(sum of <s in a Triangle) </div>
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37.5 + 90+ <RSQ= 180</div>
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127.5 + <RSQ= 180</div>
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<RSQ= 180 - 127.5</div>
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<RSQ= 52.5 degrees</div>
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(4b) If 2N4 seven = 15N nine.  Find N</div>
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Converting all to base 10</div>
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2x7^2+Nx7^1+4x7^0= 1x9^2+5x9^1+Nx9^0</div>
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2x49+7N+4x1= 1x81+5x9+Nx1</div>
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98+7N+4= 81+45+N</div>
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Collecting like terms </div>
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7N-N= 81+45-98-4</div>
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6N= 24</div>
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N=24/6</div>
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N=4</div>
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(3a)Using Pythagoras theorem let the side of the rhombus = x</div>
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x^2= (10.2/2)^2 + (9.3/2)^2</div>
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x^2= 5.1^2 + 4.65^2</div>
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x^2= 26.01 + 21.62</div>
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x^2= 47.63</div>
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x= sqroot of 47.63</div>
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x= 6.9</div>
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Sides= 6.9cm</div>
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But perimeter of rhombus = 4x</div>
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Perimeter = 4x6.9</div>
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Perimeter = 27.6cm</div>
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(3b) Sin x= 3/5</div>
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Opp= 3, Hyp= 5</div>
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Let adjacent = x</div>
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From Pythagoras theoren</div>
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5^2= 3^2+x^2</div>
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25= 9+x^2</div>
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x^2= 25-9</div>
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x^2= 16</div>
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x= sqroot of 16</div>
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x= 4</div>
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5cosx-4tanx</div>
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=4 - 3= 1</div>
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5cosx-4tanx= 1</div>
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(10a) Using Pythagoras theorem from SPQ</div>
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|SQ|^2 = 12^2 + 5^2</div>
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= 144+25</div>
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=169</div>
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SQ= sqroot of 169</div>
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= 13cm</div>
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Sin tita= 5/13 = 0.3846</div>
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Tita= Sin^-1(0.3846)</div>
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= 22.6degrees</div>
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From PRQ</div>
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Sin tita= |PR|/12</div>
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Sin 22.6 = PR/12</div>
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Sin 22.6= PR/12</div>
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PR= 12xsin 22.6</div>
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PR= 12x0.3843</div>
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PR= 4.61cm</div>
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(10bii)Let the height at which m touches the wall= y</div>
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Cos x^degrees= 8/10= 0.8</div>
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x^degrees= Cos^-1(0.8)</div>
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= 36.87degrees</div>
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Sin x^degrees = y/12</div>
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Sin 36.87= y/12</div>
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y= 12xsin36.87</div>
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y= 12x0.60000</div>
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y= 7.2m</div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnnUmD2xPjAjtrdFDIb0yL6DtI4UeGCeK_caBOyV2KVaBjyPYl54HQ81yS8vyX4Ihf3EikDvYd9aEUG3wCCbw_KBA0-akTcQ3ycZlF_BJcCtHTF6p0jWj5ZLQ9ppOFmBhT4CYxSoCzY-0/s1600/IMG-20180418-WA0010.jpg" imageanchor="1" style="font-family: sans-serif; margin-left: 1em; margin-right: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgnnUmD2xPjAjtrdFDIb0yL6DtI4UeGCeK_caBOyV2KVaBjyPYl54HQ81yS8vyX4Ihf3EikDvYd9aEUG3wCCbw_KBA0-akTcQ3ycZlF_BJcCtHTF6p0jWj5ZLQ9ppOFmBhT4CYxSoCzY-0/s640/IMG-20180418-WA0010.jpg"></a><font color="#0000ee" face="sans-serif"><u>*MATHEMATICS  ANSWERS*</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>NO9) Using cosine rule,</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>|TQ|ˆ² = 4ˆ² + 6 ˆ² – 2(4)(6) cos30°</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>|TQ|ˆ² = 16 + 36 – 48(0.8660)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>|TQ|ˆ² = 52 – 41.568</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>|TQ|ˆ² = 10.432</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>TQ = √10.432</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>TQ = 3.23CM</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>From similar triangles;</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>|PT|/|TQ| = |PS|/|SR|</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>4/3.23 = 10/|SR|</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>4|SR| = 32.3</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>|SR| = 32.3/4</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>|SR| = 8CM (nearest whole number)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(10a) Using Pythagoras theorem from SPQ</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>|SQ|^2 = 12^2 + 5^2</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= 144+25</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>=169</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>SQ= sqroot of 169</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= 13cm</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Sin tita= 5/13 = 0.3846</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Tita= Sin^-1(0.3846)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= 22.6degrees</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>From PRQ</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Sin tita= |PR|/12</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Sin 22.6 = PR/12</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Sin 22.6= PR/12</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>PR= 12xsin 22.6</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>PR= 12x0.3843</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>PR= 4.61cm</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(10bii)Let the height at which m touches the wall= y</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Cos x^degrees= 8/10= 0.8</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>x^degrees= Cos^-1(0.8)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= 36.87degrees</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Sin x^degrees = y/12</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Sin 36.87= y/12</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>y= 12xsin36.87</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>y= 12x0.60000</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>y= 7.2m</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(6a)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Draw the Venn diagram</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Let the number of cars with faults in brakes only be x</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(6b) Number that passed = 60% × 240 = 144</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Number that failed =</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>240 - 144 = 96</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Therefore; 28+2x+x+14+6+6-x+8 = 96</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>2x + 62 = 96</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>2x = 96 - 62</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>2x = 34</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>X = 34/2</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>X = 17</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(i) faulty brakes cars = 8+6+x+6-x</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= 8+6+6</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>=20</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(ii) only one fault = 28+x+2x</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>=28+3x</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>=28+3(19)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>=28+51</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= 79</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(1) </u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>On February 28th 2012, value = (100-30/100) * #900,00.00</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= 70/100 * #900,00</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= #630,000.00</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>On february 28th 2013, value = (100-22/1000 * #630,00</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= 78/100 8 #630,000</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= #491,400</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>On february 28th 2014, value = 78/100 8 #491,400</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>=383,292</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>On february 28th 2015, value = 78/100 * #383,292</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= #298,967.76</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>=============================</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(2)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u> Given that y = 2pxˆ² – p² x – 14</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>AT (3, 10)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>10 = 2p(3)²  – p² (3) – 14</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>10 = 18p – 3p²  – 14</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>3p²  – 18p + 24 = 0</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>p²  – 6p + 8 = 0</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>using factor method,</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>p²  – 2p -4p + 8 = 0</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>p(p-2) – 4(p-2) = 0</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(p-4)(p-2) = 0</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>p-4 = 0 or p-4 = 0</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>p= 4 or p =2</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>2b) </u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>The lines must be solved simultenously</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>3y – 2x = 21 ——- (1)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>4y + 5x = 5 ——-(2)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>using elimination method,</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(4)  3y – 2x = 21</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>(30 4y + 5x = 5</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>12y – 8y = 84 ——— (3)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>12y + 15x = 15 ——-(4)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>equ (4) minus equ(3)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>23x = -69</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>x = -69/23</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>x = -3</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Put this into equation (1)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>3y -2(-3) = 21</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>3y = 6 = 21</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>3y = 21 -6</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>3y = 15</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>y =15/3</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>y = 5</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>coordinates of Q is (-3, 5)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>===========================================</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>NO3) DRAW THE DIAGRAM.</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Using pythagoras theorem,</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>lˆ² = 5.1ˆ² + 4.65ˆ²</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>lˆ² = 26.01 + 21.6225</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>lˆ² = 47.6325</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>l = √47.6325</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>l = 6.9cm (1d.p)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>perimeter of phombus = 41</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>4 * 6.9</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= 27.6cm</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>3b)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>DRAW THE DIAGRAM</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Using Pythagoras theory</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>5² = 3² + x²</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>x² = 5² - 3²</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>X²= 25 - 9</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>X² = √16</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>X= 4cm</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>CosX = adjacent/hyp</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>= 4/5</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>Tan X = opp/adj. = 3/4</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>5cos x - 4tan x</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>5(4/5)- 4(3/4)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>20/5 - 12/4</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>4-3= 1</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>=====================================</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>4ai)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>sum of angle in a D =180degree</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>xdegree + 90degree + 180degree - (3x+15)=180degree</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>xdegree + 90degree + 180degree - 3x+15=180degree</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>-2x=180degree - 255</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>+2x/2=+75/2</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>x=37.5</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>4aii)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>< RsQ =180 - (3x+15)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>< RsQ =180-(3*37.5+15)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>=180-(112.5 + 15)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>=180 - 127.5</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>< RsQ= 52.5degree</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u><br></u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>4b)</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>2N4seven =15Nnine</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>2*7^2+N*7^1+4*7degree =1*9^2 + 5*9^1+N*9degree</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>9*49+N*7+4*1=1*81+5*9+N*1</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>98+7N+4=81+45+N</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>7N+102=126+N</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>7N-N=126-102</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>6N/6 =24/6</u></font></div><div style="text-align: center;"><font color="#0000ee" face="sans-serif"><u>N=4</u></font></div>
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