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  • ...opposite [[angle]]s of measure <math>A</math>, <math>B</math> and <math>C</math>, respectively, the Law of Cosines states: In the case that one of the angles has measure <math>90^\circ</math> (is a [[right angle]]), the corresponding statement reduces to the [[Pytha
    6 KB (1,003 words) - 00:02, 20 May 2024
  • ...th>B</math>, <math>c</math> opposite to <math>C</math>, and where <math>R</math> is the circumradius: ...e can use simple trigonometry in [[right triangle]] <math> \triangle BOD </math> to find that
    4 KB (658 words) - 16:19, 28 April 2024
  • ...21, </math> and <math> CD=14. </math> Find the perimeter of <math> ABCD. </math> ...th> \mathcal{A}. </math> Find the number of possible values of <math> S. </math>
    7 KB (1,173 words) - 03:31, 4 January 2023
  • What is <math>( - 1)^1 + ( - 1)^2 + \cdots + ( - 1)^{2006}</math>? <math>
    13 KB (2,058 words) - 12:36, 4 July 2023
  • ...th>x</math> and <math>20 \%</math> of <math>y</math>. What is <math>x - y</math>? <math>
    13 KB (1,971 words) - 13:03, 19 February 2020
  • ...01 </math>. What is the largest possible value of the sum <math>I + M + O</math>? ...\qquad \textbf{(C)}\ 99 \qquad \textbf{(D)}\ 111 \qquad \textbf{(E)}\ 671</math>
    13 KB (1,948 words) - 12:26, 1 April 2022
  • ...6 \qquad (\mathrm {C}) 9 \qquad (\mathrm {D}) 12 \qquad (\mathrm {E}) 15</math> ...the values of <math>a</math>, <math>b</math>, <math>c</math>, and <math>d</math> are 0, 1, 2, and 3, although not necessarily in that order. What is the ma
    13 KB (2,049 words) - 13:03, 19 February 2020
  • ...th> dollars. They sell all the candy bars at the price of two for <math>1</math> dollar. What was their profit, in dollars? <math>
    12 KB (1,781 words) - 12:38, 14 July 2022
  • ...st <math> \textdollar 3 </math> each and sodas cost <math> \textdollar 2 </math> each. How many dollars will it cost to purchase 5 sandwiches and 8 sodas? ...B)}\ 32\qquad\mathrm{(C)}\ 33\qquad\mathrm{(D)}\ 34\qquad\mathrm{(E)}\ 35</math>
    13 KB (2,028 words) - 16:32, 22 March 2022
  • ...ath>, and <math>AD=3</math>. What is the area of quadrilateral <math>WXYZ</math> shown in the figure? ...qquad\textbf{(D) } \sqrt{2} \qquad\textbf{(E) } \frac{2\sqrt{3}}{3}\qquad</math>
    6 KB (1,066 words) - 00:21, 2 February 2023
  • Triangle <math>ABC</math> has <math>AB=9</math> and <math>BC: AC=40: 41</math>. What's the largest area that this triangle can have? ...<math>\frac{ \sqrt{a^2 + b^2} }{ \sqrt{ (a-9)^2 + b^2 } } = \frac{40}{41}</math>.
    4 KB (703 words) - 02:40, 29 December 2023
  • ...2</math>. They sell all the candy bars at a price of two for &#36;<math>1</math>. What was the profit, in dollars? ...0 \qquad \mathrm{(C)} 300 \qquad \mathrm{(D)} 400 \qquad \mathrm{(E)} 500</math>
    12 KB (1,874 words) - 21:20, 23 December 2020
  • [[University of South Carolina High School Math Contest/1993 Exam/Problem 1|Solution]] ...>a \star b = a+b+ab.</math> If <math>3\star x = 23,</math> then <math>x =</math>
    14 KB (2,102 words) - 22:03, 26 October 2018
  • ...a of the hexagonal region is <math>2116(\sqrt{2}+1).</math> Find <math>AB</math>. ...th> is a positive integer. Find the number of possible values for <math>n</math>.
    8 KB (1,350 words) - 12:00, 4 December 2022
  • ...d \mathrm{(C) \ } 786\qquad \mathrm{(D) \ } 867\qquad \mathrm{(E) \ } 876</math> ...} 24\qquad \mathrm {(C)} 25\qquad \mathrm {(D)} 26\qquad \mathrm {(E)} 28</math>
    12 KB (1,814 words) - 12:58, 19 February 2020
  • ...ets during a game. Each basket was worth either <math>2</math> or <math>3</math> points. How many different numbers could represent the total points scored ...rm{(B)}\ 3\qquad\mathrm{(C)}\ 4\qquad\mathrm{(D)}\ 5\qquad\mathrm{(E)}\ 6</math>
    12 KB (1,838 words) - 16:52, 7 October 2022
  • ...ets during a game. Each basket was worth either <math>2</math> or <math>3</math> points. How many different numbers could represent the total points scored ...}\ 3 \qquad \textbf{(C)}\ 4 \qquad \textbf{(D)}\ 5 \qquad \textbf{(E)}\ 6</math>
    14 KB (2,199 words) - 13:43, 28 August 2020
  • ...ath>C</math> on it, and the mass put on a point P is denoted as <math>m_P</math>, ...of the other point. In other words, <math>\frac{AC}{CB} = \frac{m_B}{m_A}</math>.
    5 KB (815 words) - 22:31, 1 April 2024
  • ...aughter. Tony is the youngest child. Twins Joshua and Alexis are <math>12</math> years old. ...extdollar{33}</math> for adults (Jerry and Hannah), <math>\textdollar{22}</math> for children
    71 KB (11,749 words) - 01:31, 2 November 2023
  • ...itheater has <math>33</math> seats. Rows <math>12</math> through <math>22</math> are reserved for a youth club. How many seats are reserved for this club? ...\mathrm{(C) \ } 363\qquad \mathrm{(D) \ } 396\qquad \mathrm{(E) \ } 726 </math>
    13 KB (1,988 words) - 20:19, 15 May 2024

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