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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 [[Pytha6 KB (1,003 words) - 23:02, 19 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 that4 KB (658 words) - 15:19, 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) - 02:31, 4 January 2023
- What is <math>( - 1)^1 + ( - 1)^2 + \cdots + ( - 1)^{2006}</math>? <math>13 KB (2,058 words) - 11:36, 4 July 2023
- ...th>x</math> and <math>20 \%</math> of <math>y</math>. What is <math>x - y</math>? <math>13 KB (1,965 words) - 21:18, 7 September 2024
- ...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) - 09:35, 16 June 2024
- ...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 ma13 KB (2,049 words) - 12:03, 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) - 13:59, 19 July 2024
- ...ath>a</math> and <math>b</math> are positive integers. What is <math>a+b</math>? <math>7 KB (1,182 words) - 13:31, 1 September 2024
- ...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) - 15:32, 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 (1,106 words) - 09:20, 4 November 2024
- ...th> \angle BAD = 60^\circ </math>. What is the area of rhombus <math>BFDE</math>? ...quad \textbf{(C) } 8\qquad \textbf{(D) } 9\qquad \textbf{(E) } 6\sqrt{3} </math>6 KB (926 words) - 12:18, 12 October 2024
- 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) - 22:13, 30 August 2024
- ...2</math>. They sell all the candy bars at a price of two for $<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) - 20:20, 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) - 21:03, 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) - 11:00, 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) - 11:58, 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 (1,840 words) - 19:20, 31 July 2024
- ...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) - 12:43, 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 (849 words) - 13:27, 8 August 2024