Create the page "Pi over two" on this wiki! See also the search results found.

• 1986 AHSME Problems/Problem 21
  pair A=(0,-1), E=(0,1), C=(0,0), D=dir(10), F=dir(190), B=(-1/sin(10*pi/180))*dir(10); ...for the equality of the two shaded areas, given <math>0 < \theta < \frac{\pi}{2}</math>, is
  2 KB (301 words) - 18:50, 1 April 2018
• 2014 AMC 8 Problems
  The sum of two prime numbers is 85. What is the product of these two prime numbers? ...ike from his house to Jill's house, which is located three blocks east and two blocks north of Jack's house. After biking each block, Jack can continue ei
  13 KB (1,957 words) - 12:08, 13 January 2024
• 2014 AMC 8 Problems/Problem 25
  ...}\frac{\pi}{5}\qquad\textbf{(D) }\frac{2\pi}{5}\qquad\textbf{(E) }\frac{2\pi}{3} </math> ...h> and time = distance/rate) to arrive at <math>\boxed{\textbf{(B) }\frac{\pi}{10}}</math> hours.
  2 KB (395 words) - 12:16, 17 January 2024
• 2015 AMC 10A Problems
  The sum of two positive numbers is <math> 5 </math> times their difference. What is the ra Two years ago Pete was three times as old as his cousin Claire. 2 years before
  12 KB (1,887 words) - 08:13, 6 June 2024
• 2015 AMC 12A Problems
  Two of the three sides of a triangle are 20 and 15. Which of the following numb The sum of two positive numbers is 5 times their difference. What is the ratio of the larg
  13 KB (2,117 words) - 12:33, 24 August 2023
• 2015 AMC 10A Problems/Problem 9
  ...e radius of the first. What is the relationship between the heights of the two cylinders? ...uting the first equation into the second and dividing both sides by <math>\pi</math>, we get <cmath>r_1^2h_1=\frac{121r_1^2}{100}h_2\implies h_1=\frac{12
  2 KB (258 words) - 23:04, 26 June 2023
• 2015 AMC 10A Problems/Problem 25
  ...tween the points is at least <math>\dfrac{1}{2}</math> of <math>\dfrac{a-b\pi}{c}</math>, where <math>a</math>, <math>b</math>, and <math>c</math> are po ...0.25 - x^2} dx = 4\left( \frac{1}{4} - \frac{\pi}{16} \right) = 1 - \frac{\pi}{4}.</cmath>
  8 KB (1,406 words) - 13:45, 16 July 2024
• 2015 AMC 10A Problems/Problem 12
  Points <math>( \sqrt{\pi} , a)</math> and <math>( \sqrt{\pi} , b)</math> are distinct points on the graph of <math>y^2 + x^4 = 2x^2 y + ...(C)} \ 2 \qquad\textbf{(D)} \ \sqrt{1+\pi} \qquad\textbf{(E)} \ 1 + \sqrt{\pi} </math>
  2 KB (418 words) - 15:25, 1 August 2022
• 2015 AMC 10A Problems/Problem 14
  ...t 6:00. It would already have completed three 180 degree turns. Therefore, two 180 degree turns would be completed at 4:00. ...s <math>20\pi</math>, so that is <math>20\pi</math> traveled on a <math>60\pi</math> arrow path. This is a ratio of 1/3, so the angle it carves is 120 de
  9 KB (1,380 words) - 09:00, 1 December 2023
• 2015 AMC 12A Problems/Problem 24
  <cmath>(\text{cos}(a\pi)+i\text{sin}(b\pi))^4</cmath> Let <math>\cos(a\pi) = x</math> and <math>\sin(b\pi) = y</math>. Consider the binomial expansion of the expression:
  5 KB (793 words) - 20:32, 26 May 2022
• 2015 AMC 12A Problems/Problem 23
  ...nce between the points is at least <math>\frac12</math> is <math>\frac{a-b\pi}{c}</math>, where <math>a,b,</math> and <math>c</math> are positive integer ...t{0.25 - x^2} dx = 4\left(\frac{1}{4} - \frac{\pi}{16}\right) = 1 - \frac{\pi}{4}.</cmath>
  12 KB (1,981 words) - 18:33, 3 September 2023
• 2015 AMC 10B Problems
  Isaac has written down one integer two times and another integer three times. The sum of the five numbers is <math ...week but never on two consecutive days. On Monday she plays basketball and two days later golf. She swims and plays tennis, but she never plays tennis the
  14 KB (2,247 words) - 11:38, 26 March 2024
• 2015 AMC 12B Problems
  Isaac has written down one integer two times and another integer three times. The sum of the five numbers is 100, ...c{\sqrt{2}}{2} \qquad\textbf{(D)}\; 4(\pi-\sqrt{3}) \qquad\textbf{(E)}\; 2\pi-\dfrac{\sqrt{3}}{2}</math>
  13 KB (2,064 words) - 13:39, 1 October 2022
• 2015 AMC 12B Problems/Problem 14
  ...c{\sqrt{2}}{2} \qquad\textbf{(D)}\; 4(\pi-\sqrt{3}) \qquad\textbf{(E)}\; 2\pi-\dfrac{\sqrt{3}}{2}</math> ...ction), so the answer is <math>4\pi-4\sqrt{3} = \boxed{\textbf{(D)}\; 4(\pi-\sqrt{3})}</math>.
  1 KB (197 words) - 15:02, 4 March 2015
• 2015 AIME I Problems/Problem 15
  ...ce on each half. The area of one of these unpainted faces is <math>a\cdot\pi + b\sqrt{c}</math>, where <math>a</math>, <math>b</math>, and <math>c</math ...\ + 12 \pi</math>. Thus, the area of section <math>ABCD</math> is <math>20\pi + 30\sqrt{3}</math>, and so our answer is <math>20+30+3=\boxed{053}</math>.
  9 KB (1,407 words) - 19:37, 17 February 2024
• Searching the community
  The first of these two options is shown in the image to the right. It is primarily useful for quic ...hat approximates how well a post correlates to the search query. The other two options, "Newest first" and "Oldest first", are self-explanatory.
  21 KB (3,334 words) - 23:53, 23 March 2022
• 2015 UNCO Math Contest II Answer Key
  2) <math>3\pi</math> meets a blue triangle along the edge where the two faces meet. Consider the two triangles
  2 KB (310 words) - 00:19, 6 November 2015
• 2019 AMC 12A Problems
  ...at <math>(2,2)</math>. What is the area of the triangle enclosed by these two lines and the line <math>x+y=10</math>? ...s in a plane, there are exactly <math>N</math> distinct points that lie on two or more of the lines. What is the sum of all possible values of <math>N</ma
  14 KB (2,178 words) - 19:28, 16 July 2024
• 2016 AMC 10B Problems
  Isaac added two three-digit positive integers. All six digits in these numbers are differen ...the complement of the other. What is the sum of the degree measures of the two angles?
  12 KB (1,868 words) - 17:50, 30 December 2023
• 2016 AMC 12B Problems
  The harmonic mean of two numbers can be calculated as twice their product divided by their sum. The ...the complement of the other. What is the sum of the degree measures of the two angles?
  14 KB (2,037 words) - 19:09, 29 July 2023

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)