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• 2020 AMC 10A Problems
  label("V", (2, 6), NE);
  13 KB (1,968 words) - 18:32, 29 February 2024
• 2007 AIME II Problems/Problem 15
  ...ale the triangle with the circumradius by a [[line]]ar scale factor, <math>v</math>. :<math>\frac{65}{8}v=8u</math>
  11 KB (2,099 words) - 17:51, 4 January 2024
• 2007 AMC 12A Problems/Problem 20
  ...cut off corners is a [[pyramid]], whose volume can be calculated by <math>V = \frac 13 Bh</math>. Use the base as one of the three [[congruency (geomet
  2 KB (317 words) - 10:10, 16 September 2022
• 1989 USAMO Problems/Problem 2
  Call it a vertex set <math>V</math>. <math>10</math> vertices remain outside <math>V</math> and each has to be attached to at least one edge.
  3 KB (438 words) - 01:19, 27 December 2023
• 1989 USAMO Problems
  Let <math>u</math> and <math>v</math> be real numbers such that (u + u^2 + u^3 + \cdots + u^8) + 10u^9 = (v + v^2 + v^3 + \cdots + v^{10}) + 10v^{11} = 8.
  2 KB (326 words) - 18:52, 18 July 2016
• 2007 USAMO Problems/Problem 4
  Chose a vertex, <math>v</math>, for which <math>a</math> is minimal (i.e. out of all maximal elemen ...h>. So then in this special case, we have <math>D = 4</math>, and so <math>V = 2006 \times 4+1</math> (a possible configuration of this size that works
  10 KB (1,878 words) - 14:56, 30 June 2021
• Octahedron
  * The volume <math>V</math> of a regular octahedron with side length <math>a</math> is <math>\fr
  1 KB (155 words) - 12:19, 21 July 2023
• 1989 USAMO Problems/Problem 5
  Let <math>u</math> and <math>v</math> be real numbers such that <cmath> (u + u^2 + u^3 + \cdots + u^8) + 10u^9 = (v + v^2 + v^3 + \cdots + v^{10}) + 10v^{11} = 8. </cmath>
  2 KB (300 words) - 19:16, 18 July 2016
• 2004 AMC 12A Problems/Problem 11
  ...bstituting yields: <math>20n+25=21(n+1),</math> so <math>n=4</math>, <math>v = 80.</math> Then, we see that the only way Paula can satisfy this rule is
  2 KB (310 words) - 17:39, 31 December 2022
• 2004 AMC 12A Problems/Problem 6
  Let <math>U=2\cdot 2004^{2005}</math>, <math>V=2004^{2005}</math>, <math>W=2003\cdot 2004^{2004}</math>, <math>X=2\cdot 20 <math>\mathrm {(A)} U-V \qquad \mathrm {(B)} V-W \qquad \mathrm {(C)} W-X \qquad \mathrm {(D)} X-Y \qquad \mathrm {(E)} Y-
  1 KB (139 words) - 02:10, 30 December 2020
• Binet's Formula
  ...d <math>p= \frac{1-\sqrt{5}}{2}.</math> We get that <cmath>F_n = \lambda_1 v^n + \lambda_2 p^n.</cmath>Plugging in our initial conditions, we get <cmath>0 = \lambda_1 + \lambda_2 </cmath> <cmath> 1= \lambda_1 v + \lambda_2 p </cmath>
  3 KB (550 words) - 16:12, 24 February 2024
• Celsius
  ...cncn vmnsnfdv jcd vndlfencm savdnm vs,czfvndm ,cxafkvsnsm dvhbfvm c,cdfemw v,dsnekmc xvzmvsdv vndnf cnvdjnf dfnwfd fwe vndkbfwenj sdbfwenj fbhkfenlkjs
  4 KB (357 words) - 22:40, 17 April 2024
• Mass
  ...math>, where <math>M</math> is momentum, <math>m</math> is mass, and <math>v</math> is [[velocity]].
  1 KB (188 words) - 22:44, 10 October 2013
• Graph (graph theory)
  ...may be defined using ordered pairs from the [[product set]] <math>V \times V</math>. ...ay the edges <math>e</math> and <math>f</math> are ''coincident'' at <math>v</math>.
  8 KB (1,428 words) - 10:26, 27 August 2020
• 2000 AMC 12 Problems/Problem 13
  https://www.youtube.com/watch?v=OT42J21ZNC8&feature=youtu.be https://www.youtube.com/watch?v=7QU8OlnljHw ~David
  6 KB (996 words) - 18:14, 29 June 2023
• 1997 PMWC Problems
  ...uilateral triangle with sides of length three units. <math>U</math>, <math>V</math>, <math>W</math>, <math>X</math>, <math>Y</math>, and <math>Z</math> label("$V$",(-1/3,sqrt(3)/6),NW);
  15 KB (2,057 words) - 19:13, 10 March 2015
• 1951 AHSME Problems
  ...he area <math>(A)</math> of the sail and the square of the velocity <math>(V)</math> of the wind. The pressure on a square foot is <math>1</math> pound
  23 KB (3,641 words) - 22:23, 3 November 2023
• 2002 AMC 12B Problems/Problem 5
  ...s of a [[pentagon]]. Suppose that <math>v < w < x < y < z</math> and <math>v, w, x, y, </math> and <math>z</math> form an [[arithmetic sequence]]. Find ...ath> triangles) is <math>3 \cdot 180 = 540^{\circ}</math>. If we let <math>v = x - 2d, w = x - d, y = x + d, z = x+2d</math>, it follows that
  2 KB (263 words) - 05:58, 8 August 2023
• 2003 AMC 12B Problems/Problem 17
  ...that <cmath>2 \cdot \textbf{(2)} + \textbf{(1)} = 5u + 5v = 3 \implies u + v = \frac{3}{5} \implies c = \boxed{\textbf{(D)}~\frac{3}{5}}</cmath>.
  2 KB (329 words) - 13:49, 4 April 2024
• Isogonal conjugate
  ...nes. Let coordinates of images of points be <cmath>X(-a, 0), X'(a,u), Y(-b,v), Y'(b,w).</cmath> ...f a straight line <math>XY</math> is <math>\frac{x + a}{a - b} = \frac {y}{v}.</math>
  54 KB (9,416 words) - 08:40, 18 April 2024

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