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• 2018 AIME I Problems/Problem 7
  ...the prism is symmetrical) to all the other 11 vertices. Using Pythagorean relations, we find that the distances are <math>1</math>, <math>\sqrt{3}</math>, <mat
  6 KB (1,023 words) - 10:38, 21 November 2023
• 2019 AMC 12A Problems/Problem 25
  ...</math>, we have <math>x_n=180^\circ-2x_{n-1}</math> (identical recurrence relations can be derived for <math>y_n</math> and <math>z_n</math>). To find an expli
  5 KB (933 words) - 22:23, 2 January 2024
• 2004 IMO Problems
  ...a,b,c</math> such that <math>ab + bc + ca = 0</math> we have the following relations
  3 KB (488 words) - 04:36, 21 February 2021
• 1995 IMO Problems/Problem 4
  ...eal numbers <math>x_0, x_1, x_2,.....x_{1994}, x_{1995}</math> satisfy the relations
  2 KB (389 words) - 03:43, 26 November 2023
• What is the definition of Pure Mathematics?
  ...definition of geometry is ''Geometry is concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs''. Or th
  35 KB (5,882 words) - 18:08, 28 June 2021
• Classical Mechanics
  ...y of (relative) motion - displacement, velocity, acceleration etc. The two relations at the heart of kinematics are:
  3 KB (423 words) - 12:58, 8 July 2019
• 1979 IMO Problems
  ...exists positive reals <math>x_{1}, \ldots, x_{5}</math> which satisfy the relations <math> \sum_{k=1}^{5} kx_{k}=a,</math> <math> \sum_{k=1}^{5} k^{3}x_{k}=a^{
  3 KB (448 words) - 11:07, 14 June 2024
• 1972 AHSME Problems/Problem 25
  ...h>\overline{BD}=x</math> and <math>\angle{DAB}=y</math>. By LoC we get the relations
  1 KB (237 words) - 10:14, 29 January 2021
• 1975 AHSME Problems/Problem 25
  A woman, her brother, her son and her daughter are chess players (all relations by birth). The worst player's twin (who is one of the four players) and the
  2 KB (458 words) - 14:42, 17 August 2021
• 1979 IMO Problems/Problem 5
  ...sts non-negative reals <math>x_{1}, \ldots, x_{5}</math> which satisfy the relations <math> \sum_{k=1}^{5} kx_{k}=a,</math> <math> \sum_{k=1}^{5} k^{3}x_{k}=a^{
  2 KB (391 words) - 10:55, 30 September 2022
• 1991 IMO Problems/Problem 3
  ...s) remove <math> S_{p,q}</math> and so on, and these have similar ordering relations.
  6 KB (911 words) - 17:45, 30 January 2021
• 2021 Fall AMC 12A Problems/Problem 13
  ...> to simplify. By <math>45</math>-<math>45</math>-<math>90</math> triangle relations (or distance formula), <math>AD = 2b\sqrt{2}.</math>
  16 KB (2,526 words) - 00:53, 6 May 2023
• User:Cairiss
  Blogs for business help build brand relations to existing and new customers. They create a flow of infinite value which b
  4 KB (597 words) - 03:39, 8 March 2024
• 2022 AMC 12B Problems/Problem 25
  ...\sqrt{2}}{2},</math> and <math>x</math>. By <math>30-60-90</math> triangle relations, the largest altitude of the orange triangle is <math>\frac{x\sqrt{6}}{2}.< ...dot \sqrt{3} =\frac{\sqrt{3}}{2}</math>, by <math>30-60-90</math> triangle relations. The height of the hexagon is twice this value, or <math>\sqrt{3}.</math>
  20 KB (2,997 words) - 20:47, 28 June 2024
• 2023 AMC 12B Problems
  ...> and <math>d</math> are positive integers satisfying all of the following relations.
  13 KB (2,107 words) - 16:08, 16 June 2024
• User:Harryson3545
  Haun Ventures Bolsters Investor Relations with Private-Equity Expert Suzanne Kim. ...ent of Suzanne Kim, a seasoned private-equity veteran, to oversee investor relations. With over 15 years of experience in private equity, including roles at pre
  2 KB (235 words) - 15:29, 5 September 2023
• 2023 AMC 10B Problems/Problem 20
  ...>4</math>, giving us through <math>45^{\circ}-45^{\circ}-90^{\circ}</math> relations and Pythagorean theorem a diameter for each semi-circle of <math>2\sqrt{2}<
  5 KB (829 words) - 11:53, 29 February 2024
• 2023 AMC 12B Problems/Problem 24
  ...> and <math>d</math> are positive integers satisfying all of the following relations.
  3 KB (499 words) - 02:57, 20 November 2023
• User:Onerther
  ...rom search engines. It can result in increased sales, and may also improve relations with clients.
  3 KB (586 words) - 02:21, 6 March 2024

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