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• 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
• 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 (2,980 words) - 18:17, 2 January 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
• 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

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