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  • \qquad \mathrm{(B) \ } 8/\sqrt{15} ([[Mock AIME 4 2006-2007 Problems/Problem 15|Source]])
    4 KB (658 words) - 16:19, 28 April 2024
  • pair A=(15,15),B=(30,15),C=(30,30),D=(15,30),a=(60,60),b=(120,60),c=(120,120),d=(60,120); ...triangle <math>ABC</math> are <math>13,</math> <math>14,</math> and <math>15,</math> the radius of <math>\omega</math> can be represented in the form <m
    3 KB (532 words) - 01:11, 11 January 2021
  • ...aring above it. For example, <math>{5 \choose 1}+{5 \choose 2} = 5 + 10 = 15 = {6 \choose 2}</math>. This property allows the easy creation of the firs
    5 KB (838 words) - 17:20, 3 January 2023
  • * [[2006 AMC 10B Problems/Problem 15]]
    2 KB (182 words) - 21:57, 23 January 2021
  • Top non-senior USAMO finishers: In addition to the winners, the next 15 or so non-senior non-Canadian finishers are invited to attend MOP. This gro ...ree instructional sessions: 8:30 AM - 10:00 AM, 10:15 AM - 11:45 AM, and 1:15 PM - 2:45 PM. Classes usually consist of a lecture followed by a problem se
    6 KB (936 words) - 10:37, 27 November 2023
  • * [[2005 AIME I Problems/Problem 15|2005 AIME I Problem 15]]
    5 KB (827 words) - 17:52, 12 June 2024
  • * [[2004 AIME I Problems/Problem 15]]
    1 KB (135 words) - 18:15, 19 April 2021
  • * [[2004 AIME II Problems/Problem 15]]
    1 KB (135 words) - 12:24, 22 March 2011
  • * [[2005 AIME I Problems/Problem 15 | Problem 15]]
    1 KB (154 words) - 12:30, 22 March 2011
  • * [[2006 AIME I Problems/Problem 15]]
    1 KB (135 words) - 12:31, 22 March 2011
  • * [[2005 AIME II Problems/Problem 15]]
    1 KB (135 words) - 12:30, 22 March 2011
  • * [[2006 AMC 12B Problems/Problem 15 | Problem 15]]
    2 KB (210 words) - 00:06, 7 October 2014
  • * [[2006_AMC_10B_Problems/Problem_15 | 2006 AMC 10B Problem 15]]
    3 KB (490 words) - 15:30, 22 February 2024
  • [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=9574 11-15]
    51 KB (6,175 words) - 20:58, 6 December 2023
  • <math>x^2 - 2x - 15 \equiv 0 \pmod{21}</math>. However, since <math>15 \equiv 99 \pmod{21}</math>, the original congruence is equivalent to
    14 KB (2,317 words) - 19:01, 29 October 2021
  • * [[2006 AMC 10A Problems/Problem 15]]
    2 KB (180 words) - 18:06, 6 October 2014
  • The number <math> \sqrt{104\sqrt{6}+468\sqrt{10}+144\sqrt{15}+2006}</math> can be written as <math> a\sqrt{2}+b\sqrt{3}+c\sqrt{5}, </mat == Problem 15 ==
    7 KB (1,173 words) - 03:31, 4 January 2023
  • {{AIME box|year=2006|n=I|num-b=13|num-a=15}}
    6 KB (980 words) - 21:45, 31 March 2020
  • ...>k=6</math>, then <math>n<1000</math> implies that <math>\frac{n+1}{64}\le 15</math>, so <math>n+1=64,64\cdot 3^2</math>.
    10 KB (1,702 words) - 00:45, 16 November 2023
  • The number <math> \sqrt{104\sqrt{6}+468\sqrt{10}+144\sqrt{15}+2006}</math> can be written as <math> a\sqrt{2}+b\sqrt{3}+c\sqrt{5}, </mat ...h> a\sqrt{2}+b\sqrt{3}+c\sqrt{5} = \sqrt{104\sqrt{6}+468\sqrt{10}+144\sqrt{15}+2006}</cmath>
    3 KB (439 words) - 18:24, 10 March 2015

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