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  • == Problem == ==Solution 6 (NO ALGEBRA)==
    8 KB (1,248 words) - 11:43, 16 August 2022
  • == Problem == There are two separate parts to this problem: one is the color (gold vs silver), and the other is the orientation.
    5 KB (830 words) - 01:51, 1 March 2023
  • == Problem == ==Solution 6 (De Moivre's Theorem)==
    4 KB (686 words) - 12:52, 13 June 2024
  • == Problem == draw((5,8.66)--(16.87,6.928));
    4 KB (567 words) - 20:20, 3 March 2020
  • == Problem == ...ns, so from these cubes we gain a factor of <math>\left(\frac{2}{3}\right)^6</math>.
    4 KB (600 words) - 21:44, 20 November 2023
  • == Problem == ...d <math> n. </math> For example, <math> \tau (1)=1 </math> and <math> \tau(6) =4. </math> Define <math> S(n) </math> by <math> S(n)=\tau(1)+ \tau(2) + \
    4 KB (647 words) - 02:29, 4 May 2021
  • == Problem == ...>R</math> and <math>U</math> stay together, then there are <math>3 \cdot 2=6</math> ways.
    5 KB (897 words) - 00:21, 29 July 2022
  • == Problem == ...n from the second gives <cmath>20a=240-40x\rightarrow a=12-2x\rightarrow x=6-\frac a2</cmath>
    12 KB (2,000 words) - 13:17, 28 December 2020
  • == Problem == ...> Point <math> D </math> is on <math> \overline{BC} </math> with <math> CD=6. </math> Point <math> E </math> is on <math> \overline{BC} </math> such tha
    13 KB (2,129 words) - 18:56, 1 January 2024
  • == Problem == We approach the problem by [[recursion]]. We [[partition]] the positive integers into the sets
    9 KB (1,491 words) - 01:23, 26 December 2022
  • == Problem == real x = 20 - ((750)^.5)/3, CE = 8*(6^.5) - 4*(5^.5), CD = 8*(6^.5), h = 4*CE/CD;
    4 KB (729 words) - 01:00, 27 November 2022
  • == Problem == ...19}+ \frac3{19}+ \frac 1{17}+ \frac2{17}= \frac6{19} + \frac 3{17} = \frac{6\cdot17 + 3\cdot19}{17\cdot19} = \frac{159}{323}</math> and so the answer is
    2 KB (298 words) - 20:02, 4 July 2013
  • == Problem == ...left(\frac{\frac{4}{5}}{1-\frac{1}{25}}\right)= \frac{2}{3} \cdot \frac{5}{6} = \frac{5}{9},</cmath> and the answer is <math>m+n = 5 + 9 = \boxed{014}</
    2 KB (303 words) - 22:28, 11 September 2020
  • == Problem == ...th>r_{ABC} = \frac{[ABC]}{s_{ABC}} = \frac{15 \cdot 36 /2}{(15+36+39)/2} = 6</math>. Thus <math>r_{A'B'C'} = r_{ABC} - 1 = 5</math>, and since the ratio
    5 KB (836 words) - 07:53, 15 October 2023
  • == Problem == ...th> be a [[triangle]] with sides 3, 4, and 5, and <math> DEFG </math> be a 6-by-7 [[rectangle]]. A segment is drawn to divide triangle <math> ABC </math
    4 KB (618 words) - 20:01, 4 July 2013
  • == Problem == ...n + 1) + n = 3210 + 1111n</math>, for <math>n \in \lbrace0, 1, 2, 3, 4, 5, 6\rbrace</math>.
    2 KB (374 words) - 14:53, 27 December 2019
  • == Problem == The thing about this problem is, you have some "choices" that you can make freely when you get to a cert
    8 KB (1,437 words) - 21:53, 19 May 2023
  • == Problem == Alpha and Beta both took part in a two-day problem-solving competition. At the end of the second day, each had attempted quest
    3 KB (436 words) - 18:31, 9 January 2024
  • == Problem == ...\le i \neq j}^{15} S_iS_j\right)\\ (-8)^2 &= \frac{15(15+1)(2\cdot 15+1)}{6} + 2C\end{align*}</cmath>
    6 KB (941 words) - 11:37, 27 May 2024
  • == Problem == There are no regular 3-pointed, 4-pointed, or 6-pointed stars. All regular 5-pointed stars are similar, but there are two n
    4 KB (620 words) - 21:26, 5 June 2021

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