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  • == 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
  • == Problem 1 == [[2004 AIME I Problems/Problem 1|Solution]]
    9 KB (1,434 words) - 13:34, 29 December 2021
  • == Problem == Now, consider the strip of length <math>1024</math>. The problem asks for <math>s_{941, 10}</math>. We can derive some useful recurrences f
    6 KB (899 words) - 20:58, 12 May 2022
  • == Problem == ...n't need to be nearly as rigorous). A more natural manner of attacking the problem is to think of the process in reverse, namely seeing that <math>n \equiv 1
    11 KB (1,857 words) - 21:55, 19 June 2023
  • == Problem == ...CD </math> be an [[isosceles trapezoid]], whose dimensions are <math> AB = 6, BC=5=DA, </math>and <math> CD=4. </math> Draw [[circle]]s of [[radius]] 3
    3 KB (431 words) - 23:21, 4 July 2013
  • == Problem == ...}</math>. For example, with the binary string 0001001000 <math>y</math> is 6 and <math>x</math> is 3 (note that it is zero indexed).
    8 KB (1,283 words) - 19:19, 8 May 2024
  • == Problem == ...ays and likewise we can partition the 167 in three ways. So we have <math>6\cdot 3\cdot 3 = \boxed{54}</math> as our answer.
    2 KB (353 words) - 18:08, 25 November 2023
  • == Problem == It is clear from the problem setup that <math>0<\theta<\frac\pi2</math>, so the correct value is <math>\
    9 KB (1,501 words) - 05:34, 30 October 2023
  • == Problem == ...al. Also note some other conditions we have picked up in the course of the problem, namely that <math>b_1</math> is divisible by <math>8</math>, <math>b_2</ma
    6 KB (950 words) - 14:18, 15 January 2024
  • ==Problem== From the initial problem statement, we have <math>1000w\cdot\frac{1}{4}t=\frac{1}{4}</math>.
    4 KB (592 words) - 19:02, 26 September 2020
  • == Problem 1 == [[2004 AIME II Problems/Problem 1|Solution]]
    9 KB (1,410 words) - 05:05, 20 February 2019

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