# RektTheNoob

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RektTheNoob  Jan 16, 2018
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### We have a triangle $\triangle ABC$ such that $AB = BC = 5$ and $AC = 4.$ If $AD$ is an angle bisector such that $D$ is on $BC,$ then find th

RektTheNoob  Jan 13, 2018
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### Determine the number of positive integers $a$ less than $12$ such that the congruence $ax\equiv 1\pmod{12}$ has a solution in $x$.

RektTheNoob  Jan 13, 2018
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### How many of the 343 smallest positive integers written in base 7 use 4 or 5 (or both) as a digit?

RektTheNoob  Jan 10, 2018
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### Suppose that $a$ varies inversely with $b^2$. If $a=9$ when $b=2$, find the value of $a$ when $b=3$.

RektTheNoob  Dec 17, 2017
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### How many ways are there to put 4 balls in 3 boxes if the balls are distinguishable but the boxes are not?

RektTheNoob  Dec 17, 2017
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### If $x$, $y$, and $z$ are positive real numbers satisfying:

RektTheNoob  Dec 16, 2017
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### How many ways are there to put 4 balls in 3 boxes if two balls are indistinguishably green, two are indistinguishably red, and the boxes are

RektTheNoob  Dec 16, 2017
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### In SHORT BINGO, a $5\times5$ card is filled by marking the middle square as WILD and placing 24 other numbers in the remaining 24 squares.

RektTheNoob  Dec 9, 2017
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### A cone is created by rotating an isosceles right triangle with leg length 2 about one of its legs. Its surface area is $\pi$ times what numb

RektTheNoob  Dec 5, 2017
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### Mary has $6$ identical basil plants, and three different window sills she can put them on. How many ways are there for Mary to put the plant

RektTheNoob  Dec 5, 2017
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### We have a triangle $\triangle ABC$ and a point $K$ on $BC$ such that $AK$ is an altitude to $\triangle ABC$. If $AC = 10,$ $BK = 7$, and $BC RektTheNoob Dec 5, 2017 0 71 1 +241 RektTheNoob Dec 5, 2017 +1 96 1 +241 ### What is the diameter of the circle inscribed in triangle$ABC$if$AB = 11, AC=6, BC=7\$? Express your answer in simplest radical form.

RektTheNoob  Nov 28, 2017
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### What is the slope of the line that is tangent to a circle at point (5,5) if the center of the circle is (3,2)? Express your answer as a comm

RektTheNoob  Nov 28, 2017
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### Ben throws four identical darts. Each hits one of four identical dartboards on the wall. After throwing the four darts, he lists the number

RektTheNoob  Nov 28, 2017
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### How many ways are there to put 4 balls in 3 boxes if the balls are not distinguishable but the boxes are?

RektTheNoob  Nov 27, 2017
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### The Lakers are playing the Celtics in the NBA finals. To win the NBA finals, a team must win 4 games before the other team does. If the Celt

RektTheNoob  Oct 13, 2017