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The above shows a triangle \(ABC\) with base \(AB = 3\) and height \(CD = \sqrt3\). Point \(D\) lies on \(AB\) such that \(AD= BC\). Find the length of \(AC \).

A mathematician is walking home along the bank of a river at \(1.5\) times the speed of the current, which flows in the opposite direction to his line of ...

What is the last digit of \(\frac{100!}{10^{24}}\)?

If you shoot a billiard ball as shown in the diagram, which pocket will the ball end up in?

Assume the ball only lands in a pocket if the center ...

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