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Without using a calculator, list the numbers square root of 2, cube root of 3, and fifth root of 5 in order from largest to smallest.

If angles A, B, and C are the sides of a triangle such that sin(A+B)=1/cosC and cos(A+B)=cosC, then show that the triangle is a right triangle.

Three men check into a room the cost $30 each paying $10. Later they are told by the bellboy that there was a mistake and that the room was actually only to cost $25, so $5 was retunrned to the men. Each of the men took a dollar and the remaining $2 was given to the...