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If the lengths of the sides of the triangle below are shown in inches, how many inches long is side image? image

(A)2 image

(B) 10

(C) 4image

(D) 26

(E) 42

The Correct Answer

Two hoses attached to separate water sources are available to fill a cylindrical swimming pool. If both hoses are used, the time it will take to fill the pool can be represented by the following equation: , where T1 and T2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and Tc represents the time needed for hoses 1 and 2 to fill the pool working together. If hose 1 alone can fill the pool in exactly 20 minutes and hose 2 alone can fill the pool in exactly 60 minutes, how many minutes will it take to fill the pool if both hoses work simultaneously?

(A) 3 (B) 10 (C) 15 (D) 18 (E) 40

Correct Answer: C

Six equilateral triangles form the figure below. If the perimeter of each individual triangle is 15 inches, what is the perimeter of ABCDEF, in inches?

(A)18 (B) 30 (C) 60 (D) 54 (E) 90

Correct Answer: B

Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.

 

To determine how much trim to buy for the sail, Greg calculated the sail's perimeter. What is the sail's perimeter, in feet?

(A) 275 (B) 300 (C) 290 (D) 220 (E) 170

Correct Answer: B

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