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Matt needs gallons of hydrochloric acid for an experiment. He has gallons already. How many more gallons of hydrochloric acid does Matt need?

(A)

(B)

(C)

(D)

(E)

The Correct Answer
Explanation

Emilia is going to bake cookies. She rolls out a square of dough that is 12 inches wide by 12 inches long and cuts 9 identical circular cookies from the dough, as shown in the figure below. Each circular cut-out is tangent to the circular cut-outs next to it and tangent to the edge or edges of the square piece of dough it touches. Approximately, what is the area, in square inches, of the remaining dough, as shown in the figure?

(A)30.9 (B) 42.3 (C) 50.24 (D) 87.5 (E) 113.04

Correct Answer: A

If x and y are integers such that y > 12 and 2x + y = 19, which of the following is the solution set for x?

(A)x ≥ 4 (B) x ≥ 3 (C) x ≤ 4 (D) x ≤ 3 (E) x ≤ 0

Correct Answer: D

RST is a right triangle with side lengths of r, s, and t, as shown below. What is the value of cos2 S + cos2 R?

(F) 1 (G) (H) (J) (K)

Correct Answer: F

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