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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)

The Correct Answer
Explanation

The town of Ashville has three bus stations (A, B, and C) that offer round-trip fares to its business district at both peak and off-peak rates. The matrices below show the average weekly sales for each station at each rate and the costs for both rates. In an average week, what are the combined peak and off-peak sales for Ashville's three bus stations?

(A)$780 (B) $1,590 (C) $1,950 (D) $2,090 (E) $2,340

Correct Answer: D

A 16-piece orchestra wants to choose one of its members to speak at performances. They decide that this member CANNOT be one of the 4 soloists in the group. What is the probability that Itzhak, who is NOT a soloist, will be chosen as the speaker?

(A) 0(B) (C) (D) (E)

Correct Answer: C

What is the smallest positive integer that is divisible by 3, divisible by 5, and divisible by 6 (with no remainders)?

(A)15 (B) 30 (C) 60 (D) 90 (E) 180

Correct Answer: B

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