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Which of the following expressions gives the area, in square feet, of ABC shown below with the given side lengths in feet?

(A)50 tan 35°

(B) 50 cos 35°

(C) 50 sin 35°

(D) 100 cos 35°

(E) 100 sin 35°

The Correct Answer
Explanation

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Let the operation # be defined for the set of real numbers by: image Which of the following statements are true for all real numbers x, y, and z? I. x # y = y # x II. (x # y) # z = x # (y # z) III. 0 # x = 0

(A)I only (B) II only (C) III only (D) I and III only (E) II and III only

Correct Answer: A

On a level field, a telephone pole 24 feet tall casts a shadow 6 feet long, and at the same time of day, another nearby telephone pole casts a shadow 18 feet long. How many feet tall is the second telephone pole?

(A) 6(B) 12(C) 24(D) 36(E) 72

Correct Answer: E

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