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In the following figure, the regular octagon has a side with a length of 1. What is the area of the shaded region?

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(F)

(G)

(H)

(J)

(K)

The Correct Answer
Explanation

In ABC, the measures of A, B, and C are 2x°, 3x°, and 5x°, respectively. What is the measure of C?

(A)18° (B) 36° (C) 54° (D) 90° (E) 180°

Correct Answer: D

When f(a) = a2 + 2a + 5, what is the value of f(a + b)?

(A)a2 + b2 + 2ab + 5 (B) a2 + b2 + 2a + 2b + 10 (C) a2 + b2 + 2a + 2b + 5 (D) (a + b)2 + a + b + 5 (E) (a + b)2 + 2a + 2b + 5

Correct Answer: E

The kinetic energy, KE, of an object travelling at v velocity can be modeled by the equation KE = mv2, where m is the mass of the object. If an object is moving at a velocity of 9, and it has a kinetic energy of 120, about how great is the object's mass?

(A) Between 0 and 1(B) Between 1 and 2(C) Between 2 and 3(D) 6(E) 13

Correct Answer: C

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