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Danielle's living room is a rectangle with the dimensions 16 feet by 18 feet. If she partially covers the bare floor with a circular throw rug with a diameter of 12 feet, what is the approximate area of bare floor, in square feet, that remains exposed?

(Note: Assume the rug lies completely flat and does not touch any wall.)



(F) 113

(G) 144

(H) 175

(J) 288

(K) Cannot be determined without knowing the exact position of the rug

The Correct Answer
Explanation

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

What is the sum of the two values of x that satisfy the equation 4x2 – 3x – 1 = 0?

(A) 0.75(B) 1.25(C) 2.5(D) –0.75(E) –1.25

Correct Answer: A

The graph of y = f(x) is shown in the standard (x,y) coordinate plane below with points V, W, X, Y, and Z labeled.

 

The y-intercept of the graph of y = f(x) is located at which of the following points?

(A) V (B) W (C) X (D) Y (E) Z

Correct Answer: E

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