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The figure below shows a portion of a tile floor from which the shaded polygon will be cut in order to make a repair. Each square tile has sides that measure 1 foot. Every vertex of the shaded polygon is at the intersection of 2 tiles. What is the area, in square feet, of the shaded polygon?

(A) 9.5

(B) 10

(C) 10.5

(D) 11

(E) 11.5

If g(x) is a transformation that moves f(x) three units to the right and then reflects it across the x-axis, then g(x) =

(A) f(–x) + 3(B) f(–x) – 3(C) f(x) + 3(D) –f(x+ 3)(E) –f(x– 3)

Correct Answer: E

The day a clothing store puts out a batch of brand-name T-shirts it sells 95 shirts at $4.10 per shirt. However, each day the shirts are on the rack, the store reduces the price of the shirts by $0.02 and consequently sells 1 additional shirt with each price reduction. If x represents the number of $0.02 price reductions, which of the following expressions represents the amount of money, in dollars, that the store will take in daily in sales of these brand name T-shirts?

(A) (4.10 + 2x)(95 + x) (B) (4.10 - 2x)(95 + x) (C) (4.10 + 0.02x)(95 + x) (D) (4.10 - 0.02x)(95 + x) (E) (4.10-- 0.02x)(95 + 0.02x)

Correct Answer: D

A rock band, The Young Sohcahtoans, is trying to design a t-shirt logo. The measurements they have chosen are represented on the figure below. The angle to the right of the logo "TYS" has a degree measure of 35°, and the side of the figure has a measure of 10 in. Which of the following expressions gives the measure, in inches, of the diagonal top side of the figure?

(A) 10 tan 35° (B) 10 cos 35° (C) 10 sin 35° (D) (E)

Correct Answer: D