Home->ACT Math

The line with equation 5y - 4x = 20 does NOT lie in which quadrant(s) of the standard (x, y) coordinate plane below?

(A) Quadrant I only

(B) Quadrant II only

(C) Quadrant III only

(D) Quadrant IV only

(E) Quadrants I and III only

A carpet company uses the following formula for estimating the number of square feet, a, of carpeting needed for a room x feet by y feet, containing a stairway w feet by z feet, with n stairs: a = xy + w[z(2n - 1) + 2n] What is the company's estimate for the number of square feet of carpeting needed for a room that is 15 feet by 18 feet, containing a stairway that is 6 feet by 6 feet with 8 stairs?

（A）826 （B） 894 （C） 906 （D） 1,086 （E） 1,636

Correct Answer: C

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°

Correct Answer: C

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

Correct Answer: D