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

*RST* is a right triangle with side lengths of *r*, *s*, and *t*, as shown below. What is the value of cos^{2} *S* + cos^{2} *R*?

(F) 1 (G) (H) (J) (K)

**Correct Answer: F**

What is the sum of the two values of *x* that satisfy the equation 4*x*^{2} – 3*x* – 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**

### More ACT Math Exam Questions

- 1
For all t > 0, f(t) = . Which of the following is true about f(t) ?

- 2Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly south for 4 miles. How many miles is Dave from his house?
- 3The expression (3x - 5)(x + 2) is equivalent to:
- 4
In cubic meters, what is the volume of a large cube whose edges each measure 6 meters in length?

- 5Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?