Which of the following degree measures is equivalent to 2.25π radians?
(A) 101.25
(B) 202.5
(C) 405
(D) 810
(E) 1,620
Antoine bought a new electric guitar that cost $588.60 after 9% sales tax was added. What was the price of the guitar without tax?
(F) $536(G) $540(H) $542(J) $545(K) $548
Correct Answer: G
Two hoses attached to separate water sources are available to fill a cylindrical swimming pool. If both hoses are used, the time it will take to fill the pool can be represented by the following equation: , where T1 and T2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and Tc represents the time needed for hoses 1 and 2 to fill the pool working together. If hose 1 alone can fill the pool in exactly 20 minutes and hose 2 alone can fill the pool in exactly 60 minutes, how many minutes will it take to fill the pool if both hoses work simultaneously?
(A) 3 (B) 10 (C) 15 (D) 18 (E) 40
Correct Answer: C
In the standard (x, y) coordinate plane, the center of a circle lies in quadrant III. If the circle is tangent to the x-axis and the y-axis, which of the following is an equation for the circle?
(A)(x + 4)2 + (y + 4)2 = 4 (B) (x - 4)2 + (y - 4)2 = 4 (C) x2 + (y - 4)2 = 16 (D) (x + 4)2 + (y + 4)2 = 16 (E) (x + 4)2 + (y - 4)2 = 16
Correct Answer: D
More ACT Math Exam Questions
- 1On his first day working out, Anthony did 30 push-ups. On each successive day, he did exactly 3 more push-ups than on the previous day. After completing his push-ups on the 30th day, how many push-ups had he completed on all 30 days?
- 2
The volume of a right circular cone with the bottom removed to create a flat base can be calculated from the following equation: V = πh(R2 + r2 + Rr), where h represents the height of the shape and R and r represent its radii as shown in the figure below:
This formula can be used to determine the capacity of a large coffee mug. Approximately how many cubic inches of liquid can the cup shown below hold if it is filled to the brim and its handle holds no liquid?
- 3If the lengths of the sides of the triangle below are shown in inches, how many inches long is side ?
- 4
What is the slope of a line on a standard xy-plane that passes through the point (1, 3) and (4, –3)?
- 5
A rectangular rug has an area of 80 square feet, and its width is exactly 2 feet shorter than its length. What is the length, in feet, of the rug?