Which of the following is equivalent to ?
(A) 1
(B) sin n
(C) cos n
(D) cot n
(E) csc n
In the following figure, the area of the shaded region is 20% of the area of the whole circle centered at P.The angle shown measures ddegrees. What is its measurement in radians?
(A) (B) (C) (D) (E)
Correct Answer: B
The following figure shows a cylindrical tank whose diameter is 3 times the length of its height. The tank holds approximately 231.5 cubic meters of fluid. Which of the following answer choices most closely approximates the height of the tank?
(F) 2 meters(G) 3 meters(H) 4 meters(J) 5 meters(K) 6 meters
Correct Answer: G
If a(x) = b(x) + c(x), where b(x) = 3x2 - 8x + 113 and c(x) = - 3x2 + 18x + 7 and x is an integer, then a(x) is always divisible by which of the following?
(A) 6 (B) 7 (C) 10 (D) 12 (E) 15
Correct Answer: C
More ACT Math Exam Questions
- 1
In isosceles triangle ABC below, the measures of BAC and BCA are equal and . The diagonals of trapezoid DECA intersect at F. The lengths of and are 6 centimeters, the length of is 9 centimeters, and the length of is 27 centimeters. What is the length, in centimeters, of ?
- 2
A thin slice is cut from a bagel, creating the cross-section represented below. The diameter of the bagel is 144 mm and the width from the inner edge of the bagel to the outer edge is uniformly 56 mm. Which of the following is closest to the area, in square millimeters, of the shaded empty space inside the cross-section of the bagel?
- 3
In ΔXYZ, Y is a right angle and Z measures less than 52°. Which of the following phrases best describes the measure of X?
- 4
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?
- 5Compared to the graph of y = sin x, the graph of y = 2 sin(4x) has: