When calculating a certain tax, Simone found that no tax is due for all income up to pdollars, with p > 0. Income greater than pdollars is taxed at a rate of 15%. Which of the following graphs accurately represents this tax?
(A)
(B)
(C)
(D)
(E)
Hannah is 5 years younger than Nora, who is x years old. Which of the following is an expression for Hannah's age in 2 years?
(F) x - 3 (G) x + 3 (H) x + 7 (J) 2x - 3 (K) 3
Correct Answer: F
The length of the hypotenuse of the right triangle figured below is 16, and the length of one of its legs is 12. What is the cosine of angle θ?
(A) (B) (C) (D) (E)
Correct Answer: A
The cross-sectional view of a tent is shown below. If the tent is 6 feet wide at its base, then which of the following expressions could be used to calculate the height of the tent, in feet?
(F) (G) 3 tan 40° (H) (J) 6 tan 40° (K) 3 tan 80°
Correct Answer: H
More ACT Math Exam Questions
- 1
Which of the following numbers is an imaginary number?
- 2In the figure below, a cone is shown, with dimensions given in
centimeters. What is the total surface area of this cone, in square
centimeters? (Note: The total surface area of a cone is given by the
expression πr2 + πrs, where r is the radius and s is the slant height.)
- 3
The coordinates of the vertices of MON are shown in the standard (x,y) coordinate plane below. Rectangle MPQR is shown shaded. Point P lies on , point Q lies on , and point R lies on .
Which of the following is closest to the perimeter, in coordinate units, of MON?
- 4
A model for the number of questions on an assignment, when the assignment is worth p points, is q = . According to this model, what is the number of questions, q, for an assignment worth 80 points?
- 5If x = 3T + 4 and y = 5 - T, then which of the following equations expresses y in terms of x?