A trapezoidal driveway has the dimensions, in yards, given in the figure below. What is the area, in square yards, of the driveway?
(A) 42
(B) 72
(C) 102
(D) 156
(E) 204
If 2x– y= 32 and 5x+ 3y= 14, then xy=
(A) 35(B) –40(C) 75(D) 100(E) –120
Correct Answer: E
What is the formula of a line that is perpendicular to and includes the point (3, 4)?
(A) (B) (C) y= 3x+ 5(D) y= –3x+ 5(E) y= –3x+ 13
Correct Answer: E
At 3 p.m., the afternoon sun shines over a building and its rays hit the ground at a 34° angle. The building is 100 meters tall and is perpendicular to the ground. How long, to the nearest meter, is the building's shadow that is cast by the sun? (Note: sin 34° ≈ 0.56, cos 34° ≈ 0.83, tan 34° ≈ 0.67)
(A)56 (B) 67 (C) 83 (D) 120 (E) 148
Correct Answer: E
More ACT Math Exam Questions
- 1
The endpoints of the diameter of a circle O are A and C. In the standard (x,y) coordinate plane, A is at (4,3) and C is at (-9,-2). What is the y-coordinate of the center of the circle?
- 2
A scientist performs an experiment in which she measures four values two times each, with the following results:
- 3
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?
- 4
In the following figure, the circle centered at nhas a radius of 4. What is the area of the shaded region?
- 5Train A averages 16 miles per hour, and Train B averages 24 miles per hour. At these rates, how many more hours does it take Train A than Train B to go 1,152 miles?