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
What values of x are solutions in the equation x2 + 4x = 12?
(A)8 and 12 (B) 0 and 4 (C) -2 and 6 (D) -4 and 0 (E) -6 and 2
Correct Answer: E
In a certain school district, exactly 30% of the students come from families that have only one child. If there are 7,340 students in the district, how many do NOT come from families with only one child?
(A)220 (B) 514 (C) 2,202 (D) 5,138 (E) 7,120
Correct Answer: D
In the figure below, square ABCD has a side length of 6 inches, and squares AEFG and CHIJ each have a side length of 1 inch. What is the area, in square inches, of the shaded pentagon DGFIJ?
(A)9 (B) 12.5 (C) 17 (D) 18 (E) 20.5
Correct Answer: C
More ACT Math Exam Questions
- 1
If , then n =
- 2
When adding fractions, a useful first step is to find the least common denominator (LCD) of the fractions. What is the LCD for these fractions?
- 3ACT Test Dates 2020 for the US
- 4In the figure below, line m is parallel to line n. One angle formed with transversal line T measures 60°, as shown. What is the degree measure of a?
- 5
Given parallel lines l and m, which of the following choices lists a pair of angles that must be congruent?