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°
Which of the following expressions must be an even integer if x is an integer?
(F) x + 5 (G) (H) x4 (J) 4x (K) 5x
Correct Answer: J
If the height of an equilateral triangle is 9, what is its area?
(F) 27(G) 54(H) 81(J) (K)
Correct Answer: J
What is the value of a if log4a = 3?
(A) 120 (B) 64 (C) 12 (D) (E) 4
Correct Answer: B
More ACT Math Exam Questions
- 1
If , then a=
- 2
For all nonzero y and z, =?
- 3
The employees of two factories, X and Y, are comparing their respective production records. Factory X has already produced 18,000 units and can produce 120 units per day. Factory Y has produced only 14,500 units but can produce 155 units per day. If d represents the number of days (that is, days during which each factory is producing its maximum number of units), which of the following equations could be solved to determine the number of days until X's total production equals Y's total production?
- 4A square and a regular pentagon (a 5-sided polygon with congruent sides and interior angles) have the same perimeter. One side of the pentagon measures 20 inches. How many inches long is one side of the square?
- 5The 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?