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
The figure below shows a ramp for skateboarders. The base of the ramp is 25 feet long, and it rises at a 10° angle.
Given the trigonometric calculations in the table below, how high off the ground will a skateboarder be at the top of the ramp, rounded to the nearest 0.1 foot?
(F) 2.3 (G) 2.5 (H) 4.3 (J) 4.4 (K) 24.6
Correct Answer: J
An isosceles triangle contains three angles that measure 40°, x°, and y°. Which of the following CANNOT be true?
(A) x= y(B) x= 50(C) x– y= 60(D) x= 70(E) x= 100
Correct Answer: B
A certain watch costs $100, and a certain pearl necklace costs $300. If the cost of the watch increases by 5% and the cost of the pearl necklace decreases by 10%, what will be the sum of their new costs?
(A)$375 (B) $385 (C) $395 (D) $405 (E) $415
Correct Answer: A
More ACT Math Exam Questions
- 1
A sphere is inscribed in a cube with a diagonal of 3 ft. In feet, what is the diameter of the sphere?
- 2
When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?
- 3When w + w = 1, what is the value of w?
- 4The stem-and-leaf plot below shows the scores for each golfer in a
recent tournament at the Lehigh Valley Golf Club. There were 13 golfers
participating in the tournament.
(Note: For example, a score of 72 would have a stem value of 7 and a leaf value of 2.) If a score represented in the stem-and-leaf plot is selected randomly, what is the probability that the score selected is exactly 83?
- 5
In the figure below, ∠ ABC ≅ ∠ DFE, ∠ BAC ≅ ∠ FDE, D and F are on AB, AD ≅ FB, and distances in centimeters are as shown. What is the length of AD, in centimeters?