In the figure below, all line segments intersect at right angles, and all measurements are given in inches. What is the perimeter of the figure in inches?
(A)23
(B) 28
(C) 46
(D) 130
(E) Cannot be determined
If cot θ = P, which of the following expressions must also equal P?
(A)tan θ (B) csc θ - 1 (C) sin θ - cos θ (D) (E)
Correct Answer: E
A sphere is inscribed in a cube with a diagonal of 3 ft. In feet, what is the diameter of the sphere?
(F) 3 (G) 2 (H) 2 (J) 3 (K) 3
Correct Answer: J
The employees at Belinda's Paint Store are having a competition to see who can create the most new accounts over a period from January to June in a certain year. Data is missing because one of the employees began to erase it from the white board, thinking that the competition was over. The numbers in the chart below have been confirmed with the assistant manager's personal records.
At the beginning of the year, Maura wanted to average 30 new accounts per month for the first four months of the year. How many new accounts did she need to create in March in order to reach this goal?
(A) 25 (B) 27 (C) 29 (D) 31 (E) 37
Correct Answer: E
More ACT Math Exam Questions
- 1
Jacob works as a lifeguard at a local pool. At the beginning of a 12-hour overnight shift, the pool was full, and Jacob began draining it. After 2 hours, the pool was completely empty. He spent 3 hours cleaning the pool and then began filling it up again. The pool finished filling just as his shift ended. Which of the following graphs accurately describes the amount of water in the pool throughout Jacob’s shift?
- 2For real numbers x and y, when is the equation |2x + 3y| = |2x - 3y| true?
- 3The volume of a cone is given by the formula V = R2h, where R is the radius of the base of the cone and h is the height of the cone. What is the volume, in cubic centimeters, of a cone with a height of 8 cm that has a base with a radius of 3 cm?
- 4
The expression 9(y + 3) - 2(4y - 4) is equivalent to:
- 5Antoine bought a new electric guitar that cost $588.60 after 9% sales tax was added. What was the price of the guitar without tax?