If the lengths of the sides of the triangle below are shown in inches, how many inches long is side ?
(A)2
(B) 10
(C) 4
(D) 26
(E) 42
Two hoses attached to separate water sources are available to fill a cylindrical swimming pool. If both hoses are used, the time it will take to fill the pool can be represented by the following equation: , where T1 and T2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and Tc represents the time needed for hoses 1 and 2 to fill the pool working together. If hose 1 alone can fill the pool in exactly 20 minutes and hose 2 alone can fill the pool in exactly 60 minutes, how many minutes will it take to fill the pool if both hoses work simultaneously?
(A) 3 (B) 10 (C) 15 (D) 18 (E) 40
Correct Answer: C
Six equilateral triangles form the figure below. If the perimeter of each individual triangle is 15 inches, what is the perimeter of ABCDEF, in inches?
(A)18 (B) 30 (C) 60 (D) 54 (E) 90
Correct Answer: B
Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.
To determine how much trim to buy for the sail, Greg calculated the sail's perimeter. What is the sail's perimeter, in feet?
(A) 275 (B) 300 (C) 290 (D) 220 (E) 170
Correct Answer: B
More ACT Math Exam Questions
- 1
What is the slope of the line given by the equation 8 = 3y - 5x?
- 2The variable cost to produce a box of paper is $4.75. The fixed cost for the paper production machinery is $1,600.00 each day. Which of the following expressions correctly models the cost of producing b boxes of paper each day?
- 3If 3x + 2y = 5, what is the value of the expression 6x + 4y - 7?
- 4The width of a rectangular cardboard box is half its length and twice its height. If the box is 12 cm long, what is the volume of the box in cubic centimeters?
- 5
Jasper wants to measure the altitude of his kite. He ties the kite string to a spike driven into the ground and measures the angle between the string and the ground. Then, he creates 2 similar triangles by adjusting the distance between an 8 foot pole and the spike until the angle created by a piece of string tied to the top of the pole and to the spike with the ground is the same as the angle he measured previously. The length of the string to the kite is 85 feet and the length of the string to the pole is 17 feet. Which of the following is closest to the height, in feet, that the kite is above the ground?