Melissa attaches her dog's leash to a metal anchor in the grass so that the dog can roam only within a radius of 12 feet in any direction from the anchor. A map of the area accessible to the dog is shown below in the standard (x,y) coordinate plane, with the anchor at the origin and 1 coordinate unit representing 1 foot.
Joy
brings her dog to the same park and anchors her dog 30 feet away from
Melissa's anchor along a walking trail. Joy's dog can roam only within a
radius of 20 feet in all directions from its anchor. For how many feet
along the walking trail can both dogs roam?
(Note: Assume the leashes can't stretch.)
(A)2
(B) 8
(C) 10
(D) 18
(E) 42
If the least common multiple of 9, 10, 12, and vis 540, which of the following could be v?
(A) 18(B) 24(C) 27(D) 36(E) 45
Correct Answer: C
What is the slope of the line in the following graph?
(F) 2(G) –2(H) 
(J) 
(K) 
Correct Answer: G
To this questions below, use the following graph, which provides information about the number of new clients five salespeople registered last month.
What percentage of the new clients did Yolanda register?
(F) 18%(G) 20%(H) 22%(J) 24%(K) 25%
Correct Answer: G
More ACT Math Exam Questions
- 1
In the following figure, what is the value of xin terms of y?
- 2Given that m and n are parallel lines, T is a transversal crossing both m and n, and m
b = 100°, what is the measure of e?
- 3(4x4 y4)4 is equivalent to:
- 4
How many 4-letter orderings, where no letters are repeated, can be made using the letters of the word BADGERS?
- 5
Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.
The angle opposite the 120-foot side measures about 65.2°. Greg would like to make a second sail. This one will still be a right triangle with a 50-foot side as one leg, but the 120-foot side will be shortened until the angle opposite that side is about 10°. By about how many feet will Greg need to shorten the 120-foot side?
(Note: sin 10° ≈ .17, cos 10° ≈ .98, tan 10° ≈ .18)