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.
Which of the following is an equation of the circle shown on the map?
(A)(x - y)2 = 12
(B) (x + y)2 = 12
(C) (x + y)2 = 122
(D) x2 + y2 = 12
(E) x2 + y2 = 122
(3a + 2b)(a - b2) is equivalent to
(F) 4a + b2 (G) 3a2 - 2b3 (H) 3a2 + 2ab + 2b3 (J) 3a2 - 3ab2 + a2 b2 (K) 3a2 - 3ab2 + 2ab - 2b3
Correct Answer: K
In septagon ABCDEFG shown below, 
a = 115° and g = 70°. What is the sum of the measures of the other 5 interior angles?
（A）585° （B） 595° （C） 655° （D） 690° （E） 715°
Correct Answer: E
The Northampton Volunteer Association has built a rectangular sandbox for a local elementary school and is ready to fill it with sand. The sandbox is 60 inches wide, 72 inches long, and will be filled 18 inches deep. Under the assumption that 1 bag of sand can fill 3,600 cubic inches of the sandbox, what is the minimum number of bags of sand they will need in order to fill the sandbox?
(A) 1 (B) 7 (C) 12 (D) 21 (E) 22
Correct Answer: E
More ACT Math Exam Questions
- 1
What is the perimeter of quadrilateral STUR if it has vertices with (x,y) coordinates S(0,0), T(2,-4), U(6,-6), R(4,-2) ?
- 2
Passes to the Renaissance Faire cost $9 when purchased online and $12 when purchased in person. The group sponsoring the fair would like to make at least $4,000 from sales of passes. If 240 passes were sold online, what is the minimum number of tickets that must be sold in person in order for the group to meet its goal?
- 3A flight instructor charges $75 per lesson, plus an additional fee for the use of his plane. The charge for the use of his plane varies directly with the cube root of the time the plane is used. If a lesson plus 27 minutes of plane usage costs $120, what is the total amount charged for a lesson involving 64 minutes of plane usage?
- 4For some real number a, the graph of y = (a + 3)x + 5 in the standard (x, y) coordinate plane passes through the point (3, 11). What is the slope of this line?
- 5
For all x > 8,
= ?