To make space for new merchandise, a clothing store offered a 15% discount on all current stock.What is the sale price of a jacket that regularly sells for $42?
(A)$6.30
(B) $8.40
(C) $35.70
(D) $37.80
(E) $41.85
A circle in the standard (x, y) coordinate plane is tangent to the x-axis at -a, and tangent to the y-axis at a, with a > 0. The radius of the circle is 4 units. What is the equation of the circle?
（A）x2 + y2 = 4 （B） x2 + y2 = 16 （C） (x - 4)2 + (y - 4)2 = 4 （D） (x + 4)2 + (y + 4)2 = 16 （E） (x + 4)2 + (y - 4)2 = 16
Correct Answer: E
In the standard (x,y) coordinate system, circle O has its center at (4,-3) and a radius of 12 units. Which of the following is an equation of the circle?
（A）(x - 4)2 + (y + 3)2 = 12 （B） (x + 4)2 + (y + 3)2 = 12 （C） (x + 4)2 - (y + 3)2 = 12 （D） (x - 4)2 + (y - 3)2 = 144 （E） (x - 4)2 + (y + 3)2 = 144
Correct Answer: E
On the xy-plane, what is the area of a circle with this equation: (x+ 3)2+ (y– 4)2= 49?
(F) 5π(G) 7π(H) 25π(J) 49π(K) 125π
Correct Answer: J
More ACT Math Exam Questions
- 1
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)
- 2
If
, what is the value of cos a? - 3Stacie has a bag of solid colored jellybeans. Each jellybean is orange,
purple, or pink. If she randomly selects a jellybean from the bag, the
probability that the jellybean is orange is
, and the probability that it is purple is 
. If there are 72 jellybeans in the bag, how many pink jellybeans are in the bag? - 4
Factoring the polynomial x12 -9 reveals a number of factors for the expression. Which of these is NOT one of the possible factors?
- 5If x < 0 and y < 0, then |x + y| is equivalent to which of the following?