An angle in the standard (x,y) coordinate plane has its vertex at the origin and its initial side on the positive x-axis. If the measure of an angle in standard position is (1,314°), it has the same terminal side as an angle of each of the following measures EXCEPT:
(F) 594°
(G) 314°
(H) 234°
(J) -126°
(K) -486°
In the following figure, the area of the shaded region is 20% of the area of the whole circle centered at P.The angle shown measures ddegrees. What is its measurement in radians?
(A) (B) (C) (D) (E)
Correct Answer: B
Violet is baking a mixed berry pie that contains blueberries, cherries, blackberries, and raspberries. She uses three times as many blackberries as cherries, twice as many blueberries as raspberries, and the same number of blackberries and raspberries. If Violet has 10 cherries, how many of each of the other berries must she use? Raspberries Blueberries Blackberries
(A)3 2 3 (B) 30 2 3 (C) 30 2 30 (D) 30 60 10 (E) 30 60 30
Correct Answer: E
On a sonar map in the standard (x,y) coordinate plane, the Yellow Submarine and the Sandwich Submarine are located at the points (-7,4) and (-2,6), respectively. Each unit on the map represents an actual distance of 5 nautical miles. Which of the following is closest to the distance, in nautical miles, between the two submarines?
(A) 5 (B) 19 (C) 27 (D) 30 (E) 67
Correct Answer: C
More ACT Math Exam Questions
- 1
If a cube has a volume of kcm3and a surface area of 10k cm2, what is its height in centimeters?
- 2
What is the length, in coordinate units, of a diagonal of a square in the standard (x,y) coordinate plane with vertices at points (0,0), (4,0) and (4,4)?
- 3In ΔABC, shown below, the measure of b is 40°, the measure of c is 35°, and is 27 units long. Which one of the following is an expression of the length, in units, of ? (Note: The law of sines states that for any triangle, the ratio between the sine of an angle and the length of the side opposite that angle is the same for all of the interior angles in the triangle.)
- 4
For what value of x, if any, is the equation (x - 1)2 = (x - 7)2 true?
- 5Which of the following expressions gives the area, in square feet, of ABC shown below with the given side lengths in feet?