The figure below shows the screen of an automobile navigation map. Point A represents the car's starting point, point B represents the driver's intended destination, and point C, the center of the circle, is the car's current position. Currently, point A is 15 miles from point C and 250° clockwise from due north, and point B is 20 miles from point C and 30° clockwise from due north. Which of the following represents the shortest distance (a straight line) between the car's starting point and the driver's desired destination?
(Note: For any ABC in which side a is opposite A, side b is opposite B, and side c is opposite C, the law of cosines applies: c2 = a2
(A)
(B)
(C)
(D)
(E)
The Correct Answer
If x and y are real numbers and 0 < x < y < , which of the following gives the set of all values which could have?
(A) (B) (C) (D) (E)
Correct Answer: A
In the (x,y) coordinate plane below, points P (6,2) and Q (1,4) are two vertices of ΔPQR. If PQR is a right angle, then which of the following could be the coordinates of R?
(A) (4,-3) (B) (3, 0) (C) (2, 1) (D) (2, 4) (E) (3, 9)
Correct Answer: E
What is the slope of the line determined by the equation ?
(A)3 (B) 1 (C) (D) (E) -3
Correct Answer: C
More ACT Math Exam Questions
- 1In the standard (x, y) coordinate plane, a line passes through the points (1, -2) and (5, 10). At which of the following points does the line cross the y-axis?
- 2If a = BC, b = x, and c = yz, then AB = ?
- 3
If , then a=
- 4How to select the ACT Test Centre 2020
- 5Which of the following is closest to the perimeter of quadrilateral FGHJ, in coordinate units?