If a+ 2b= 2, what is the value of ?
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
Correct Answer: A
For all values, x, y, and z, if x ≤ y and y ≤ z, which of the following CANNOT be true? I. x = z II. x > z III. x < z
（A）I only （B） II only （C） III only （D） I and II only （E） I, II, and III
Correct Answer: B
If sin then cos θ = ?
（A） （B） （C） （D） （E）
Correct Answer: C
More ACT Math Exam Questions
- 1A circular lamp base has a radius of 2.5 inches. When placed on a flat table, approximately how much area does the lamp base cover, in square inches?
Andrea and Zach are both waiting for an appointment with a guidance counselor. When they arrived, each received a card from the secretary, telling the hour and minute of his or her arrival. Two minutes ago, Andrea had been waiting exactly as many minutes as Zach. Three minutes from now, Andrea will have been waiting exactly as long as Zach. If the time is now 11:30, at what time did Andrea arrive?
- 3For all positive a, b, and
- 4 Five cans of tomatoes cost $6.50. At this rate, how much will nine cans of tomatoes cost
- 5Which of the following is equivalent to the inequality 3x - 6 > 6x + 9?