Home->ACT Math

What is the distance, in coordinate units, between the points M (1,-3) and N (-5,5) in the standard (x,y) coordinate plane?

(A)

(B)

(C) 8

(D) 10

(E) 20

Two hoses attached to separate water sources are available to fill a cylindrical swimming pool. If both hoses are used, the time it will take to fill the pool can be represented by the following equation: , where T₁ and T₂ represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and T_c represents the time needed for hoses 1 and 2 to fill the pool working together. If hose 1 alone can fill the pool in exactly 20 minutes and hose 2 alone can fill the pool in exactly 60 minutes, how many minutes will it take to fill the pool if both hoses work simultaneously?

(A) 3 (B) 10 (C) 15 (D) 18 (E) 40

Correct Answer: C

In ABC, the measures of A, B, and C are 2x°, 3x°, and 5x°, respectively. What is the measure of C?

（A）18° （B） 36° （C） 54° （D） 90° （E） 180°

Correct Answer: D

ACT test dates 2020 2021