ACT Exams- Math Easy 2

1. If tan(x) = 5/13, then sin(x) = ?

 
 
 
 

2. An isosceles triangle has an area of 24 square units. If one of the angles is 60°, what is the length of one of the two congruent sides?

 
 
 
 

3. Evaluate: lim_{x→0} (arcsin(3x) – 3x)/x

 
 
 
 

4. A bag contains 5 red balls and x blue balls. If selecting a ball at random, the probability of selecting a red ball is 2/7, what is the value of x?

 
 
 
 

5. If (x+1)/(x-3) = (y-2)/(y+4), and x=1, then y= ?

 
 
 
 

6. Evaluate the triple integral ∫∫∫_R xyz dV where R is the region bounded by the parabolic cylinder z = x^2 + y^2 and the planes z = 0 and z = 1.

 
 
 
 

7. A circle is inscribed in an equilateral triangle with side length 8. What is the area of the circle?