Suppose the average height of four people is given by 4A = 46 + h2 + 73 + h4, where A is the average height in inches and h2 and h4 represent the heights of the second and fourth people, respectively, measured in inches. If the average height is 55 inches, solve the equation for the second person's height h2 (in inches). h2 = (101 – h4) inches 101 - h4 in 2. Solve F = Lt d for L. Assume all variables are nonzero. L = Fd/t Fd / t 3. The volume V of a right circular cone with radius r and height h is given by V = 1 3 𝜋r2h. Suppose a right circular cone has a height of 33 inches. Solve the equation for the radius r in inches. r = 0.17 x √V 0.17 sqrt(V) in 4. Solve V = 𝜋r2h for r. If appropriate, write only the positive root. Assume all variables are nonzero. r = 0.977 x √[V/h] 0.977 sqrt(V/h) 5. Solve p1 − p2 = 0 for p1. Assume the variable is nonzero. p1 = p2 p^2 6. Solve c = s n for n. If appropriate, write only the positive root. Assume all variables are nonzero and any variable under a square root is non-negative. n = s2/c2 s^2 / c^2 7. A person's body mass index can be computed using the formula b = 703 · w h2 , where b is the body mass index, w is the person's weight in pounds, and h is the person's height in inches. Suppose a person weighs 140 pounds. Solve the equation for the person's height h in inches. h = 313.72/√b inches 313.72/ sqrt(b) in 8. Acceleration is a measure of the change in velocity and is given by the formula a = vf − vi t , where a is the acceleration measured in feet per second per second, vi and vf are the initial and final velocity measures in feet per second, and t represents the time in seconds. Suppose an object has an initial velocity of 10 feet per second. Write an equation for the object's final velocity vf. vf = at + 10 ft/s 9. The equation P = 2L + 2W gives the perimeter P of a rectangle whose respective length and width are L and W. Suppose a rectangle has a length of 54 feet. Solve the equation for the width W in feet. W = (1/2 P) - 54 ft