19. a silver statue of pooja is leaning against a wall. the top of her head
touches the wall at 40 feet. if the base of the statue is 9 feet away from the
wall, how tall is pooja’s statue, in feet?

41 ft.

Step-by-step explanation:

For this problem, you are doing to use the Pythagorean theorem (a²+b²=c²), because the shape made by the statue leaning against the wall makes a triangle.

In this instance, you know that one leg of the triangle is 40 ft. and the other is 9 ft., so you need to find out what the hypotenuse is.

Plug in the measurements of the triangle's legs and solve.

      40²+9²=c²

      1600+81=c²

      1681=c²

      41=c

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.

step-by-step explanation:

for volume, add base x height x width