Let L represent the ladder length, and x the distance the horiz. ladder reaches out from the wall. Then L = x + 3, where x is the distance of the bottom of the ladder from the wall when the top of the ladder is 9 ft. above the ground.
Consider the triangle formed by the hypotenuse (L, same as ladder length), the (vertical) side opposite the angle formed by the hypo. (with length 9 ft) and the horiz side (which we will call x). Then, according to the Pythagorean Theorem,
L^2 = x^2 + 9^2. But L = x + 3, and L^2 = x^2 + 6x + 9 = x^2 + 9^2. Solving this equation results in x=3. 6x + 9 = 9^2, or
6x + 9 = 81
6x = 72
x = 12
But L = x+3. So L=12+3, or L = 15 (feet).
Mechanical Advantage = Force by Hammer / Force by Nail = 160/40 = 4
Answer:
12
Step-by-step explanation:
(5/25)(15/24)
2/3 of a minute is longer than 1/3 of a minute
Answer:
Fraction of fire trucks = 
Total number of toy cars = 
Step-by-step explanation:
Fraction of sports car = 
Fraction of remaining cars 
So,
Fraction of pick up cars = 
Therefore,
Fraction of fire trucks = 
That is Number of fire trucks =
( Total number of toy cars )
Number of fire trucks = 4
Total number of toy cars = 