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).
Answer:
thanks
Step-by-step explanation:
Answer:
412/8= 51 centerpieces
Step-by-step explanation:
You just multiply the top and bottom numbers like it was two normal multiplication problems. Ex. 3/4x1/4=3/16 (3x1,4x4) But its different because you have to put them together to make a fraction (3/16).
3: 18
4: 17
5: 561
6: 17
7: 23
:)
