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:
If only the fittest survive in certain enviorments other animals have to evolve to live in different places
Step-by-step explanation:
Answer:
Percent Decrease = 20% Decrease
Step-by-step explanation:
To find percentage decrease, we will use a simple formula shown below:
Percentage Decrease/Increase = 
Where
New is the latest number of members (which is 24)
Old is the initial number of members (which is 30)
<em>Note: the multiplication by a factor of "100" brings the answer to a percentage</em>.
Now, lets substitute the numbers and figure out the percentage decrease:

So, it comes to -20, which is a decrease of 20%
This looks like a simple arithmetic series. Each term is 7 greater than the previous term.
Therefore, the Nth term is 17 + 7N.
For example, the first term is 17 + 7*1 = 17 + 7 = 24.
The second term is 17 + 7*2 = 17 + 14 = 31
etc...
And the 500th term is 17 + 7 * 500 = 17 + 3500 = 3517
Answer:
x=11
Step-by-step explanation:
y= 1/4x
5x-8y=33
5x-8(1/4x)=33
x=11