Answer:

Step-by-step explanation:
Given
The attached triangle
Required
Find cos V
In trigonometry:

In this case:

Where

and
-- Pythagoras


Take square roots




So:



Rationalize:


Answer:
48
Step-by-step explanation:

is basically the horizontal axis.
First, find the integral of x^2-25.
Remember that
integral of a constant is that constant times x.
Also that
to take the integral of a power function, add 1 to the degree and divide by that same degree.

We then get

Evaluate at -3


Then we evaluate at 0

Next, we subtract the the answer then we get

First, make up some variables to represent the number of Girls and Boys in the choir.
B = number of boys
G = number of girls
You know that there are 4 times as many girls in the choir as boys. Therefore, the equation you can write is:

If you cross-multiply, then you get the simplified equation:
G = 4B
Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.
Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60
To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12
However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48
The number of girls you have is 48.
Both of these values are the same, so the number sentence would state:
7.17 = 7.170
You can place any number of zeros to the very end on the right side (when there is a decimal point) without changing the value of the number.
7.1700000 = 7.17 also
Area = l * w
A = 10 1/2 * 12 5/8
A = 21/2 * 101/8 = 2121/16
A = 132.56 ft²