Answer:
Step-by-step explanation:
-45x + 40
Factor out 5 from the expression.
5(-9x) + 5(8)
Take 5 as a common factor.
<u>5(-9x + 8)</u>
4w + 9( -6 - 3w)
Expand brackets.
4w + 9(-6) + 9(-3w)
4w - 54 - 27w
Combine like terms.
4w - 27w - 54
<u>-23w - 54</u>
Answer:
<em>V = 1,568</em>
Step-by-step explanation:
<u>The Volume of a Square Pyramid</u>
Given a square-based pyramid of base side a and height h, the volume can be calculated with the formula:
We are given a square pyramid with a base side a=14 ft but we're missing the height. It can be calculated by using the right triangle shown in the image attached below, whose hypotenuse is 25 ft and one leg is 7 ft
We use Pythagora's theorem:
Solving for h:
The height is h=24 ft. Now the volume is calculated:
V = 1,568
For this case we have that by definition, the perimeter of the rectangle is given by:
Where:
W: Is the width of the rectangle
L: is the length of the rectangle
According to the data we have:
Substituting:
So, the width of the rectangle is 9 inches
So, the length of the rectangle is 15 inches
Answer:
the width of the rectangle is 9 inches
the length of the rectangle is 15 inches