Answer/Step-by-step explanation:
a. Unknown side, b, using the Pythagorean theorem is solved as shown below.





Unknown side, b, = 36 km
b. Perimeter of the triangle = sum of all the sides of the ∆ = 

c. Area of triangle = ½*base*height
where,
Base = 36 km
Height = 27 km



the product of 2 times x and the sum of 9 and 5 times the square of x
2x *(9+5x^2)
To simplify an expression you need to combine like terms.
In the given equation, there are two like terms, 5r and 9r.
There is a plus sing in front of each one, so add those together: 5r + 9r = 14r
There are no ther like terms so the simplified expresssion becomes:
8w + 14r - t
V = 162π in^3
Explanation:
Since rotation a rectangle on its side result to a cylinder.
We'll use the formula for the volume of a cylinder with 8in being the height (since the rectangle is rotated around that side) and 9 in as the diameter.
Data:
Radius : r = diameter / 2 = 9/2 = 4.5 in
Height : h = 8 in
Formula:

Solution: