If someone could me with #10 i will give you 25 points. i vaguely remember how to do this but i just cannot remember. me understand by explaining as well. you

Given in the figure are:

the length of the base of the triangular roof, 32 ft. The altitude of the triangle roof is 18 ft. To solve for the two other sides of the triangle, we need to use the Pythagorean Theorem:

c ^ 2
=
(a ^ 2) + b ^ 2

where c is the hypotenuse (length of the side)
a
= the length of half the base of the  triangle
b
= the altitude of the  triangle

We will solve one of the right triangles:

c ^ 2 =
32/2)^2 + 18^2
c
=
24.08 ft

To determine the length of the lights needed for the roof, we need to find the perimeter of the triangle:

P =
24.08 ft  + 24.08 ft + 32 ft
Perimeter is equal to 80.16 ft

The total length of the lights should be approximately 80.16 ft to cover the sides of the roof. 

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.