Members of an art club paint a mural on a large wall that is shaped like a trapezoid. One base of the trapezoid is 20 feet long and the other base is half that length. A gallon of the paint they use covers 300 square feet. They use all but 1/5

of one gallon of the paint. What is the height of the wall? Complete the explanation.

The height of the wall is 4 feet.

Step-by-step explanation:

Given data:

one base=a=20 feet

second base=b=half of base a=1/2 x 20=10 feet

A gallon of the paint they use covers 300 square feet and they use 1/5 of one gallon so,

Area of trapezoid=A=1/5 of 300= 1/5 x 300=60 square feet

Required:  

What is the height of the wall?

Solution:

As we know the formula for area of a trapezoid is;

putting values, we get

The height of the wall is 4 feet.

Height of the wall is 4 feet

Step-by-step explanation:

A look at the image attached will provide the necessary explanations

17

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1