PLEASE ANSWER THIS IS FOR A TEST
You are buying fabric to make a patio umbrella in the shape of a regular hexagon, as shown. The red fabric costs $3.75 per square yard and the white fabric costs $2.50 per square yard. You can only order whole numbers of square yards of fabric. What will be the cost of the fabric for this project?

$25

Step-by-step explanation:

The area of a regular hexagon, given its side, is given by the formula:

Area = 3* side^2 * sqrt(3) / 2

As the side is 5 ft, we have that:

Area = 3 * 5^2 * sqrt(3) / 2 = 64.95 ft2

As one foot squared is equal to (1/3)^2 yard squared, we have that:

Area = 64.95/(3^2) yd = 7.22 yd2

Half of the area is red, and half of the area if white, so:

Area_white = Area_red = 7.22/2 = 3.61 yd2

We can only buy whole numbers of fabric, so we will need 4 yd2 of red fabric and 4 yd2 of white fabric. Then, the price will be:

Price = 4 * $3.75 + 4 * $2.50 = $25

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3