Answer:
A = 3x² - x - 10
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width , then
A = (3x + 5)(x - 2)
each term in the second factor is multiplied by each term in the first factor.
A = 3x(x - 2) + 5(x - 2) ← distribute parenthesis
= 3x² - 6x + 5x - 10 ← collect like terms
= 3x² - x - 10
I think you forgot to give the diagram along with the question. Considering 8 ft as the radius, we can find the area by the formula described below.
Area = pi * (Radius) ^2
= 3.14 * (8)^2
= 3.14 * 64
= 200.96
So the area of the shaded portion would be 200.96 square feet. I hope that this answer has come to your help.
9514 1404 393
Answer:
6
Step-by-step explanation:
Cost and revenue are equal when ...
C = R
2.5x +21 = 6x
21 = 3.5x . . . . . . subtract 2.5x
6 = x . . . . . . . . . .divide by 3.5
The company must sell 6 items to break even.
Answer:
Step-by-step explanation:
The two acute angles add up to 90 degrees. That's because every triangle has 180 degrees and a right angle is 90 degrees.
<m1 + <m2 + 90 = 180 Subtract 90 from both sides.
<m1 + <m2 + 90 - 90 = 180 - 90 Combine
<m1 + <m2 = 90
Let m1 = 9*m2 Substitute.
9m2 + m2 = 90 Combine
10 m2 = 90 Divide by 10
10m2/10 = 90/10
m2 = 9
m1 = 9*m2
m1 = 9 * 9
m1 = 81
The right angle = 90
m1 = 81
m2 = 9