Width of the rectangle is 14 ft
Step-by-step explanation:
- Step 1: Let the width of the rectangle be x. Then length = 8 + x. Perimeter = 72 ft.
Perimeter = 2(length + width)
72 = 2 (8 + x + x)
72 = 16 + 4x
4x = 56
x = 56/4 = 14
∴ Width of the rectangle is 14 ft
Answer:

Step-by-step explanation:
We want to solve the equation:

Over the interval [0, 2π).
First, notice that this is in quadratic form. So, to make things simpler, we can let <em>u</em> = cos(x). Substitute:

Rearrange:

Factor:

Zero Product Property:

Solve for each case:

Back-substitute:

Using the unit circle:

Answer:
Perpendicular lines are lines that intersect at a right (90 degrees) angle.so no form of perpendicular for angles except 90° angles
Step-by-step explanation:
Two lines are perpendicular if and only if they form a right angle. Perpendicular lines (or segments) actually form four right angles, even if only one of the right angles is marked with a box.
Answer: 41
Step-by-step explanation:
Plug in 3 into x
Therefore the equation would become
f(3) = 3^3+2(3)^2-3-1 = 41