1. Let's call:
x: the width of the walkway.
b: 2x+16 (there is a widht "x" of the walkway on each side).
h: 2x+32 (there is a widht "x" of the walkway on each side).
A: 924 ft^2 ( the area of the pool of including the walkway).
2. The area of a rectangle is:
A=(b)(h)
b: the base of the rectangle (2x+16)
a: the height of the rectangle (2x+32)
3. Then, we have a quadratic equation:
924=(2x+16)(2x+32)
4x^2+64x+32x+512-924=0
4x^2+96x-412=0
4. We apply the quadratic formula to find the value of "x":
x=(-b±√(b^2-4ac))/2a
x=3.71
The answer is: The width of the walkway is 3.71 ft
Divide the amount spent on utilities (285 dollars) over the total expenses (2376 dollars) to get...
285/2376 = 0.1199
which is approximate
Move the decimal over 2 spots to the right to go from 0.1199 to 11.99% which is the final answer (this is approximate as well)
Note: Moving the decimal over 2 spots to the right is the same as multiplying by 100. So that means 0.1199*100% = 11.99%
Just use photomath that’s easier
Answer:
A rotation of 180* around point Z
Step-by-step explanation:
The pentagon is translated then rotated around z