Answer: 1145 ft
Step-by-step explanation:
tan 45=1145/x
x tan45/1=1145
x tan 45/ tan 45= 1145/ tan 45
x= 1145/ tan45= 1145... ≈1145
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
Answer:
36.
Step-by-step explanation:
Please correct me if i'm wrong! :)
Answer: all points 
that satisfy 
Step-by-step explanation:
The slope of the line is
So, substituting into point-slope form, the equation is
Therefore, all points that satisfy will lie on the same line.
