Answer:
V = 235.6 cm³
Step-by-step explanation:
the formula for the volume of a cylinder of radius r and length h is
V = πr²h.
Here, r = 2.5 cm and h = 12 cm, so the volume is:
V = π(2.5 cm)²(12 cm) = 75π cm³
To the nearest tenth, this volume would be V = 235.6 cm³
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:
1/10 or 10%
Step-by-step explanation:
99 possible numbers starting from 10
1,2,3,4,5,6,7,8,9 does not count
99-9=90
90 numbers total
possible numbers with a 0: 9
9/90 = 1/10 = 10%
Complentary angles add to 90 degrees
a and b are complentary
a+b=90
a=7x+4
b=4x+9
so
7x+4+4x+9=90
combine like terms
11x+13=90
minus 13 both sides
11x=77
divide both sides by 11
x=7
m a =7x+4=7(7)+4=49+4=53
m b=4x+9=4(7)+9=28+9=37
angle a measures 53 degrees
angle b measures 37 degrees
