Answer:
10.21 feet.
Step-by-step explanation:
circumference of circle with diameter d is given by
where r is the radius of the circle.
_____________________________
given
diameter = 6 1/2 = 13/2 feet
\thus, circumference of circle is calculated as following
Thus, circumference of given circle is 10.21 feet.
Refer to the diagram shown below.
When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)
Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)
From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.
From (1) and (2), obtain
225a + k = 15
2025a + k = 6
Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft
Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125
A graph of the solution verifies that the solution is correct.
Answer:
x=4
x=-5
Step-by-step explanation:
in order for this to be equal to 0, 1 or both of the factors has to be 0, because anything multiplied by 0 is 0.
123 * 29382 * 8139* 0 = 0
x-4 = 0
x = 4
x+5 = 0
x=-5
To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply.
Divide: 4(/7) / 2 = 4/7 · 1/2 = 4*1/ 7*2 = 4/14 = 2/7