The length would be 30 feet, and the width would be 10 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:
72
Step-by-step explanation:
u can see its a right triangle u can see its kinda like 3-4-5 right triangle
75/5 = 15
21/3 = 7
ok so it doesn't work
now
75^2 - 21^2 = 5184
square root of 5184 = 72
6 quarters = $1.50
9 Nickels = $0.45
Total= $1.95
Answer is 6 quarters and 9 nickels.<span />
Answer:
After each rotation of the figure after giving