Answer:
.9
Step-by-step explanation:
9 divided by 10
47 is 0.47 and 2/3 is 0.66
Answer:
Factor the numerator and denominator and cancel out the common factors.
x
^2
−
3 is your final answer.
Step-by-step explanation:
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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.
SA of a cylinder: 2
r² + 2
rh
r = radius of base
h = height of cylinder
Plug in 3 for r and 5 for h in the formula.
2
3² + 2
(3)(5)
Use a calculator to solve.
2
3² + 2
(3)(5) =
150.8 ft²