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DedPeter [7]
3 years ago
7

A cylinder and a cone have the same volume. The cylinder has radius x and height y. The cone has radius 2x. Find the height of t

he cone in terms of y.
Mathematics
1 answer:
weqwewe [10]3 years ago
7 0
V(cylinder)=πR²H
Radius of the cylinder R=x, height of the cylinder H=y.
We can write for the cylinder
V(cylinder)=πx²y

V(cone) =(1/3)πr²h
Radius of the cone r=2x.
We can write for the cone
V(cone)= (1/3)π(2x)²h=(1/3)π *4*x²h

V(cylinder) =V(cone)
πx²y=(1/3)π *4*x²h
y=(4/3)*h
h=(3/4)*y


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An object dropped from a height of 600 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=600 - 16t^2
gulaghasi [49]

Answer:

t as a function of height h is  t = √600 - h/16

The time to reach a height of 50 feet is 5.86 minutes

Step-by-step explanation:

Function for height is h(t) = 600 - 16t²

where t = time lapsed in seconds after an object is dropped from height of 600 feet

t  as a function of height h

replacing the function with variable h

h = 600 - 16t²

Solving for t

Subtracting 600 from both side

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600 - h/ 16 = t²

Take square root of both sides

√600 - h/16 = t

Therefore, t = √600 - h/16

Time to reach height 50 feet

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substituting h = 50 in the equation

t = √600 - 50/16

t = √550/16

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4 years ago
Jerry can complete a sales route​ by himself in 5 hours. Working with an associate, he can complete a sales route in 3 hours. Ho
prohojiy [21]

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Step-by-step explanation:


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Need help on this please help
kobusy [5.1K]

Answer:

The measure of ∠A is 127°.

Step-by-step explanation:

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540° - (113° + 80° + 130° + 90°) = ∠A

540° - 413° = 127°

∠A = 127°

<em>Hope this helps,</em>

<em>~ Nicki ~</em>

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Answer:

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Step-by-step explanation:

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