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3 years ago

The volume of the sphere is 500/3pi cubic units. What is the value of x

Mathematics

1 answer:

Sphinxa [80]3 years ago

5 0

Answer:

Step-by-step explanation:

Formula for the volume of a sphere is V = (4/3) (π) r³

3V 4²

and so the cube of the radius, "r," is r³ = ------------- * -----

4 4²

Taking the cube root of both sides, we get

∛[3V / 4²] 3V

and so the radius, "r," is r = ------------------ = ∛ ( --------- ) = (1/4)*∛(3*v)

∛[4³] 4³

Then

r = (1/4)*∛(3*V), after substituting 500/(3π) for V, becomes:

r = (1/4)*∛[ 3*500/3π ] = (1/4)*∛[ 500/π ]

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

A 140 kg camera is suspended by two wires over a 40 metre wide football field to get shots of the action from above. At one poin

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Answer:

Please red the answer below

Step-by-step explanation:

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θ2: angle between the horizontal and the first cable

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You can squared both equations (1) and (2) and the sum the two equations:

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Then, you sum the equations:

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With this values you can calculate the value of the another angle, by using the equation (1):

$\theta_1=cos^{-1}(\frac{T_2cos(27.23\°)}{T_1})=cos^{-1}(\frac{(800N)(cos27.23\°)}{1500N})\\\\\theta_1=61.69\°$

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$l_1cos\theta_1=40-d\\\\l_2cos\theta_2=d\\\\$

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By using the cosine law you can fins a system of equation and then you can calculate the values of l1 and l2.

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Answer:

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Answer:

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Hope that answers the question, have a great day!

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