v is inversely proportional to r^2 when r=2, v=12. The value of r is approximately 2.83 when v= 4 8 6

Question

v is inversely proportional to r^2 when r=2, v=12. The value of r is approximately 2.83 when v=

4

8

6

2

0

Answers ( No )

    0
    2021-09-09T18:14:10+00:00

    Answer:

    The correct answer option is 6.

    Step-by-step explanation:

    We know that v is inversely proportional to r^2 so we can write it as:

    v\frac{1}{r^2}

    To change the proportionality to equality, we need to have a constant k.

    v = \frac{k}{r^2}

    When r=2then  v=12 so we can find the value of the constant k:

    12=\frac{k}{2^2}

    k=48

    Now that we know the value of k, we can find the value of  v when  r=2.83:

    v=\frac{48}{2.83^2}

    v= 5.996

    0
    2021-09-09T18:14:56+00:00

    We are given

    v is inversely proportional to r^2

    so, we can write our equation as

    v=\frac{k}{r^2}

    where

    k is proportionality constant

    we have

    r=2 and v=12

    so, we can use it and find k

    12=\frac{k}{2^2}

    k=48

    now, we can plug back k

    v=\frac{48}{r^2}

    we can plug r=2.83

    so, we can plug it and find v

    v=\frac{48}{2.83^2}

    r=\frac{48}{8.0089}

    v=5.9933

    So, the approximate value of v is 6……….Answer

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