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3 years ago

How is 2.5/3=75% equivalent

Mathematics

1 answer:

horsena [70]3 years ago

4 0

Answer:

its equivalent because 75% equals to 75 over one hundred = 75/100 so when you divide 75 by 3 you get 25 but then you have to divide 25 by 10 you get 2.5

Step-by-step explanation:

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3 years ago

If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate (in cm/min) at which the diameter d

zhuklara [117]

Answer:

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

Step-by-step explanation:

Surface area of an snowball:

An snowball has spherical format. The surface area of an sphere is given by:

$S = d^2\pi$

In which d is the diameter of the sphere.

In this question:

We need to differentiate S implicitly in function of time. So

$\frac{dS}{dt} = 2d\pi\frac{dd}{dt}$

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This means that $\frac{dS}{dt} = -9$

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This is $\frac{dd}{dt}$ when $d = 10$ . So

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$\frac{dd}{dt} = -\frac{9}{20\pi}$

$\frac{dd}{dt} = -0.143$

Area in cm², so diameter in cm.

The diameter decreases at a rate of 0.143cm/min when it is of 10 cm.

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3 years ago

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Step-by-step explanation:

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