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3 years ago

Madeleine says she can use a clock to show that 5/60 and 1/12 are equivalent fractions. Do you think she is correct? Explain.

Mathematics

2 answers:

Rasek [7]3 years ago

5 0

Yes, 5/60, 5 divided by 5=1. 60 divided by 5= 12. Leaving you with 1/12. Meaning that both fractions are equivalent

lisov135 [29]3 years ago

5 0

She is correct because when you do cross multiply you are able to see whether or not a fraction is equivalent.

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3 years ago

If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in cm/min) at which the diameter d

grin007 [14]

Answer:

The diameter decreases at a rate of 0.053 cm/min.

Step-by-step explanation:

Surface area of an snowball

The surface area of an snowball has the following equation:

$S_{a} = \pi d^2$

In which d is the diameter.

Implicit differentiation:

To solve this question, we differentiate the equation for the surface area implictly, in function of t. So

$\frac{dS_{a}}{dt} = 2d\pi\frac{dd}{dt}$

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This means that $\frac{dS_{a}}{dt} = -3$

Tind the rate (in cm/min) at which the diameter decreases when the diameter is 9 cm.

This is $\frac{dd}{dt}$ when $d = 9$ . So

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2 years ago

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Hope this helped :)

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3 years ago