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blagie [28]
3 years ago
9

Perform the indicated operation. Be sure the answer is reduced.

Mathematics
2 answers:
ANTONII [103]3 years ago
8 0

\frac{m}{n} . \frac{n}{p}  \div  \frac{p}{q}  \\  =  \frac{m}{p}  \div  \frac{p}{q}  \\  =  \frac{m}{p} . \frac{q}{p}  \\  =  \frac{mq}{ {p}^{2} }

Hope it helps...

Regards;

Leukonov/Olegion.

olchik [2.2K]3 years ago
5 0

Answer:

The correct answer is first option

mq/p²

Step-by-step explanation:

It is given that, (m/n) * (n/p) ÷ (p/q)

<u>To find the simplified form of given expression</u>

Let  (m/n) * (n/p) ÷ (p/q) can be written as,

(m/n) * (n/p) ÷ (p/q) =  (m/n) * (n/p) * (q/p)

 = (m * n * q)/(n * p * q)

 = (m * q)/(p * p)

 = mq/p²

Therefore the correct answer is mq/p²

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This is a combination of the formula of several figures.

The first one is the bottom of the cylinder AKA a circle.
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The third one is a cone without a bottom.

The first one can be written like this: r^2*3.14 where r is the radius of the circle
The second one is written like this: 2*3.14*r*h where r is the radius, and h the height
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After this you just have to input the values. 
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Youre welcome. 




EXTRA:

If youre wondering how to find the different formulas, you can search for the full formula, then remove the parts you do not need, by matching them with the formula of the part you want to remove.

Example:
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SA = 2(pi<span> r</span><span> 2</span><span>) + (2 </span><span>pi </span><span>r)* h
</span>In this case, i didnt need the top and bottom, then i look for the formula of a circle.
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Is this anywhere in the cylinder? Yes! The first part.
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2 pi r h


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