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algol13
3 years ago
11

Pyramid A has a volume of 60 mm cubed and pyramid B has a volume of 937.5 mm cubed. What is the ratio of their heights?

Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0
We know that
volume pyramid A=[scale factor]³*volume pyramid B
so
scale factor=∛[volume pyramid A/volume pyramid B]
scale factor=∛[60/937.5]----> scale factor=0.4

<span>the ratio of their heights is equal to the scale factor
hA/hB=0.4</span>
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Answer:

\boxed{y=4x^3-x^2-50x+25}


Step-by-step explanation:

The given function is


y=(x-5)(x+5)(2x-1)


Observe that, the first two factors are from difference of two squares.


\Rightarrow y=(x^2-5^2)(2x-1)


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We expand the brackets using the distributive property to obtain;

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\Rightarrow y=4x^3-x^2-50x+25


The above function is now in standard form, since the terms are arranged in descending powers of x.



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