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3 years ago

Question 4 of 5

Mathematics

1 answer:

eduard3 years ago

4 0

Answer:

4x -5)(16x² +20x +25)

Step-by-step explanation:

The factoring of the difference of cubes has a standard form:

a³ -b³ = (a -b)(a² +ab +b²)

Here, your knowledge of the cubes of small integers tells you that ...

64 = 4³

125 = 5³

So, in the above, we have

a = 4x, b = 5

and the factored form is

(4x -5)(16x² +20x +25)

<h2>Please mark me as brainliest</h2>

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Answer:

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Step-by-step explanation:

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Then, you find the volume of the dome.

Here's the formula:

$volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius$

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$V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2$

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$1204.6+781.2=1985.8$

Hope this helped!

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