2 years ago

Find the area of a circle with diameter, d = 9.4m. Give your answer rounded to 1 DP.

Mathematics

1 answer:

bonufazy [111]2 years ago

6 0

Step-by-step explanation:

the answer is in the above image

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Answer:

a: $5\left(2p-7\right)$

Step-by-step explanation:

$10p-35$

$5* \:2p-5* \:7$

$5\left(2p-7\right)$

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Bumek [7]

Answer:

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

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Step-by-step explanation:

The question is

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

$V=LWH$

we have

$L=(10-2x)\ cm$

$W=(10-2x)\ cm$

$H=x)\ cm$

substitute

$V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

Find the domain for x

we know that

$(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm$

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

$V(x)=(4x^{3}-40x^{2}+100x)\ cm^3$

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A number with the same value as 32

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32*10=320 Hope you like and rate

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