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2 years ago

Volume of a rectangular prism.. PLEASE HELP

Mathematics

1 answer:

kondaur [170]2 years ago

7 0

$\text {Volume = } \dfrac{5}{2x + 8} \times \dfrac{x+4}{4} \times \dfrac{12}{x}$

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Take out (x + 4) as a common factor :
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$\text {Volume = } \dfrac{5}{2(x + 4)} \times \dfrac{x+4}{4} \times \dfrac{12}{x}$

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Cross out (x + 4) :
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$\text {Volume = } \dfrac{5}{2} \times \dfrac{1}{4} \times \dfrac{12}{x}$

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Rewrite 12 as 4 x 3 :
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$\text {Volume = } \dfrac{5}{2} \times \dfrac{1}{4} \times \dfrac{4 \times 3}{x}$

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Cross out 4 :
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$\text {Volume = } \dfrac{5}{2} \times \dfrac{ 3}{x}$

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Combine into single fraction:
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$\text {Volume = } \dfrac{15}{2x}$

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2 years ago

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A right triangle

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2 years ago

In an arithmetic sequence, = 5 and = 11.

Free_Kalibri [48]

Answer:

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Step-by-step explanation:

First we write out our given information:

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What does an arithmetic sequence mean? It means to get to the next term in your sequence you add a constant (c) each time:

an+1=an+c

Equivalently:

an+1−an(n+1)−n=c

So an is of slope c (c2 is another constant):

an=cn+c2

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Now we use the other given information to try to come up with a solution.

Let n=2:

a2=2c+c2

Let n=8, using the above equation we have:

a8=8c+c2=2a2=4c+2c2

Let n=11

a11=18

a11=11c+c2

But a11−a8=(11c+c2)−(8c+c2)=3c

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2 years ago

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Answer:

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