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3 years ago

The area of the rectangle is 6 square feet. If its width is 2 1/7 feet, find its length.

Mathematics

1 answer:

densk [106]3 years ago

5 0

Answer:

L = 2 4/5 feet

Step-by-step explanation:

A = L x W

6 = L x 2 1/7

divide both sides by 2 1/7

6 divided by 2 1/7 = L (is the same as multiplying by the reciprocal)

6 x 7/15 = L

L = 14/5 or 2 4/5

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Which expression is equivalent to (x^6×x^10/×^-3)^2 and why?

mixer [17]

Answer:

The solution for the given expression is $x^{38}$ , i.e option C

Step-by-step explanation:

Given expression as :

$(\dfrac{x^{6}\times x^{10}}{x^{-3}})^{2}$

Now, From the common radix method

∵ In multiplication of radix , if the radix is same , then power is added

I.e $x^{6}\times x^{10$ = $x^{6+10}$

Or , $x^{6}\times x^{10$ = $x^{16}$

Now, The expression can be written as

$(\frac{x^{16}}{x^{-3}})^{2}$

And In Division of radix , if the radix is same , then power is subtracted

So, $\frac{x^{16}}{x^{-3}}$

Or, $x^{16 - (-)3}$

Or, $x^{16 + 3}$

or, $x^{19}$

∴ The expression is now

$(x^{19})$ ²

Now, again this is written as

$x^{19}$ × $x^{19}$

I.e here again the radix is same and in multiple for, so, power is added

∴ $x^{19}$ × $x^{19}$ = $x^{19+19}$

I.e $x^{19}$ × $x^{19}$ = $x^{38}$

Hence The solution for the given expression is $x^{38}$ , i.e option C . Answer

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4 years ago

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Mamont248 [21]

Answer:

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Step-by-step explanation:

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Nady [450]

Answer:

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Step-by-step explanation:

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4 years ago

Read 2 more answers

The area of the rectangle is 6 square feet. If its width is 2 1/7 ​feet, find its length.

The area of the rectangle is 6 square feet. If its width is 2 1/7 feet, find its length.