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AleksAgata [21]
3 years ago
9

The area of a rectangle garden is 38 1/4 Square meters the width of the garden is 4 1/2 meters. Find the length of the garden

Mathematics
1 answer:
maxonik [38]3 years ago
3 0
Area of rectangle it's the width multiply by the lenth.

A=W*L

A=38 1/4 m²
W=4 1/2 m²

So:                                                         38 1/4  = 4 1/2 * L
Dividing both sides by 4 1/2:          : 4 1/2         :4 1/2
                                                              38\frac14\ :\ 4\frac12\ =\ L\\\\L=\frac{153}4\ :\ \frac{9}2\\\\L=\frac{153}4\ \cdot\ \frac2{9}\\\\L=\frac{17}{2}\cdot\ \frac1{1}\\\\L=8\frac12

Answer:  T<span>he length of the garden is 8 1/2 meters</span>
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Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1​]​
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\green{\large\underline{\sf{Solution-}}}

<u>Given expression is </u>

\rm :\longmapsto\:\dfrac{5 \times  {25}^{n + 1}  - 25 \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {25}^{n + 1} }

can be rewritten as

\rm \:  =  \: \dfrac{5 \times  { {(5}^{2} )}^{n + 1}  -  {5}^{2}  \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {( {5}^{2} )}^{n + 1} }

We know,

\purple{\rm :\longmapsto\:\boxed{\tt{  {( {x}^{m} )}^{n}  \: = \:   {x}^{mn}}}} \\

And

\purple{\rm :\longmapsto\:\boxed{\tt{ \:  \:   {x}^{m} \times  {x}^{n} =  {x}^{m + n} \: }}} \\

So, using this identity, we

\rm \:  =  \: \dfrac{5 \times  {5}^{2n + 2}  - {5}^{2n + 2} }{{5}^{2n + 3 + 1}  -  {5}^{2n + 2} }

\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1}  - {5}^{2n + 2} }{{5}^{2n + 4}  -  {5}^{2n + 2} }

can be further rewritten as

\rm \:  =  \: \dfrac{{5}^{2n + 2 + 1}  - {5}^{2n + 2} }{{5}^{2n + 2 + 2}  -  {5}^{2n + 2} }

\rm \:  =  \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2}  - 1)}

\rm \:  =  \: \dfrac{4}{25 - 1}

\rm \:  =  \: \dfrac{4}{24}

\rm \:  =  \: \dfrac{1}{6}

<u>Hence, </u>

\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times  {25}^{n + 1}  - 25 \times  {5}^{2n} }{5 \times  {5}^{2n + 3}  -  {25}^{n + 1} }  =  \frac{1}{6} }}

4 0
2 years ago
N divided Into 8 is what
Goryan [66]

Answer:

\frac{N}{8}

Dividing is the same as putting numbers into a fraction. This is N/8. We don't get the answer until we figure out what N is equal to.

7 0
3 years ago
Show your work (?) please
julsineya [31]
2013
Because you move the decimal three places to the right.
OR.
2.013 x 1,000
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3 years ago
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