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Lisa [10]
3 years ago
13

99 POINTS

Mathematics
1 answer:
inysia [295]2 years ago
5 0

Answer:

Part a) The exact area of the sidewalk is 80\pi\ m^{2}

Part b) The approximate area of the sidewalk is 251.2\ m^{2}

Step-by-step explanation:

we know that

The area of the sidewalk is equal to the area of the outer circle minus the area of the inner circle

Part a) Find the exact area of the sidewalk

A=\pi (12)^{2} -\pi (8)^{2}

A=\pi [144-64]

A=80\pi\ m^{2}

Part b) Find the approximate area of the sidewalk

assume \pi=3.14

substitute

A=80(3.14)=251.2\ m^{2}

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Answer:

I is clear that, the linear equation 5x+12=5x-7 has no solution.

Step-by-step explanation:

<u>Checking the first option:</u>

\frac{2}{3}\left(9x+6\right)=6x+4

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\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}

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\mathrm{Both\:sides\:are\:equal}

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<u>Checking the 2nd option:</u>

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\mathrm{Subtract\:}5x\mathrm{\:from\:both\:sides}

5x+12-5x=5x-7-5x

\mathrm{Simplify}

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\mathrm{The\:sides\:are\:not\:equal}

\mathrm{No\:Solution}

<u>Checking the 3rd option:</u>

4x+7=3x+7

\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides}

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<u>Checking the 4th option:</u>

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\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}

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\mathrm{Simplify}\

-6x=-6x

\mathrm{Add\:}6x\mathrm{\:to\:both\:sides}

-6x+6x=-6x+6x

\mathrm{Simplify}

\mathrm{Both\:sides\:are\:equal}

\mathrm{True\:for\:all}\:x

Result:

Therefore, from the above calculations it is clear that, the linear equation

5x+12=5x-7 has no solution.

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