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Burka [1]
3 years ago
15

I need help with this 1. Find the area and perimeter of the shape. Show work.

Mathematics
1 answer:
balu736 [363]3 years ago
4 0

Answer:

Area= 28.274 cm^{2}

Perimeter= 21.425 cm

Step-by-step explanation:

This is a quadrant.

Formula for area of a quadrant= \frac{1}{4} *\pi r^{2}

Area= 1/4\pi *6^{2}

Area= 28.274 cm^{2}

Formula for perimeter of a quadrant= 0.5\pi r+2r

r=6cm

Perimeter= 0.5\pi*6 +(2*6)

Perimeter= 21.425 cm

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Given:

Consider the equation is:

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To prove:

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Solution:

We have,

\log_81000=\log_210

Taking left hand side (LHS), we get

LHS=\log_81000

LHS=\dfrac{\log 1000}{\log 8}                  \left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]

LHS=\dfrac{\log (10)^3}{\log 2^3}

LHS=\dfrac{3\log 10}{3\log 2}                   [\because \log x^n=n\log x]

LHS=\dfrac{\log 10}{\log 2}

LHS=\log_210                    \left[\because \log_ab=\dfrac{\log_x a}{\log_x b}\right]

LHS=RHS

Hence proved.

6 0
3 years ago
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Tatiana [17]

Answer:

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