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3 years ago

What is the answer to this question

Mathematics

1 answer:

8_murik_8 [283]3 years ago

8 0

Answer:

Step-by-step explanation:

7 (2)^3

We do this according to PEMDAS

The Parentheses here are do indicate what is in the exponent

We do the Exponent first

2^3 = 2*2*2 = 8

7(8)

There is an implied multiplication here

7*8

Now we do the multiplication

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ICE Princess25 [194]

Answer:

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Part b) The perimeter of the figure is $3(2+2\sqrt{2}+ \pi)\ cm$

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

Find the area of the figure ABC

we have

$AB=6\ cm, BC=6\ cm$

The area of the half square ABC is equal to find the area of triangle ABC

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substitute

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Step 2

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The perimeter of the figure is equal to

$P=AB+AC+length\ CB$

we have

$AB=6\ cm$

Applying Pythagoras theorem

$AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm$

Remember that

the circumference of a semicircle is equal to

$C=\frac{1}{2}2\pi r=\pi r$

$r=6/2=3\ cm$

$C=\pi(3)$

$C=3 \pi\ cm$

The perimeter of the figure is equal to

$P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm$

Simplify

$P=3(2+2\sqrt{2}+ \pi)\ cm$

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