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3 years ago

What is the area of the composite figure

Mathematics

1 answer:

oksano4ka [1.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

To find the area of a composite figure, separate it into the regular parts which make the irregular shape. This shape is composed of a semi-circle and a rectangle. Find the area by finding the area of each shape.

Semi-circle:

The semi-circle has a diameter of 2 + 4 + 2 = 8. The area this figure uses the radius which is half the diameter. The radius is 4. To find the area substitute r = 4 into $\pi r^2 = \pi 4^2 = 16\pi$ . However the semi-circle has a smaller circle cut out of it with radius 2. The area of the smaller circle is $\pir^2 = \pi 2^2=4\pi$ . The semi circle in the shape is the areas subtracted which equals 12π.

Rectangle:

The area of the rectangle is found using A = b*h = 2*5 = 10.

The total area is 12π + 10 meters squared.

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2 years ago

Read 2 more answers

Factor completely 16x8 − 1.

marta [7]

<u>Given</u>:

The given expression is $16 x^{8}-1$

We need to determine the factor of the given expression.

<u>Factor</u>:

Let us rewrite the given expression.

Thus, we have;

$\left(4 x^{4}\right)^{2}-1^{2}$

Since, the above expression is of the form $a^2-b^2$ , let us apply the identity $a^2-b^2=(a+b)(a-b)$

Thus, we have;

$\left(4 x^{4}+1\right)\left(4 x^{4}-1\right)$ ------ (1)

Now, we shall factor the term $4x^4-1$

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Substituting the above expression in equation (1), we have;

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Hence, Option B is the correct answer.

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4 years ago

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SpyIntel [72]

Answer:

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Answer:

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3 years ago