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2 years ago

Find the area of the figure below. Round your answer to one decimal place.

Mathematics

1 answer:

MAVERICK [17]2 years ago

4 0

Answer: 57.1 (rounded)

Step-by-step explanation:

Area of triangle formula: 1/2 x base x height

Area of a semicircle: 1/2 x pi x r^2

(1/2 x 8 x 8) + (1/2 x pi x 4^2)

= 57.1 (rounded)

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Answer:

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Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

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Such that:

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$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

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Using direct proofs.

Let the two rational numbers be A and B.

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$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

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Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

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$A / B = \frac{3}{4}$

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The sum:

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Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

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