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3 years ago

Factor each expression 36abc +54ad

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

7 0

Answer:

18a(2bc + 3d)

Step-by-step explanation:

36abc + 54ad

Step 1: Find the Highest Common Factor of each

36abc = 2×2×3×3×a×b×c = 18a × 2bc

54ad = 2×3×3×3×a×d = 18a × 3d

HCF = 2×3×3×a = 18a

Step 2: Factor out with HCF

18a(2bc + 3d)

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What is the area of this figure? Round to the tenth if necessary.

Julli [10]

Answer:

<h3>b) 850.1 centimeters.</h3>

Step-by-step explanation:

To find the area of this figure, we must first find the areas of the shapes that compose this figure.

This figure is made up of a rectangle and a semicircle.

Remember: To find the area of a semicircle, multiply the radius by itself twice, then multiply the product pi, lastly divide the product by 2.

$a=\pi r^2/2$

To find the area of a rectangle, multiply the length by the width. The product is the area of the rectangle.

$a=lw$

Now, let's solve.

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To find the radius of a semicircle, divide the diameter by 2.

$32/2=16$

The radius of the semicircle is 16 centimeters.

Now that we have the radius, we can find the area of the semicircle.

$\pi 16^2/2=401.92$

The area of the semicircle is 401.92 centimeters.

Furthermore, we find the area of the rectangle.

$14*32=448.$

The area of the circle is 448 centimeters.

Next, we add the areas of both shapes to find the area of this figure.

$401.92+448$

$=849.92$

The final step is to round 849.92 to the nearest tenth.

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I, therefore, believe the area of this figure is 850.1 centimeters.

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2 years ago

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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