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3 years ago

Simplify: 81

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Mathematics

1 answer:

devlian [24]3 years ago

3 0

Answer:

81 1/2 = 163/2

or is it 81 rasied to the 1/2 power?

in this case it would be the squareRoot(81) = 9

Step-by-step explanation

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if Mr. arenth wants to put new carpeting in the room shown, how many square feet should he order L= 14ft. W = 6c-8ft. L= 5+3c ft

lubasha [3.4K]

By definition, the area is given by:

$A = w * l$

Where,

w: width

l: length

We have two expressions for the length:

$L = 14\\L = 5 + 3c$

Since the length is the same, we equate both expressions:

$5 + 3c = 14$

From here, we clear the value of c:

$3c = 14 - 5\\3c = 9$

$c = \frac{9}{3}\\c = 3$

Then, we have that the width is given by:

$W = 6c-8$

Substituting the value of c we have:

$W = 6 (3) -8\\W = 18-8\\W = 10$

Finally, the area is given by:

$A = w * l\\A = 10 * 14\\A = 140 ft ^ 2$

Answer:

he should order 140 square feet

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3 years ago

Find the volume of the composite solid. Round your answer to the nearest tenth

Vesna [10]

Answer:

V = 1206.3 $ft^{3}$

Step-by-step explanation:

This shape is made up of a cylinder on the bottom and a cone on the top. We'll find the volumes of these shapes separately and then add them together.

Volume of a cylinder = area (of the base) x height

Substitute in the formula for the area of a circle.

V(cylinder) = $\pi$ $r^{2}$ x h

Substitute in the values for the radius (8) and height (4)

V(cylinder) = $\pi$ x $8^{2}$ x 4

Evaluate using a calculator

V(cylinder) = 804.2477

To the nearest tenth, V(cylinder) = 804.2

Volume of a cone = $\frac{\pi r^{2}h }{3}$ . This is the area of the circular part of the cone ( $\pi r^{2}$ ), multiplied by the height from the point to the base, all divided by 3.