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3 years ago

14

How many square feet of paper do you need to cover a cube with a side 10 in. long? Round your answer to two decimal places.

2 answers:

Savatey [412]3 years ago

7 0

$10 in = 0.83 ft= \frac{5}{6} ft\\
A=6* (\frac{5}{6}) ^{2}=4.17$

So the answer is A. 4.17 sq ft.

exis [7]3 years ago

6 0

Answer: A. 4.17 sq ft

Step-by-step explanation:

The total surface area of cube is given by :_

$T.A.=6(side)^2$

Given: The side of cube = 10 in.

We know that 1 feet = 12 inch

∴ $1\ in.=\frac{1}{12}\ ft$

Therefore, the side of cube = $10\times\frac{1}{12}\ ft=\frac{10}{12}\ ft$

Then the total surface area of cube is given by :_

$T.A.=6(\frac{10}{12})^2\\\\=6(\frac{100}{144})\\\\=4.16666666667\approx4.17\ sq\ ft$

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3 years ago

Read 2 more answers

grin007 [14]

Answer:

x = -1 , y = -4 , z = -4

Step-by-step explanation:

Solve the following system:

{-x - 5 y + z = 17 | (equation 1)

-5 x - 5 y + 5 z = 5 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Swap equation 1 with equation 2:

{-(5 x) - 5 y + 5 z = 5 | (equation 1)

-x - 5 y + z = 17 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Subtract 1/5 × (equation 1) from equation 2:

{-(5 x) - 5 y + 5 z = 5 | (equation 1)

0 x - 4 y+0 z = 16 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Divide equation 1 by 5:

{-x - y + z = 1 | (equation 1)

0 x - 4 y+0 z = 16 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Divide equation 2 by 4:

{-x - y + z = 1 | (equation 1)

0 x - y+0 z = 4 | (equation 2)

2 x + 5 y - 3 z = -10 | (equation 3)

Add 2 × (equation 1) to equation 3:

{-x - y + z = 1 | (equation 1)

0 x - y+0 z = 4 | (equation 2)

0 x+3 y - z = -8 | (equation 3)

Swap equation 2 with equation 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x - y+0 z = 4 | (equation 3)

Add 1/3 × (equation 2) to equation 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y - z/3 = 4/3 | (equation 3)

Multiply equation 3 by 3:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y - z = 4 | (equation 3)

Multiply equation 3 by -1:

{-x - y + z = 1 | (equation 1)

0 x+3 y - z = -8 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Add equation 3 to equation 2:

{-x - y + z = 1 | (equation 1)

0 x+3 y+0 z = -12 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Divide equation 2 by 3:

{-x - y + z = 1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Add equation 2 to equation 1:

{-x + 0 y+z = -3 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Subtract equation 3 from equation 1:

{-x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Multiply equation 1 by -1:

{x+0 y+0 z = -1 | (equation 1)

0 x+y+0 z = -4 | (equation 2)

0 x+0 y+z = -4 | (equation 3)

Collect results:

Answer: {x = -1 , y = -4 , z = -4

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A scale drawing of a living room is shown below 5.5 inches and 3 inches scale 1:30 what is the area of the actual living room? R

Ostrovityanka [42]

Answer:

<em>14850 inches</em>

Step-by-step explanation:

The complete question is...

A scale drawing of a living room is shown below:

A rectangle is shown. The length of the rectangle is labeled 5.5 inches. The width of the rectangle is labeled 3 inches. The scale is 1 to 30.

What is the area of the actual living room in square feet? Round your answer to the nearest whole number.

The ratio of the scale = 1:30

This means that the dimensions of the drawing has been reduced to 1/30 of the actual building's dimensions.

We first scale up the drawing to 30 times to get the dimensions of the actual building.

The length on the drawing = 5.5 inches

The real length of the actual building = 5.5 x 30 = 165 inches

The width of the drawing = 3 inches

The width of the actual building = 3 x 30 = 90 inches

The area of the actual building = length x width

==> 165 x 90 = <em>14850 inches</em>

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2 years ago

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To solve the problem shown above, you must follow the proccedure shown below:

1. By definition, Completary angles are those angles whose sum is 90 degrees and Suplementary angles are those angles whose sum is 180 degrees.

2. Keeping the information above on mind, you have:
<span>
(a) An angle measures 43 . What is the measure of its complement?

=90°-43°
=47°

(b) An angle measures 81 . What is the measure of its supplement?
</span>
=180°-81°
=99°

The answers are:

a) 47°
b) 99°

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2 years ago

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cupoosta [38]

Answer:

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Step-by-step explanation:

lets do a table!

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2 years ago