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amm1812
3 years ago
11

Sue is upholstering a rectangular ottoman that measures 21 centimeters by 18 centimeters by 15 centimeters. What will be the tot

al square centimeters of fabric that Sue must use to cover all faces of the ottoman?
Mathematics
1 answer:
Anika [276]3 years ago
6 0

Answer:

1926cm²

Step-by-step explanation:

Given

Dimension = 21cm by 18cn by 15cm

<em>The illustration in this question is to determine the surface area of the fabric and this is calculated using the surface area of a cuboid as follows:</em>

<em></em>

Surface\ Area =2(LB + LH + BH)

Where L, B and H are the dimensions.

So,

Surface\ Area = 2(21 * 18 + 21 * 15 + 18 * 15)

Surface\ Area = 2(378 + 315 + 270)

Surface\ Area = 2(963)

Surface\ Area = 2 * 963

Surface\ Area = 1926cm\²

<em>Hence, 1926 cm² of fabrics are needed to cover all surfaces.</em>

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At the movie theatre, child admission is $5.10 and adult admission is $9.00 .
sveticcg [70]

Answer:

5.10 X +9.00 Y = 831.60

We also know that for Wedneday we have two times tickets for adults compared to child so we have

Y =2x

And using this condition we have:

5.10 X + 18 X = 831.60

And solving for X we got:

X= \frac{831.60}{23.1}=36

So then the number of tickets sold for child are 36

Step-by-step explanation:

For this problem we can set upt the following notation

X = number of tickets for child

Y= number of tickets for adults

And we know that the total revenue  for Wednesday was 831.60. So then we can set up the following equation for the total revenue

5.10 X +9.00 Y = 831.60

We also know that for Wedneday we have two times tickets for adults compared to child so we have

Y =2x

And using this condition we have:

5.10 X + 18 X = 831.60

And solving for X we got:

X= \frac{831.60}{23.1}=36

So then the number of tickets sold for child are 36

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3 years ago
What's the ratio of 75 to 80?
oksano4ka [1.4K]

Answer:

75:80   OR    15:16

Step-by-step explanation:

7 0
3 years ago
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2 years ago
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A dog trainer has 104 ft of fencing that will be used to create a rectangular work area for dogs. If the trainer wants to enclos
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Answer:

  36 ft by 16 ft

Step-by-step explanation:

To solve this problem, you need to find dimensions of a rectangle such that the perimeter is 104 ft and the area is 576 ft. The perimeter is twice the sum of length and width, so the sum of length and width is 52 ft.

The area is the product of length and width, so if w represents the width, we have ...

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  w² -52w = -576 . . . . . eliminate parentheses, multiply by -1

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  w = 26 ±√100 =  {16, 36}

If the width is the short dimension, it is 16 feet. Then the length is 36 feet.

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3 years ago
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