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viktelen [127]
3 years ago
8

Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 14 inches by 11 inches

by 13 inches. She has 1 square yard of fabric. Can she completly cover the footrest
Mathematics
1 answer:
kati45 [8]3 years ago
7 0

Answer:

Since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.

Step-by-step explanation:

Since Alicia wants to cover a footrest in the shape of a rectangular prism with cotton fabric, and the footrest is 14 inches by 11 inches by 13 inches while she has 1 square yard of fabric, to determine if she can she completly cover the footrest the following calculation must be performed:

1 square yard = 1296 square inches

14 x 11 x 13 = X

154 x 13 = X

2.002 = X

2.002 / 1.296 = 1.54

Thus, since the footrest measures 1.54 square yards, Alice will not be able to cover it completely.

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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

  • 8a₈ = 12a₁₂
  • d = -2,
  • a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

  • a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
  • a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

  • 8(a₁ - 14) = 12(a₁ - 22)
  • 2(a₁ - 14) = 3(a₁ - 22)
  • 2a₁ - 28 = 3a₁ - 66
  • 3a₁ - 2a₁ = -28 + 66
  • a₁ = 38
6 0
3 years ago
The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Wire and solve an al
Dmitry_Shevchenko [17]
Hey there,
Length = 4x
Width = 3x
Perimeter = 112 inches
4x + 3x + 4x + 3x = 112 inches
14x = 112 inches
x = 112 inches / 14
   = 8 inches
Length = 8 inches x 4
            = 32 inches
Width = 8 inches x 3
          = 24 inches

 Hope this helps :))

<em>~Top♥</em>
5 0
3 years ago
Read 2 more answers
Pls help :) i will be very happy
Veronika [31]
Https://www.calculatorsoup.com/calculators/math/fractionscomparing.php
8 0
3 years ago
Find the 55th term in the following<br> arithmetic sequence :<br> -102, -98, -94, -90, ...
Harman [31]

Answer: It’s...

Step-by-step explanation: All of these numbers are going backwards by -4. Just keep subtracting. But then again, it will take you ages. So... try multiplying 51 by -4. Then -86 - whatever total you got. I have no clue if this will help. Is this even an assignment for you or a trick question?

4 0
3 years ago
For this set of data,<br> 89, 88, 84, 87, 89, 84, 84, 83, 85, 89, 84<br> Find the standard deviation
Ilia_Sergeevich [38]

Answer: 2.2962419891482

Step-by-step explanation: First get the mean of the numbers or the average

the mean in this case is 86

then subtract each number by the mean of 86

the numbers then become : 3, 2, -2, 1, 3, -2, -2, -3, -1, 3, -2

then square all the numbers to get : 9, 4, 4, 1, 9, 4, -4, 9, 1, 9, 4

then find the mean of those numbers which is 5.2727272727273

then find the square root of this number to find the standard deviation

2.2962419891482 is the standard deviation

hope this helps mark me brainliest if it helped

6 0
3 years ago
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