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asambeis [7]
3 years ago
11

A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet i

s 2 feet wide. What is the area of the reduced carpet
Mathematics
2 answers:
saw5 [17]3 years ago
8 0
6 feet because 8 / 12 reduces to 2 / 3 and you multiply 2 times 3
PolarNik [594]3 years ago
8 0
Hi there.

So, we've got the dimensions. 

<em>l</em> = 12, <em /><em>w</em> = 8

We know that the width has been divided by 4. That means we also divide the length by 4. This gives us the new dimensions of:

<em>l</em> = 3, <em>w</em> = 2

A = <em>lw</em> 

3 · 2 = 6 ft²

Cheers~


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Express 150 as a product of PRIME FACTORS.<br>Answer:​
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Answer:

Step-by-step explanation:

150=2X3X5X5\\ \\ 150=2(3)5^2

6 0
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A surveyor standing on top of a cliff found that the angle of depression of a boat as sea is 22°. if the top of the cliff is 15m
Alex73 [517]

Answer:

From the photo above i interpreted the question and drew a triangle to make it easier to solve

Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)

Tan θ =Opp/Adj

Tan 22°=15/a

Cross Multiply

aTanθ=15°

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5 0
3 years ago
-7a-10=20-3a please show work help
olga_2 [115]
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-4a -10 = 20
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7 0
3 years ago
LCM of two numbers is 1134 and HCF is 18. if one of the numbers is 162, find the other. number.<br>​
Brilliant_brown [7]
<h3>Answer:  126</h3>

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

Work Shown:

Let x and y be the two numbers.

We're given x = 162 and the variable y is unknown.

We're also given LCM = 1134 and HCF = 18

So,

LCM = (x*y)/HCF

1134 = 162*y/18

1134 = (162/18)y

1134 = 9y

9y = 1134

y = 1134/9

y = 126

The other number is 126

---------------------

Notice that

  • 162 = 18*9
  • 126 = 18*7

showing that 18 is the highest common factor (HCF) of the numbers 162 and 126. This partially confirms the answer.

Now let,

  • A = multiples of 162
  • B = multiples of 126

So,

  • A = 162, 324, 486, 648, 810, 972, 1134, 1296, ...
  • B = 126, 252, 378, 504, 630, 756, 882, 1008, 1134, 1260, ...

We see that 1134 is in each list of multiples and the smallest such common item. So the lowest common multiple (LCM) of 162 and 126 is 1134. This helps fully confirm the answer.

7 0
2 years ago
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