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miss Akunina [59]
3 years ago
9

A rectangular yard is 20 yards wide and 40 yards long. It is surrounded by a thick hedge that grows on the border of the propert

y, but completely within the boundaries of the yard. If the hedge covers an area of 171 square yards, what is the width of the hedge?
Mathematics
1 answer:
borishaifa [10]3 years ago
7 0

Answer:

W_{h}= 4.275yd

Step-by-step explanation:

Data

wide=20yd

length=40yd

Hedge area  A_{h}=171yd^{2}

If the area of rectangle is A=base * hight and our case L*W. then:

A_{h}=171yd^{2}=40yd*W_{h}

So W_{h}=\frac{A_{h} }{L} =171yd^{2}/40yd=4.275yd

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Step-by-step explanation:

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3 years ago
EFV and EDW are straight lines.<br>Find the value of x and of y.​
Makovka662 [10]

Answers:

x = 72

y = 83

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

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

  • E = x
  • F = 130
  • G = 170
  • H = 65
  • D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

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

Now focus your attention on triangle THS

We see that the interior angles are

  • T = y
  • H = 65
  • S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0
3 years ago
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
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Answer: 12

Step-by-step explanation:

You can multiply by 12 because to get rid of the fractions all terms should be divided by the LCM (ie the smallest multiple that is exactly divisible by 2, 4 and 3)

Multiples of 3 = 3, 6, 9, 12

Multiples of 4 = 4, 8, 12, 16

Multiples of 2 = 2, 4, 6, 8, 10, 12

Therefore the fractions should be multiplied by 12

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2 years ago
Read 2 more answers
Can someone please help me on number 2 please
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