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hodyreva [135]
3 years ago
12

The perimeter of a rectangle is 52. The length of the rectangle is six less than the width. Find the length and width of the rec

tangle
Mathematics
1 answer:
devlian [24]3 years ago
3 0

Create expressions for the length and width of the rectangle.

  • length (l): x - 6
  • width (w): x

Perimeter: 2l + 2w

Substitute (x - 6) for l and (x) for w.

  • 52 = 2(x - 6) + 2(x)

Distribute 2 inside the parentheses.

  • 52 = 2x - 12 + 2x

Combine like terms.

  • 52 = 4x - 12

Add 12 to both sides.

  • 64 = 4x

Divide both sides by 4.

  • x = 16

Substitute 16 for x into the length and width of the rectangle.

  • length: (16) - 6 = 10
  • width: (16) = 16
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A stack of bricks is 3 1/2 feet high. If each brick is 1 3/4 inches high, how many bricks are in the stack?
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3 years ago
Alan needs to manufacture a circular metal plate with a perimeter of `10pi` centimeters. If the allowed error tolerance in the p
AnnZ [28]

The ideal radius Alan must control is \frac{1}{2\pi } cm.

<h3>Define perimeter of circle.</h3>

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The area of a circle determines the space it takes up. A circle's diameter is equal to the length of a straight line traced through its center. Usually, it is stated in terms of units like cm or m.

Given data -

Perimeter of circular plate = 10\pi cm

We know that perimeter of a circle is 2\pir

Therefore   10\pi = 2\pir

r = 5 cm

The given error Alan can make is +-1 cm.

Minimum radius is given by

2\pir = 10\pi - 1

r = \frac{10\pi - 1 }{2\pi }

r = 5 - \frac{1}{2\pi }

Maximum radius is given by

2\pir = 10\pi + 1

r = \frac{10\pi + 1 }{2\pi }

r = 5 + \frac{1}{2\pi }

The ideal radius Alan must control is \frac{1}{2\pi } cm.

To know more about perimeter of circle, visit:

brainly.com/question/2718232

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5 0
1 year ago
1. Solve for x 3(x-6)+24=50+4(x+10)
MA_775_DIABLO [31]
X=-84. 3(x-6)+24=50+4(x+10)
distrubute. 3x-18+24=50+4x+40
move terms. 3x+6=90+4x
collect like terms 3x-4x=90-6
subtract -x=84
divide by -1. x=-84
3 0
3 years ago
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