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zlopas [31]
3 years ago
15

the length of a rectangle is equal to triple the width.if the perimeter of the rectangle is 86cm,determine the length and the wi

dth
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0

Answer:

length of rectangle = 32.25 cm

  Width of rectangle = 10.75 cm

Step-by-step explanation:

Let the length of rectangle be x.

And width of rectangle be y.

According to the problem,

x = 3y    {Since the length of a rectangle is equal to triple the width}

Also,

Perimeter of rectangle = 86

or 2 (x + y) = 86

Plug x =3y in the above equation

We get,  2(3y + y) = 86

    2 * 4y = 86

     4y = 43

      y = 43/4 = 10.75

So, length of rectangle = 3 * 10.75 = 32.25cm

  Width of rectangle = 10.75cm

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Svet_ta [14]

Answer:

0.681818

Step-by-step explanation:

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3 years ago
Lake Michigan's volume is approximately 1,180 cubic miles and its surface area is approximately 14,332,090 acres. The 2015 water
galben [10]

Answer:

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

         = 624,305,840,400 \times  0.9167  

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c.) the percentage change in the lake volume over that year

      = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

      =  0.0033

      = 0.33%

Step-by-step explanation:

i) acres to square feet :    1 acre = 43560 square feet

  therefore 14,332,090 acres  = 624,305,840,400 square feet

ii) 1 mile  = 5280 feet

   1 cubic mile  = 5280 \times 5280 \times 5280 = 147,197,952,000 cubic feet

therefore 1180 cubic miles  = 173,693,585,360,000 cubic feet

a.)   depth of the lake = (volume of the lake) / area of lake

            = 173,693,585,360,000 / 624,305,840,400  = 278.22 feet

b.) 11 inches  = 0.9167 feet

    Water gained in cubic feet gained by the lake

    = 624,305,840,400 \times  0.9167   = 572,282,434,719.5 cubic feet

c.) the percentage change in the lake volume over that year

  = 572,282,434,719.5 cubic feet / 173,693,585,360,000 cubic feet

   =  0.0033

  = 0.33%

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