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pogonyaev
3 years ago
9

PLEASE HELP

Mathematics
1 answer:
ZanzabumX [31]3 years ago
6 0

Answer:

p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original.  More

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A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice th
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The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

Step-by-step explanation:

let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

D = \sqrt{l^2+w^2}                              ......[1]

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\sqrt{(2w)^2+w^2} = w+5

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Simplify:

w^2-w-1 =0                         ......[2]

The quadratic equation is in the form  of ax^2+bx+c = 0

the solution is given by:  x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}

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a= 1 , b = -1 and c = -1

Then the solution is:

w= \frac{-(-1) \pm\sqrt{(-1)^2-4(1)(-1)}}{2(1)}

w =\frac{1 \pm\sqrt{1+4}}{2} = \frac{1 \pm\sqrt{5}}{2}

Simplify:

w \approx 1.62 and w \approx -0.62

Then, the diagonal D = w+2

For w \approx 1.62

D = 1.62 +2 \approx 3.62

For w \approx -0.62

D =-0.62 +2 \approx 1.38

therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4





5 0
3 years ago
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