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garik1379 [7]
4 years ago
10

a square has an area of 81 square feet. what is the length of each side of the square?Explain how you know.

Mathematics
1 answer:
liberstina [14]4 years ago
3 0
With a square, you know all sides will be the same, so the area (81 feet) divided by 4 sides equals 20.25 square feet. 
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The distance is<u>  4.726 </u>

Step-by-step explanation:

we need to find the distance from the point to the line

Given:- point (-1,-2,1) and line ; x=4+4t, y=3+t, z=6-t .

used formula d=\frac{|a\times b|}{|a|}

Let point P be (-1,-2,1)

using value t=0 and t=1

The point Q (4 , 3, 6) and R ( 8, 4, 5)

Let a be the vector from Q to R :   a = < 8 - 4, 4 - 3, 5 - 6 > = < 4, 1, -1 >

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The cross product of a and b is:

a \times b= \begin{vmatrix} i & j & k\\ 4 &1&-1\\-5 &-5&-5\\ \end{vmatrix}

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The distance is : d=\frac{\sqrt{(-6)^{2}+(15)^{2}+(-15)^{2}}}{\sqrt{(4)^{2}+(1)^{2}+(-1)^{2}}}

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Therefore, the distance is<u>  4.726 </u>

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