Answer:
See below ~
Step-by-step explanation:
<u>Sin A</u> : opposing side of ∠A / hypotenuse
<u>Sin C</u> : opposing side of ∠C / hypotenuse
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<u>Cos A</u> : adjacent side of ∠A / hypotenuse
<u></u>
<u>Cos C</u> : adjacent side of ∠C / hypotenuse
According to the basic trigonometric equation for right angle triangles:
Sin(x) = opp/hyp
so...
Sin(60) = 4(sqrt(3))/x
x = 4(sqrt(3))/sin(60)
x = 6.928.../0.866...
x = 8
We know that perpendicular lines have slopes which are negative inverses of each other. This means that the slope of the line we are going to need to find is 3.
Now, we can use the point-slope formula to find the actual equation of the line we are trying to find. The point-slope formula is

, where

and

are the coordinates of a point on the line and m is the slope.
Thus, the equation of the line we are trying to find is:
(y - 7) = 3(x - 2)
y - 7 = 3x - 6
y = 3x + 1
However, this is not an answer choice. The answers given have the constant on the right side of the equation. Thus, we will make our answer have the constant on the right side:
y - 3x = 1
-3x + y = 1
3x - y = -1
This is an answer choice.
B, or
3x - y = -1 is the correct answer.
Since each edge's length is x, each face's are would be

And cubes have 6 faces. multiply 6 by

, the formula is :
Answer:
welp this is what i found
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And this is the answer
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