The area of the diagonal section of a cube is equal to 36Ì2. Determine the edge and the diagonal of the cube.? please help me thank you :)

Answers

Answer 1

Answer: The answer is the edge of the cube is 6 and the diagonal of the cube is 6√3

The diagonal section of a cube is a rectangle with sides a and x, where a is the edge of the cube, and x is a diagonal of a side of the cube. Therefore, the area of a diagonal section (A) is:
A = a * x
Now, a = ? and x = ?, but we know that the side of the cube is square and its diagonal is x = a√2.

So, we have:
A = 36√2
a = ?
x = a√2

Let's substitute all parameters in the formula for the area:
A = a * x
36√2 = a * a√2

Divide both sides by √2:
36 = a * a
36 = a²
⇒ a =√36 = 6

The diagonal of the cube can be calculated by using the formula: d = a√3
Since a = 6, then:d = 6√3

Therefore, the edge of the cube is 6 and the diagonal of the cube is 6√3.

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Answers

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Answers

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What is the solution to the system of equations? Use the substitution method.y=3x-4
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A. There is no solution
B. (12, 14)
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Answers

{ y = 3 x - 4
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Subsititute y = 3x-4 :

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9 x - 3 ( 3 x - 4 ) = 14

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Answer A

hope this helps!

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Answers

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Answers

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what multipies to -12 and add to -4
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set to zero
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a. Direct variation; y=40x
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c. Inverse variation; xy=40
d. Inverse variation; xy=1/40

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Answers

x =   1, 2, 5, 10
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b) y = (1/40)x ;
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c) xy = 40 ⇒ y = 40/x
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y = 40/5 = 8 ; y = 40/10 = 4

Inverse variation. Choice C. xy = 40  is the correct answer.

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