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dezoksy [38]
4 years ago
6

Help please!!!!!! How does proving theorems extend understanding of Geometry?

Mathematics
1 answer:
Brilliant_brown [7]4 years ago
7 0

Answer: proving the different relationships help basic concept

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9 out of 12 is what percent?
Alina [70]

Answer:

9 out of 12 is 75%

Step-by-step explanation:

you would divide 9 by 12, and your answer would be:

1) 0.75 for decimal form

2) 75% for percentage

3) 3/4 for fraction

3 0
3 years ago
The area of an equilateral triangle is LaTeX: 108\sqrt[]{3}\:ft^2 108 3 f t 2 . What is the length of one side of the triangle?
Temka [501]
The length of one side is 12√3.

We know that the area of a triangle is given by the formula:

A=1/2(b)(h)

We can substitute the area in:
108√3 = 1/2(b)(h)

Let b be the side of the equilateral triangle.  To find the height, we will use the Pythagorean theorem.  We know that the height bisects the base, so we will call that leg of the right triangle formed (1/2b).  Since the triangle is equilateral, we will call the hypotenuse b as well.  We now have:

(\frac{1}{2}b)^2+h^2=b^2
\\
\\\frac{1}{4}b^2+h^2=b^2
\\
\\\frac{1}{4}b^2+h^2-\frac{1}{4}b^2=b^2-\frac{1}{4}b^2
\\
\\h^2=\frac{3}{4}b^2
\\
\\\sqrt{h^2}=\sqrt{\frac{3}{4}b^2}
\\
\\h=\frac{\sqrt{3}}{2}b

We will now substitute this in the formula for area we had above:
108√3=(1/2)(b)(√3/2b)
108√3=√3/4b²

Multiply both sides by 4:
(108√3)×4=(√3/4b²)×4
432√3=√3b²

Divide both sides by √3:
432√3/√3 = √3b²/√3
432=b²

Take the square root of both sides:
√432=√b²

Simplifying the radical, we have 12√3.
7 0
4 years ago
Someone help !!! ASAP! I’ll give brainliest! Please and ty!!
soldier1979 [14.2K]

Answer:

the answer is 144 folders

Step-by-step explanation:

you have to convert the ft of the file cabinet to inches. so the cabinet is 12 in wide, 36 in deep and 36 in tall. the volume of it is 15,552 cu in. each folder is 108 cu in. divide 15,552 by 108 = 144 folders can fit in the cabinet. sorry my pic is messy.

5 0
3 years ago
Click on the picture to see my question please and thanks
Setler [38]
It would be D………………………….,
5 0
3 years ago
Expand to write an equivalent expression: -1/4(-8x+12y)
kaheart [24]

Answer:

Step-by-step explanation:

-1/4(-8x+12y)

-1*(-8x+12y)/4

8x-12y/4

4(2x-3y)/4(4 and 4 gets cancel)

2x-3y

4 0
3 years ago
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