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Vedmedyk [2.9K]
3 years ago
6

If the total surface area of a cube is 302.46ft2 what best describes the length of the side of the cube?​

Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

7.1ft

Step-by-step explanation:

The formula for calculating the total surface area of a cube is 2(L²+L²+L²)

=2(3L²)

= 6L²

Where L is the length of the cube

If the total surface area of a cube is 302.46ft², then

302.46 = 6L²

L² = 302.46/6

L² = 50.41

L =√50.41

L = 7.1ft

The length of the side of the cube is 7.1ft

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Pls help with Trigonometric
Sav [38]

The value of the given trigonometry function is 2√15/15

<h3>Half angles</h3>

Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.

For instance the value of cos theta is expressed as shown below;

cosФ = cos(Ф/2+Ф/2)

cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ  = 1 - 2cos²Ф/2

Given the following parameters

cosФ = -7/15

Substitute

cosФ  = 1 - 2cos²Ф/2

-7/15  = 1 - 2cos²Ф/2

-2cos²Ф/2 = -7/15 - 1

-2cos²Ф/2 = -8/15

cos²Ф/2 = 4/15
cosФ/2 = 2/√15

Rationalize

2/√15 * √15/√15

2√15/15

Hence the value of the given trigonometry function is 2√15/15

Learn more on trigonometry function here: brainly.com/question/2254074

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8 0
1 year ago
Solve 5r2 – 12 = 68. {±4} {±5} {±3} {±6}
sashaice [31]

Hey there!

Assuming you meant

5r^2 - 12 = 68

If so, follow these steps so it can be a little bit easier to solve

Firstly, we have to add by 12 on each of your sides

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5r^2 = 5r^2 \\ \\ 68 + 12 = 80

We get: 5r^2 =80

Now, we have divide by 5 on each of your sides

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We get: r^2 = 16

r = ± \sqrt{16}

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Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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3 years ago
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4 years ago
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3 years ago
Let f(y) = y^4 - 3y^3 + y - 3 and g(y) = y^3 + 7y^2 - 2. Find f(y) + g(y). Write your answer as a polynomial with terms of decre
Anarel [89]
<h3>Answer:   y^4 - 2y^3 + 7y^2 + y - 5</h3>

Work Shown:

h(y) = f(y) + g(y)

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