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horsena [70]
2 years ago
11

3. Luis wants to calculate the volume of his globe. The globe is in the shape of a sphere, as represented in

Mathematics
1 answer:
Aloiza [94]2 years ago
8 0

The measure which is closest to the volume of Luis's globe is; 6301.2in³

<h3>Volume of a sphere</h3>

If the circumference of the globe along the equator is 72inches along the equator;

  • C = 72 = 2π× r

Hence, the radius of the globe can be evaluated as;

  • r = 72/(2×3.14)

  • r = 72/6.28

r = 11.46in.

On this note, the Volume, V of the globe is;

  • V = (4/3) × π × r³

  • V = (4/3) × 3.14 × 11.46³

V = 6301.2in³

Read more on volume of a sphere;

brainly.com/question/22807400

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maria [59]

Answer:

25

Step-by-step explanation:

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8 0
4 years ago
The quotient of three times a number and 4 is at least -16.
dimaraw [331]

Answer:

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8 0
3 years ago
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astraxan [27]
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dusya [7]

Answer:

x=2

Step-by-step explanation:

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3 0
3 years ago
Arrange the steps in the correct order to express cos3x in terms of cosx
ziro4ka [17]

The correct order to express cos3x in terms of cosx is; As shown in steps 1 to 9 below.

<h3>How to simplify Trigonometric Identities?</h3>

The steps to simplify the trigonometric identities cos 3x in terms of cos x are as follows;

Step 1; cos x = cos(2x + x)

Step 2; cos(2x) cosx - sin(2x) sinx

Step 3; 1 - 2sin^2x(cosx) -(2sinxcosx)sinx

Step 4; cosx - 2sin²x cosx - 2sin²x cosx

Step 5; cosx - 4sin²x cosx

Step 6; cosx( 1 - 4sin²x)

Step 7; cosx{1 - 4(1 - cos²x)}

Step 8; cosx{-3 + 4cos²x}

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Read more about Trigonometric Identities at; brainly.com/question/7331447

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