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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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labwork [276]
The next four terms in the sequence are a + 6, a + 10, a + 14, a + 18. This is because you are adding 4 to what is being done to “a” each time. If you look at the pattern, you’ll see that 4 is being added and the “a” stays the same.
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3 years ago
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Vlad [161]

The single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation

<h3>How to determine the transformation?</h3>

From the figure, we have:

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This means that:

The scale of dilation from shape A is:

k = 1/2

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2 years ago
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Line l is perpendicular to line m with equation 2x + 5y = 20. line l intersects line m at (-5,6).
VladimirAG [237]

Answer:

The equation is y = -2/5x + 4

Step-by-step explanation:

First we have to find the slope of the line. In order to do so, solve the first equation for y.

2x + 5y = 20

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y = -2/5x + 4

This gives us a slope of -2/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.

y - y1 = m(x - x1)

y - 6 = -2/5(x - -5)

y - 6 = -2/5(x + 5)

y - 6 = -2/5x - 2

y = -2/5x + 4

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3 years ago
Rewrite in interval notation:<br> all real numbers that are greater than -22,
Naily [24]

Answer:

Step-by-step explanation:

all real numbers that are greater than -22 : x >  -22

interval notation: ]- 22 ; + ∞  [

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3 years ago
What is 45.00 divided by 3%
Elena-2011 [213]

Answer:

The answer is 1500.

Step-by-step explanation:

To solve this problem you should change 3% to a decimal. We do this by moving the decimal 2 places to the left. The decimal form of 3% is 0.03. We then have to divide 45/0.03 in order to get our answer.

I hope this helped :)

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3 years ago
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