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Crazy boy [7]
3 years ago
8

How many sides does a polygon have if the sum of its angle measures is 2700 degrees and how do you find this?

Mathematics
2 answers:
grandymaker [24]3 years ago
8 0
the\ sum\ of\ angle\ measures\ is\ 2700^0\\\\(n-2)\cdot180^0=2700^0\\n-the\ number\ of\ the\ sides\ of\ the\ polygon\\\\n-2= \frac{2700}{180} \ \ \ \Rightarrow\ \ \ n-2=15\ \ \ \Rightarrow\ \ \ n=17\\\\Ans.\ 17\ sides\ of\ the\ polygon.
ss7ja [257]3 years ago
6 0
The number of angles equal the number of sides


The number of angles calculate: (n-2)x180°

(n-2)x180°=2700°    |divide both sides by 180°

n-2=15    |add 2 to both siedes

n=13

Answer: 13 sides.


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satela [25.4K]
<h2>Volume of Sphere</h2>

1. What is the radius of the stone sphere?

- To know what is the radius divide is by 2.

  • \large \tt 6 \div 2 = 3

Therefore, the radius of the stone sphere is 3in

2. What is the volume of the stone sphere?

- Using the formula in finding the Volume of Sphere \tt V = \frac{4}{3}\pi r^3 to get the answer. Where the volume of the sphere is \tt\frac{4}{3}\:\:\:\:\pi multiplied by the cube of the radius.

  • \tt V = \frac{4}{3}\pi r^3
  • \tt V = \frac{4}{3}\times 3.14\times 3in^3
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Therefore, the volume of the stone sphere is 113.04in³

3. Another stone sphere for the garden has a diameter of 10 inches. What is the volume of the stone sphere? Use 3.14 for <em>π</em>, and round to the nearest hundredth.

- Using the formula in finding the Volume of Sphere \tt V = \frac{4}{3}\pi r^3 to get the answer. Where the volume of the sphere is \tt\frac{4}{3}\:\:\:\:\pi multiplied by the cube of the radius.

  • \tt V = \frac{4}{3}\pi r^3
  • \tt V = \frac{4}{3}\times 3.14\times 5in^3
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<h3>Explanation</h3>

Therefore, the volume of the stone sphere is 523.33in³

<h3>#CarryOnLearning</h3>
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