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3 years ago

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Mathematics

1 answer:

Novay_Z [31]3 years ago

5 0

Answer:

SA = 108π cm²

Step-by-step explanation:

The surface area (SA) of a sphere is calculated as

SA = 4πr² ( r is the radius )

Thus the SA of a hemisphere is

SA = $\frac{1}{2}$ × 4πr² = 2πr²

The area of the circular base = πr²

Then total SA is

SA = 2πr² + πr² = 3πr² = 3π × 6² = 3π × 36 = 108π cm²

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Find the number of sides for a regular polygon whose interior angles each measure 10 times each exterior angle

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Answer:

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Step-by-step explanation:

The expression to find an interior angle of a polygon is:

$\frac{(n-2)*180}{n}$

The expression to find an exterior angle of a polygon is:

$\frac{360}{n}$

Please note that "n" represents the number of sides the polygon has.

We can use these two expressions to set up an equation.

$\frac{(n-2)*180}{n}=10(\frac{360}{n})$

Multiply both sides by "n":

$(n-2)*180=10n(\frac{360}{n})$

Now, distribute:

$180(n)-180(2)=\frac{3600n}{n}\\180n-360=3600$

Divide both sides by 10:

$\frac{180n}{10}-\frac{360}{10}=\frac{3600}{10}\\$

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Add 36 to both sides:

$18n=360+36\\18n=396$

Divide both sides by 18:

$n=22$

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3 years ago

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Answer:

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Step-by-step explanation:

This method is probbaly working backwards. I'm not sure.

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Answer ASAP for brainlest

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Answer:

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Step-by-step explanation:

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