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Colt1911 [192]
3 years ago
9

How many sides does a regular polygon have with one central of 18 degrees?

Mathematics
1 answer:
Natalka [10]3 years ago
7 0
All of the centra angles in a regular polygon must add up to 360 degrees. Also, because you're told that it is a regular polygon, the "regular" indicates that all of the central angles will be the same. Divide 360 degrees by 18 degrees to get the number of central angles, which is the same as the number of sides. 360/18 = 20. Therefore, the polygon has 20 sides. Hope that helps!
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Find a number that has exactly 7 different prime factors. Explain how you found it.
igomit [66]
The first seven prime numbers are 2, 3, 5, 7, 11, 13, 17
If you multiply all those numbers together, you'll have a product with 7 different prime factors (each of the numbers you multiplied).
So, 2 x 3 x 5 x 7 x 11 x 13 x 17 = 510,510
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3 years ago
How do I solve and graph this
White raven [17]
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5 0
4 years ago
On Monday Katie spent 2 1/6 hours studying. On Tuesday she spent another 4 7/9 hours studying. What is the combined length of ti
iren [92.7K]

Answer:6 17/18 hours

Step-by-step explanation:

We are informed that on Monday Katie spent 2 1/6 hours studying while onn Tuesday she spent another 4 7/9 hours studying.

The combined length of time she spent studying will be the addition of the numbers of hours spent studying on Monday and Tuesday. This will be:

= 2 1/6 + 4 7/9

= 2 3/18 + 4 14/18

= 6 17/18

She used a total of 6 17/18 hours studying

8 0
3 years ago
A. If B is a basis for a subspace H, then each vector in H can be written in only one way as a linear combination of the vectors
liraira [26]

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Step-by-step explanation:

3 0
3 years ago
An angle measures 149.2° more than the measure of its supplementary angle. What is the measure of each angle?
Oksanka [162]
<h2>Solving for the measurements of Complementary Angles</h2><h3>Answer:</h3>

15.4^{\circ} and 164.6^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are supplementary to each other add up to 180^{\circ}.

Let a be the measure of the supplementary angle.

If an angle is 149.2^{\circ} more than its supplementary angle, the measure of that angle is a +149.2. The sum of both angles are expressed a +(a +149.2) but since the have to add to 180 as they are supplementary, a +(a +149.2) = 180.

Solving for a:

a +(a +149.2) = 180 \\ a +a +149.2 = 180 \\ 2a +149.2 = 180 \\ 2a +149.2 -149.2 = 180 -149.2 \\ 2a = 30.8 \\ \frac{2a}{2} = \frac{30.8}{2} \\ a = 15.4

Since the other angle measures a +149.2, we can plug in the value of a to find the measure of the angle.

Evaluating a +149.2:

a +149.2 \\ 15.4 +149.2 \\ 164.6

The measure of the angles are 15.4^{\circ} and 164.6^{\circ}

6 0
3 years ago
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