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babunello [35]
3 years ago
7

How many sides does a regular polygon have if its interior angles are 150

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
3 0
180(# of sides - 2) divided by the # of sides is equal to the degree of its interior angle. 
So 12 sides. 
You might be interested in
I know the answer is right but it said it’s wrong. Can I get a second answer to make sure? Thank you so much!
ad-work [718]

Answer:

   70.3 ft

Step-by-step explanation:

The ratio of the adjacent side (33 or KM) to the hypotenuse (X or KL) is the cosine of the angle:

  cos(62°) = 33/KL

Multiplying by KL/cos(62°) gives ...

  KL = 33/cos(62°) ≈ 33/0.4694 ≈ 70.292 ≈ 70.3

The length of KL is about 70.3 feet.

___

Make sure your calculator is in degrees mode.

6 0
3 years ago
Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
lbvjy [14]

Answer:

4.51\times10^{-10}

Step-by-step explanation:

There are only 2 solutions for none of the rooks can capture any of the other rooks: only if they are laid out in either of the 2 diagonal of the chess board

The number of possible combination for the rock to laid out in 8x8 (64 slots) chess board

\frac{64 * 63 * 62 * 61 * 60 * 59 * 58 * 57}{8!} = \frac{1.78\times10^{14}}{40320} = 4426165368 possible combination

So the probability is pretty thin

P = 2 / 4426165368 = 4.51\times10^{-10}

4 0
4 years ago
What is the radius of a circle if it’s center is (1,2) and one point on the circle is (1,6)?
dem82 [27]

because the x values are identical the radius would be found by subtracting the y values.


6-2 = 4


the radius is 4

3 0
2 years ago
X + 4y = 16 and 2x + 12y = 48 What is the value of x+y in the solution of the system?
likoan [24]

Answer:

x = − 4y + 16

x = − 6y + 24

Step-by-step explanation:

Let's solve for x.

x + 4y = 16

Step 1: Add -4y to both sides.

x + 4y + − 4y = 16 + − 4y

x = − 4y + 16

Answer:

x = − 4y + 16

Let's solve for x.

2x + 12y = 48

Step 1: Add -12y to both sides.

2x + 12y + − 12y = 48 + − 12y/2x= − 12y + 48

Step 2: Divide both sides by 2.

2x/2 = − 12y + 48/2x = − 6y + 24

Answer: x = − 6y + 24

( I hope this was helpful) >;D

8 0
3 years ago
Hey, if you can help me with this then please. I really need this done. :)
Inga [223]

Answer:

97 oz.

Step-by-step explanation:

1 lb.=16oz

3+2 lbs = 5 lb's which equals to 80 oz.

then add the extra ounces 7+10 = 17

80 + 17 = 97 oz.

6 0
3 years ago
Read 2 more answers
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