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Nina [5.8K]
2 years ago
15

Using this formula, how many sides does a polygon have if the sum of the interior angles is 1,260°? Round to the nearest whole n

umber.
Mathematics
1 answer:
nikdorinn [45]2 years ago
6 0

Answer:

9 Sides

Step-by-step explanation:

According to the Question,

  • Given That, The sum of the interior angles(s), in an n-sided polygon can be determined using the formula s=180(n−2), where n is the number of sides

Therefore, The sides do a polygon have if the sum of the interior angles is 1,260°.

Put The Values in Formula, we get

1260=180(n−2)

n-2 = 7

n=9 (9 Sides)  

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In a certain board game a 12 sided number cube showing numbers 1-12 is rolled. If 3 such number cubes are rolled, what is the pr
kondor19780726 [428]

Answer:

0.2297453

Step-by-step explanation:

Given that :

Total faces of = 12 labeled 1 - 12

Probability of showing a 2 ;

P = required outcome / Total possible outcomes

P(showing a 2) = 1 /12

Hence, probability of not showing a 2 ;

P(showing a 2)' = 1 - 1/2 = 11/12

Probability that atleast one of 3 cubes shows a 2 :

1 - P(none of the cubes shows a 2)

P(none of the cubes shows a 2) =

(11/12 * 11/12 * 11/12) = 0.7702546

1 - 0.7702546 = 0.2297453

8 0
2 years ago
3x-5=2(2x+5) how do you slove it
DaniilM [7]

Answer:

x = -15

Step-by-step explanation:

3x-5=2(2x+5)

Expand by using distributive property

3x - 5 = 4x + 10

Subtract 4x from both sides

3x - 5 - 4x = 4x + 10 - 4x

Simplifying

-x - 5 = 10

Add 5 to both sides

-x - 5 + 5 = 10 + 5

Simplifying

-x = 15

Divide both sides by -1

x = -15

5 0
2 years ago
The cosine of 23° is equivalent to the sine of what angle
Archy [21]

Answer:

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

(There are more values since we can go around the circle from 67 degrees numerous times.)

Step-by-step explanation:

You can use a co-function identity.

The co-function of sine is cosine just like the co-function of cosine is sine.

Notice that cosine is co-(sine).

Anyways co-functions have this identity:

\cos(90^\circ-x)=\sin(x)

or

\sin(90^\circ-x)=\cos(x)

You can prove those drawing a right triangle.

I drew a triangle in my picture just so I can have something to reference proving both of the identities I just wrote:

The sum of the angles is 180.

So 90+x+(missing angle)=180.

Let's solve for the missing angle.

Subtract 90 on both sides:

x+(missing angle)=90

Subtract x on both sides:

(missing angle)=90-x.

So the missing angle has measurement (90-x).

So cos(90-x)=a/c

and sin(x)=a/c.

Since cos(90-x) and sin(x) have the same value of a/c, then one can conclude that cos(90-x)=sin(x).

We can do this also for cos(x) and sin(90-x).

cos(x)=b/c

sin(90-x)=b/c

This means sin(90-x)=cos(x).

So back to the problem:

cos(23)=sin(90-23)

cos(23)=sin(67)

So 67 degrees is one value that we can take the sine of such that is equal to cos(23 degrees).

6 0
2 years ago
Solve for r.<br> -13 = r/9 +8
love history [14]
R/9 = -21
Multiply by 9
r = -189
4 0
2 years ago
Read 2 more answers
X-3y=7 and 2x-6y=12 solving by elimination
Ber [7]

x-3y=7    2x-6y=12

You can multiply -2 in the first equation like this.

x+6y=7

2x-6y=12

Now you can eliminate 6y and -6y so cross them out and do x-2 which is -1 and 7-12 which is -5 -1/-5 would be .2

<h3 />
7 0
3 years ago
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