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3 years ago

The sum of the interior angles of a polygon measure 2880°. what is the name of the polygon?

1 answer:

8 0

The name of the polygon is an Octdecagon, or in other words, a 18-sided polygon. You find the total angles of a polygon by the formula (n - 2) * 180. What I did in this case to find the number of sides, was that I divided 2,880 by 180. My quotient was 16. Then, I added 2 in order to get 18. I did the reverse by doing (18 - 2) * 180 to check my answer, and it equaled 2,880.

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How do you solve this problem??

MakcuM [25]

X = 10 opposite sides are equal to eachother

5 0

3 years ago

Read 2 more answers

Solve for n: <br> 4+ n/3 <6

Goshia [24]

Answer: n < 6

Step-by-step explanation:

multiply both sides.

4 + n/3 < 6

move the constant to the right.

12 + n < 18

calculate.

n < 18 - 12

solution:

n < 6

7 0

3 years ago

If cos θ = .62 and if 0<θ<90 what is the approximate value of sin θ to the nearest hundredth

Deffense [45]

$\cos\Theta=0.62\\\\\text{Use:}\ \sin^2\alpha+\cos^2\alpha=1\\\\\sin^2\Theta+(0.62)^2=1\\\\\sin^2\Theta+0.3844=1\ \ \ |-0.3844\\\\\sin^2\Theta=0.6156\to\sin\Theta=\pm\sqrt{0.6156}\\\\\sin\Theta_1\approx-0.78\ \vee\ \sin\Theta\approx0.78\\\\\Theta\in(0^o;\ 90^o),\ therefore\ \sin\Theta \ \textgreater \ 0\to\boxed{\sin\Theta\approx0.78}$

5 0

3 years ago

Cans of regular soda have volumes with a mean of 13.3813.38 oz and a standard deviation of 0.110.11 oz. is it unusual for a can

dimulka [17.4K]

No 13.3813 + 0.1100 = 13.4913. (max. standard deviation)
13.4813 is less than max. standard deviation

8 0

3 years ago

if 36 cookies cost $4.00 what is the unit rate in cookies per dollar. Using the same information what is the unit rate for 1 coo

pogonyaev

Answer:

9 cookies per dollar

Step-by-step explanation:

This is a fraction equal to

36 cookies ÷ 4 dollars

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 4

36 cookies ÷ 4

--------------------------

4 dollars ÷ 4

9 cookies

---------------

1 dollar

9 cookies

-----------------

dollar

= 9 cookies per dollar

3 0

3 years ago