All categories

3 years ago

What is the sum of the interior angle measures of a polygon that has 20 sides

Mathematics

1 answer:

ratelena [41]3 years ago

6 0

Answer:

The answer is 3,240

Step-by-step explanation:

In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon's interior angles is 3240 degrees.

In mathematics, the interior angles of a polygon are the angles on the inside of the polygon created where the sides of the polygon meet. When a polygon is a n-sided regular polygon, meaning it has n sides, its sides have the same length, and its angles have the same measure, we have that the measure of one interior angle is given by the formula $180 -\frac{360}{n}$

You might be interested in

suppose that you have 3000$ to invest. which investment yields the greater return over a 10 year period: 8.04% compounded daily

Ksenya-84 [330]

Answer: Option A: 8.04% compounded daily

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

$A = P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\qquad where\\\\\bullet A = \text{accrued amount (principal plus interest earned)}\\\bullet P = \text{principal (amount invested)}\\\bullet r = \text{rate (in decimal form)}\\\bullet n=\text{number of times compounded in one year}\\\bullet t=\text{time (number of years)}\\\\\\Option\ A:\\A = \text{unknown}\\P=3000\\r=8.04\%\rightarrow 0.0804\\n=\text{daily}\rightarrow 365\\t=10\\\\A=3000\bigg(1+\dfrac{0.0804}{365}\bigg)^{365\times 10}\\\\.\ =\$ 6,702.79$

$Option\ B:\\A = \text{unknown}\\P=3000\\r=8.1\%\rightarrow 0.081\\n=\text{quarterly}\rightarrow 4\\t=10\\\\A=3000\bigg(1+\dfrac{0.081}{4}\bigg)^{4\times 10}\\\\.\ =\$ 6,689.37$

Option A results in the greater amount of money.

7 0

4 years ago

On Saturday, many tickets for a hockey game were sold. Children and adult tickets were sold in the ratio of 4:7. There are 88 ti

Illusion [34]

Answer:

49 tickets

Step-by-step explanation:

THis is pretty straight forward

So we have the ratio 4:7

We know there were 88 tickets in total but we don’t know the exact amount of adult and kids

So we can Add up the ratio

4+7=11

Now we can divide 88 by 11

you’ll get 7

So by doing this we know there are 7 groups of the ratio for child to adults 4:7

So we just multiply the 7 to each

4*7

7*7

you’ll get 28:49

Now we know there are 28 kid tickets and 49 adult tickets

We know this is correct becuase if you add up the ratio, it’ll be 88

Which is the same as the amount fo people at the hockey game

6 0

3 years ago

Landon scored an 85% on his test. If he got 34 problems correct, how many were on the test?

Sergeu [11.5K]

Answer:

There are 40 problems on the test

Step-by-step explanation:

Let p = the number of problems on the test

The number of problems on the test times the percent correct is the number correct

p * 85% = 34

p * .85 = 34

Divide each side by .85

p * .85/.85 = 34/.85

p = 40

There are 40 problems on the test

6 0

3 years ago

Kedar earns a monthly salary of $2,200 plus a 3.75% commission on the amount of his sales at a men's clothing store. What would

fenix001 [56]

4,500 x 3.75% = 168.75

2,200 + 168.75 = He would earn $2,368.75 this month

Wish I had this job XD

4 0

3 years ago

An unopened can of iced tea contains 350 cubic centimeters of liquid. if the can is 5 inches long and has a 0.8-inch diameter, w

Kazeer [188]

Volume of a cylinder= π r^2 h

.4= radius

π• 4^2 • 3= 150. 79

7 0

3 years ago