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3 years ago

Find the sum of interior angles of a 10-sided figure. Explain what formula you used to get the answer.

Mathematics

1 answer:

Vilka [71]3 years ago

8 0

Answer: 1440°

Step-by-step explanation:

To solve the above question, we'll use the formula (n-2) × 180. In this question, we are told that it has 10 sides. This implies that n= 10. Therefore, using the formula goes thus:

= (n - 2) × 180

where, n = 10

= (10 - 2) × 180

= 8 × 180

= 1440

You might be interested in

A sum of money is shared between Ali and

Zarrin [17]

Answer:

Ben' share = 2(600/5) = $240

Step-by-step explanation:

Let the sum of money be x

Given that the ratio between Ali and Ben is 3:2

As adding both parts of ratio gives 5 parts so,

For finding one part = x/5

So according to given condition:

Ali's share(one part) + Ben's share(one part) = 120

3(x/5) - 2(x/5) = 120

By simplifying:

x/5 = 120

Multiplying both sides by 5

x = 600

So the total amount is 600

Ali's share would be = 3(600/5) = $360

Ben' share = 2(600/5) = $240

i hope it will help You!

6 0

3 years ago

In a college student poll, it is of interest to estimate the proportion p of students in favor of changing from a quarter-system

Contact [7]

Answer:

n=206

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.09$ , we can use as prior estimate of p 0.5, since we don't have any other info provided, and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.09}{2.58})^2}=205.44$

And rounded up we have that n=206

3 0

3 years ago

What is the horizontal asymptote of f(x)=-2x/x+1<br> A.-2<br> B.-1<br> C.0<br> D.1

Mrrafil [7]

A horizontal asymptote of a function f(x) is given by y = lim f(x) as x --> ∞ and x --> –∞. In this case,
$\lim_{x \to \infty} \frac{-2x}{x+1} = \lim_{x \to \infty} \frac{-2x}{x(1+ \frac{1}{x} )}\\
=\lim_{x \to \infty} \frac{-2}{1+ \frac{1}{x} }\\
= -2
$

Thus, the horizontal asymptote of f(x) is y = –2.

7 0

3 years ago

Read 2 more answers

Help me with this math homework

sp2606 [1]

Answer:

1.) 2 over 5

2.)7.5 over 50

3.)1 1/2

5.)0.95%

6.)2.5%

7.)0.94

i cant read 9 and ten

11.)61 over 100

12.)7 over 25

13.)207 over 1000

15.)14 over 25

16.)13 over 50

17.)3 over 500

19.)5 over 8

20.)42 over 125

21.)3 over 250

I tried my best!! hope this helps you out

5 0

3 years ago

If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and

anyanavicka [17]

Answer: 5%

Step-by-step explanation:

The number of employees that took Winter vacation = 75%

The number of employees that took Both winter and summer vacation = 40%

The number that took Neither = 20

The total number of employees (%) =Winter + Summer - Both + Neither = 100%

75%+ Summer - 40%+ 20%= 100%

Solving for Summer = 45%

Now we are interested in the employees that took summer but not winter = Summer only = Summer - Both(i.e. summer overlap with winter) = 45%-40%= 5%

5 0

3 years ago