calculate the number of sides of a regular polygon with sum interior angles of 2160°.

Answers

Answer 1

Answer:

14 sides

Step-by-step explanation:

The sum of all interior angles of a polygon = (n - 2)180°

2160° = (n - 2)180°

[tex]n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14[/tex]

Hence, the polygon has 14 sides.


Related Questions

pls help me forgot how to do this
find the value of x

Answers

Answer:

Step-by-step explanation:

oto begin you should know that all triangles contain 180 degrees and that a flat line contains 180 degrees as well. This means that in order to find this answer you should begin by calculating the remianing angle in the traingle. This is done by 180-(95+51) and gives and angle of 34 degrees. Then take 180-(95+35) in order to get x. This gives an x of 51.

Hope this helps!

Answer:

146°

Step-by-step explanation:

1) 180-51-95 = 34 All the angles in a triangle add up to 180.

2) A straight line is 180, so x = 180 - the interior angle.

3) We figured out in step #1 that the interior angle is 34, so all we have to do now is substitute that into step #2

4) x = 180-34 = 146

someone answer this please

Answers

Answer:

b = 33m is the answer

Step-by-step explanation:

a = 44m

b = ?

c = 55m

According to the Pythagoras theorem,

a² + b² = c²

44² + b² = 55²

1936 + b² = 3025

b² = 3025 - 1936

b² = 1089

b = 33m

∴ b = 33m is the length of the missing leg.

Please help!! I will venmo

Answers

Answer:

30 cm^2

Step-by-step explanation:

the triangle is 36

the rectangle is 6

36-6=30

What is the formula of the surface area solved for r?

Answers

D

This is the best answer for this question

Answer:

Option C

Step-by-step explanation:

It is the correct answer I explained in your next question

The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that a sample of 38 people from a North Carolina city consumed a mean of 1.84 cups of coffee per day, with a standard deviation of 0.85 cups. In a two-tail test at the 0.05 level, could the residents of this city be said to be significantly different from their counterparts across the nation?

Answers

Answer:

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There  is no significant difference between  their counterparts across the nation

Step-by-step explanation:

Step(i):-

Given that the mean of the U.S residents  = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

Step(ii):-

Null hypothesis:H₀:

There  is no significant difference between  their counterparts across the nation

Alternative Hypothesis:-H₁:

There  is  a significant difference between  their counterparts across the nation

Test statistic

                [tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

               [tex]t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }[/tex]

              t =  1.3788

Degrees of freedom

                ν = n-1  = 38-1 = 37

t₀.₀₅ ,₃₇ =    2.0262

The calculated value  t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

Final answer:-

There  is no significant difference between  their counterparts across the nation.

What is the measure of angle XYZ?

Answers

Answer:

D

Step-by-step explanation:

D

[tex]angle \: xyz = \frac{1}{2} arc \: xz[/tex]

Plsss this is timed!

Answers

Answer:

c i think ???

Step-by-step explanation:

I think it’s D???

sorry if it’s wrong

Brainliest for correct answer asap

Answers

Answer:

D

Step-by-step explanation:

1/4^3 (the last one) is correct

The radius of a circle is 2.9 in. Find the circumference to the nearest tenth.

Answers

Answer:

[tex] \bf \large 20 \: inches [/tex]

Step-by-step explanation:

Given that :

The radius of a circle is 2.9 in.

to find :

Find the circumference to the nearest tenth.

formulas used :

circumference = 2 × π × r

where,

π = 22/7r = 2•9 inches

explanation :

⟼ c = 2πr

⟼ c = 2 × 22/7 × 2•9 inches

⟼ c = 2 × 3•14 × 2•9 inches

⟼ c = 6•28 × 2•9 inches

⟼ c = 18•21 inches.

Round to the nearest tenth :

⟼ c = 18•21 inches

⟼ c = 20 inches

∴ circle circumference is 20 inches .

Plsss help mark brainlist

Answers

Answer:

17

Step-by-step explanation:

34 / 2 = 17

(1 point)
The number of eggs that a female house fly lays during her lifetime is normally distributed with mean 790 and standard deviation 92.
Random samples of size 98 are drawn from this population, and the mean of each sample is determined. What is the probability that
the mean number of eggs laid would differ from 790 by less than 30? Round your answer to four decimal places.

Answers

Answer:

0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean 790 and standard deviation 92.

This means that [tex]\mu = 790, \sigma = 92[/tex]

Samples of 98

This means that [tex]n = 98, s = \frac{92}{\sqrt{98}}[/tex]

What is the probability that the mean number of eggs laid would differ from 790 by less than 30?

This is the pvalue of Z when X = 790 + 30 = 820 subtracted by the pvalue of Z when X = 790 - 30 = 760. So

X = 820

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{820 - 790}{\frac{92}{\sqrt{98}}}[/tex]

[tex]Z = 3.23[/tex]

[tex]Z = 3.23[/tex] has a pvalue of 0.9994

X = 760

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{760 - 790}{\frac{92}{\sqrt{98}}}[/tex]

[tex]Z = -3.23[/tex]

[tex]Z = -3.23[/tex] has a pvalue of 0.0006

0.9994 - 0.0006 = 0.9988

0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.

There are
13
students in a class of
30
who play rugby.

Write this proportion as a percentage.

Give your answer correct to 1 decimal place.

PLSSS SOMEONE HELP

Answers

Answer:

i think it might be 0.43

Step-by-step explanation:

Just divide 13/30 and it should you you that proportion as a percentage I think! Sorry if I might've given you the wrong answer but just trynna help!

have a nice day

Answer:

43.3% of the students play rugby.

Step-by-step explanation:

13/30 = 0.43333

0.43333*100 = 43.33%

Have a nice day!

and can I maybe have brainliest? Thanks!


An item sells for $40. The sales tax on
the item is 8%. What is the sales tax and
total cost?

Answers

Answer:

$43.20 total

$3.20 sales tax

Explication:

40*1.08=43.2

Answer:

sales tax = $3.20

total cost = $43.20

Step-by-step explanation:

To calculate the sales tax on an item, multiply the price of the item by the tax percent in decimal form. To convert a percent to decimal form, divide the percent by (100).

Sales tax percent: 8%

In decimal form: 0.08

Multiply the sales tax in decimal form by the price of the item to find out the sales tax amount,

(item_price) * (sales_tax)

= (40) * (0.08)

= 3.2

Sales tax amount: $3.20

To find the total cost of the product, add the sales tax amount to the item price,

(item_price) + (sales_tax_amount)

= 40 + 3.20

= 43.20

Order these fraction from to : 2/3 , 7/12 , 3/4

Answers

I didn't really know whether to do it from least to greatest or greatest to least, so I did it from least to greatest.

Steps:

1. Find a common denominator

Let's do 12

2. Convert

7/12 is already in its simplest form, so 2/3 = 8/12 and 3/4 = 9/12

3. Order

7/12, 8/12, 9/12

4. Back to original form

7/12, 2/3, 3/4

ANSWER: 7/12, 2/3, 3/4

Answer:

2/3, 3/4, 7/12

Step-by-step explanation:

Least to greatest. Sorry if this was not what u were asking for.

. Duke's photography pays $9 for a 5x7 photograph.
If the photograph is sold for $15, what is the
percent of markup based on cost?​

Answers

Answer:

the markup percentage is 66.67%

Step-by-step explanation:

The computation of the percent of markup based on cost is shown below:

= (Selling price - paid price) ÷ (paid price)

= ($15 - $9) ÷ ($9)

= 66.67%

By taking the difference of the selling price & paid price and then divided it by paid price we can get the percentage of markup

Hence, the markup percentage is 66.67%

WILL NAME BRAINLIST PLEASE
Use the table to write a linear function that relates y to x . PLEASE NO HACKERS
y=

Answers

Answer:

answer: y+2/3x+5

Step-by-step explanation:

because

please help im stuck on this​

Answers

Answer

The slope is 2

Step-by-step explanation:

You are ordering a cake for your brother's birthday. You must choose between vanilla, chocolate or marble cake. You must choose between
buttercream or chocolate frosting. Finally you must choose between a cake with a 4-inch radius, 6-inch radius, 9-inch radius, or 12-inch radius. How
many difference cake options are there?

Answers

Answer:

24 different options

Step-by-step explanation:

3 cake type options

2 frosting options

4 radius sizes

3 * 2 * 4 = 24 different options

The answer should be 3.

n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.

Answers

Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.

I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

[tex]\angle A = 10[/tex]

[tex]\angle B = 145[/tex]

Required

Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]

The question is incomplete as the other triangles to make comparison from, are not given.

However, general information that could help you are as follows.

The given parameters show that we have to consider AA criterion for selecting similar triangles.

So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.

Take for instance.

[tex]\triangle DE\ F[/tex]

Where

[tex]\angle D = 10[/tex]

[tex]\angle E = 145[/tex]

See that:

[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]

[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]

This means that:

[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA

Answer:

The answer is the 10 degrees on and 25 degreees

Step-by-step explanation:

AP EX

Please help me thanks

Answers

Answer:

11/13

Step-by-step explanation:

4 out of the 26 marbles are blue, meaning that the rest of the 22 marbles are not blue. (26-4=22)

This means that out of the total 26, the chance of not picking a blue marble are 22/26=11/13

Please answer this I need this answer today God bless America and have a good day! Organize the following facts from the book “Words to Save the World” into the appropriate categories. put the sentence in the boxes that goes together from problems and solutions

Answers: Chemical companies tried to discredit Rachel and her work.

Rachel decided to work alone.

Rachel wrote a book called Silent Spring to make people aware of environmental problems.

The assistants worked too slowly.

[Problem] and [Solution]

Answers

Answer:

problems

Chemical companies tried to discredit Rachel and her work.

The assistants worked too slowly.

 

solutions

Rachel decided to work alone.

Rachel wrote a book called Silent Spring to make people aware of environmental problems.

Step-by-step explanation:

which of the following is a factor of 18? a)3 b)4 c)30 d)60​

Answers

Answer:

A) 3

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

Answer:

3

Step-by-step explanation:

because 18/3 = 6

or 6 x 3 = 18

so it is a factor of 18

If ∆HCN~∆BMD, solve for x.

Answer options:
A.11
B.12
C.13
D.14

PLEASE HELP ASAP THANK YOU!

Answers

Answer:

13

Step-by-step explanation:

Which of the following statistics is used to measure inflation?

Answers

Answer:

.....................

Step-by-step explanation:

As an economic indicator. The CPI is the most widely used measure of inflation and is sometimes viewed as an indicator of the effectiveness of government economic policy.

-8(n-5)= -2(4n+11)

SOMEONE PLEASE SOLVE IT PLEASEEEE

Answers

use Photomath and then you can get your answer!

Answer:

Use papa math

Brainliest for correct answer asap

Answers

Answer:

its the first one. Times the bigger numbers and add the indices. so it 16^7

Answer: A 16(7)

Step-by-step explanation:

First you multiply your base numbers,[4x4] to get 16 then you add your exponents [2+5] to get 7 and remember you can only add exponents not multiply them.

11 points pls help moby max

Answers

Answer:

Sum of given fraction = 13 / 15

Step-by-step explanation:

Given fraction:

2/3 + 1/5

Find:

Sum of given fraction

Computation:

⇒ 2/3 + 1/5

Step 1 :

By taking LCM of Denominator 3 and 5

⇒ LCM of 3 and 5 is 15

So,

2 multiply by 5 and 1 multiply by 3 and add after multiply

Sum of given fraction ⇒ [(2 x 5) + (1 x 3)] / 15

Sum of given fraction ⇒ [10 + 3] / 15

Sum of given fraction = 13 / 15

Please tell me please

Answers

Answer:

C

Step-by-step explanation:

It is one whole shaded diagram (100%) and half of the diagram (50%), making 150%

Answer:

a or c

Step-by-step explanation:

A(5, 23) and B(-2, 2) are two points.
(a) Find the co-ordinates of the midpoint of the line AB.​

Answers

Answer:

The midpoint of (5,23) and (-2,2) is (3/2,25/2)

hope that helps

Step-by-step explanation:

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