the sum of the interior angle in a polygon is 40,500° what is the number of sides in the regular polygon

Answers

Answer 1

Answer:

227 sides

Step-by-step explanation:

The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:

40500 = 180(n-2)

225 = n-2

227 = n

Therefore, the number of sides in the regular polygon is 227.


Related Questions

Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work on the sketchpad.

Answers

Answer: 11.9

Step-by-step explanation:

The opposite is across from the 35 degree angle and the ajacent is the side valued at 17.

Answer:

A. 11.9

Step-by-step explanation:

35° = opposite/adjacent

tan(35°) = x/17

tan(35) x 17 = 11.90352814

x = 11.90352814

x = 11.9

Need help with this question brainliest for correct answer

Answers

Answer:

[tex]\huge\boxed{y=\dfrac{4}{3}x-1}[/tex]

Step-by-step explanation:

Let

[tex]k:y=m_1x+b_1\\l:y=m_2x+b_2[/tex]

then

[tex]k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]

==========================================

We have:

[tex]y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}[/tex]

Let

[tex]y=m_2x+b_2[/tex]

Therefore

[tex]m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2[/tex]

Substitute

[tex](0,\ -1)\to x=0;\ y=-1[/tex]

[tex]-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1[/tex]

I am on my knees begging for help i will mark brainlist please hear my cries

Part A: Which of the following pairs of coordinates would represent the missing values in the table?

options:

(3, $2560) & (4, $2048)


(3, $640) & (4, $128)


(3, $2560) & (4, $512)


(3, $640) & (4, $512)

Question 6 (4 points)
Part B: Write an equation that can be used to find the value of the piano, v, after t years

Answers

Answer:

Part A would be: 3, $2560 & 4, 2048 I am pretty sure

Step-by-step explanation:

20% of 3,200 = 640

3,200-640= 2,560

then

20% of 2,560 = 512

2,560-512 = 2,048

hope this helps! :)

Part A: The first answer is correct, or (3, $2560) & (4, $2048)

Part B: V = 5,000(0.8)^t

5000 is the original price, 0.8 shows the value going down 20%, and t shows how many years.

Hope this helps!

Joe paid $345 for a vase. He sold it at a profit of 180% of cost price. Find the selling price of the vase?

Answers

Answer:

966

Step-by-step explanation:

180% is written as 1.80 as a decimal. You can multiply this by 345 to get the profit he made, and to find the total selling price, add the profit (1.80x345) to the original price (345)

Find the LCM of 14 and 18 using prime factorizations.

Answers

Answer:

126

Step-by-step explanation:

14 = 2 * 7

18 = 2 * 3 * 3

Take any factors they both have and use that number only once (2)

Then multiply together: 2 * 7 * 3 * 3 = 126

phythagorean theorum please help

Answers

Answer:

14

Step-by-step explanation:

so the hypotenuse for both triangles is 19.use Pythagoras theorem to get the base of both triangles as 8.5cm each.add the two bases and get 17.minus 17 from 31 to get 14cm as the remaining part

Ok done. Thank to me :>

Which set of ordered pairs represents a function?

{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}

Answers

Answer: {(2,-2), (1,5), (-2,2), (1,-3), (8,-1)}, and {(3,-1), (7,1), (-6,-1), (9,1), (2,-1)

Step-by-step explanation: In order for a given relation to be a function, there can only be 1 x-value that can repeat. The y-values on the other hand can repeat an infinite amount of times. In the last 2 relations, you have (-2,-5), (-2,9) and (-3,1), (-3,2), and (-3,-3). You can also graph these relations and do a vertical line test with your pencil drawing a straight line downward and you'll notice that you will touch the graph more than 1 time. The first 2 relations if you were to graph them and do a vertical line test by using a pencil or pen, you'll notice that you will touch the graph once which shows you that you have a relation that is indeed a function.

Hope this explanation helps.

Answer:

{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}

convert 14 in base 10 into base 5

Answers

Since

14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,

we have

14₁₀ = 24₅

The cost to rent a car from Rent a Wreck is $15 a day plus a $30 deposit. The cost to
rent a car from Barely Running is $20 a day. How many days would you have to rent the
car for the cost of both companies to be the same?

Answers

Answer:

Step-by-step explanation:

1 lb = 0.45 kg

How many pounds are in 90.9 kilograms?

Answers

Answer:

200.4002 pounds

Step-by-step explanation:

Answer:

The answer is 200.4002

If you have to round to the nearest thousandth then it is 200.400

If you have to round to the nearest hundredth then it is 200.40

If you have to round to the nearest tenth then it is 200.4

yall i need help asap! its due in 1hr!!​

Answers

[tex] \frac{7}{20} \times 100 = \\ [/tex]

[tex] \frac{20 \times 5 \times 7}{20} = \\ [/tex]

[tex]5 \times 7[/tex]

[tex] 35 \: \: percent[/tex]

_____________________________________________

Suppose that number is x thus twice a number means :

[tex]2 \times x[/tex]

Plus 6 :

[tex]2x + 6[/tex]

Gives a result 28 :

[tex]2x + 6 = 28[/tex]

_____________________________________________

Have a great day ♡

solve pls braniliest

Answers

Answer: past tense

Explanation: because it says "made" not "making"

Answer:

Past tense

Step-by-step explanation:

The verb ("made") is in the past tense.

Hope this helps :)

Find the Product of (s^2+5s)(s^3+4s^2).

Answers

The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

The product is given as:

[tex](s^2+5s)(s^3+4s^2)[/tex]

Rewrite as:

[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]

Expand the expression on the right-hand side

[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]

Distribute the expressions

[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]

Evaluate like terms

[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]

Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]

Read more about products at:

https://brainly.com/question/24963015

[ALGEBRA 2 POLYNOMIAL DIVISION/REMAINDER THEOREM]
Help!!! I'm desperate to find the answer, will give brainliest to first person that answers the question in the photo!

Answers

Answer:

  k = -4

Step-by-step explanation:

The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...

  f(k) = -15

Looking on the given graph, you find that k must be -4. That is, ...

  f(-4) = -15

  k = -4

_____

The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.

reduce the following fractto their lowest form​

Answers

Answer:

a) 3/16

b) 8/7

Step-by-step explanation:

i think the idea there was just simplifying the fractions.

Find the circumference of a circle with a radius of 3/4 km

Answers

Answer:

3/2pi or 0.47746

Step-by-step explanation:

The ormula for circumference is:

Circumference = 2*pi*radius

Then substitute radius = 3/4km

Circumfrence = 2*pi*(3/4)km = 3/2pi or 0.47746

If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?

18

2

1 half

1
6

Answers

Answer:

x = 18

Step-by-step explanation:

difference between y = 12, x=72 is 6

so if y = 3 then multiply 3×6 = 18

Answer:

18

Step-by-step explanation:

Can someone please help me .....

Answers

Answer:

y-6=3/5(x-6)

Step-by-step explanation:

Calculate if possible

Answers

Answer:

25/4

Step-by-step explanation:

7 can also be 7/1. Now you have 7/1-3/4. Multiply the denomiator to make them the same so you can subtract. 1*4=4 and 7*4= 28. Now you have 28/4-3/4. Subtract the numerators. 28-3=25. Your answer is 25/4. (6.25 if you need it in decimal form)

what is the slope of the line?

Answers

The slope of the line is -(1/2)

Evaluate -5.8-3.1x0.5

Answers

Answer:

7.35

Step-by-step explanation:

Using DMAS, let's solve.

=> -5.8 - 3.1 x 0.5 (Multiplication)=> -5.8 - 1.55 (Subtraction)=> -7.35 (Solved)

Conclusion:

Therefore, the answer is:

7.35

Hoped this helped.

[tex]GeniusUser[/tex]

Answer to this ?……..

Answers

If you filled out the chart fully:

a = 4

b = 7

c = 6

d = 9

e = 17

Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:

7:10

There is a greater chance of picking a boy than a girl where there is three more boys than girls.

someone please help me

Answers

Given info:- In ∆ABC, right-angled at c in which AB = 10in, BC = 26 in and we have to find out the measure of AC = ?

Explanation:

In right angled ∆OCB, AC ⟂ CB,

AB² = AC²+CB²

[By Pythagoras theorem]

(10)² = AC²+(26)²

10*10 = AC²+(26*26)

100 = AC²+676

AC² = 676-100

AC² = 576

AC = √(576)

AC = 24 in.

Hence, the measure of right-agled in which AC is 24 in.

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In a right triangle angle C measures 40 degrees. The hypotenuse of the triangle is 10in long. What is the approximate length of the side adjacent to angle C?....

https://brainly.com/question/4503604?referrer

Data were collected regarding the prices plumbers charge for their services in a certain
area. Most of their charges include a flat fee and then an hourly charge. Based on the
data gathered, the amount, A, a plumber charges for t hours of work can be modeled
by the equation A = 50 + 80t. Which statement is correct?

Answers

Using the linear function, it is found that the correct option is given by:

On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.

Linear functions modeling a cost have the following format:

[tex]C(t) = C(0) + at[/tex]

In which:

C(0) is the flat fee.a is the cost per unit of time.

In this problem, the cost for t hours of work is modeled by:

[tex]C(t) = 50 + 80t[/tex]

Which means that the correct statement is:

On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores −1.75, −1, 4.25, 3.75, 1, −4.75, and 2. Find the mean score. Write your answer as a decimal.

Answers

Answer:

mean = 0.5

Step-by-step explanation:

The mean of a set of data is calculated as

mean = [tex]\frac{sum}{count}[/tex]

          = [tex]\frac{-1.75-1+4.25+3.75+1-4.75+2}{7}[/tex]

          = [tex]\frac{3.5}{7}[/tex]

          = 0.5

5. Given no other restrictions, what are the domain and range of the following function?
f(x) = x2 – 2x + 2
OD= all real numbers
R = {yl y> 1}
OD = {xx> 1}
R= all real numbers
OD = all real numbers
R= {yly<1}
OD = {x|x>0}
=
R = all real numbers

Answers

Answer:

Step-by-step explanation:

If EC $2.50 is equivalent to US $1.00, then EC $20.00 in Us dollars is

Answers

Answer:

22.54$

Step-by-step explanation:

There is a calculator for this

Answer:

EC$20.00 is equivalent to $7.40 US dollars

Step-by-step explanation:

PLEASE ANSWER!!!!!!!!!! I'LL GIVE BRAIN !!!!!!!!!!!!!!!!!!!!!! A _______ is a ratio that compares two things with different units of measurement.

rate
coordinate
cross
unit

Answers

Answer:

RATE

Step-by-step explanation:

Answer:

A. Rate

Step-by-step explanation:

A rate is an example of comparing two different units of measure. For example, miles per hour is a rate because it compares miles, which is a unit of distance, to hours, which is a unit of time.

Hope this helps.

Please help I need work shown!!

Answers

3x-11=2x+11

x=22

3x-11=55

2x+11=55

55+55+2y=180

2y=70

y=35

x=22 , y=35

Ok done. Thank to me :>

Write 2^40 as a power with the following base
a) 2^2
b)2^5
c)2^8
d)2^10

Answers

Answer:

2^2×20

Step-by-step explanation:

2^2×20

because 2×20=40

so, 2^2×20=2^40

The Following are the representation of [tex]2^{40[/tex] as a power in different bases

a) [tex]2^{ 2 * 20}[/tex]

b) [tex]2^{ 5 * 8}[/tex]

c) [tex]2^{ 8 * 5}[/tex]

d) [tex]2^{ 10 * 2}[/tex]

What are Exponents and power?

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

[tex]2^{40[/tex] as a power

so, writing the above in given bases

a) 2²

= [tex]2^{ 2 * 20}[/tex]

= [tex]2^{40[/tex]

b)[tex]2^5[/tex]

= [tex]2^{ 5 * 8}[/tex]

= [tex]2^{40[/tex]

c) [tex]2^8[/tex]

= [tex]2^{ 8 * 5}[/tex]

= [tex]2^{40[/tex]

d) [tex]2^{10[/tex]

= [tex]2^{ 10 * 2}[/tex]

= [tex]2^{40[/tex]

Learn more about exponents and power here:

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