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

In 1–2 sentences, explain what should be included in the outline for an argument. Use specific details to support your answer.(2 points)

Answers

It should b noted that the main things that should be included on the outline for an argument include the introduction, body, and conclusion.

The introductory paragraph outlines the topic and provides background information that is important for the readers to understand the argument.

The body paragraphs explain the reasons that support the thesis. It clearly explains why the reader should agree with the position stated.

Lastly, the conclusion restates the thesis and then summarizes the arguments made.

Learn more about essays on:

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Answer:

You can use outline details for each topic and subtopic in your paper organizing, these points so that they can build your argument toward an evidence-based conclusion. Writing an outline will also help you focus on the task at hand and avoid unnecessary tangents, logical fallacies, and underdeveloped paragraphs so you can identify the research problem.

MARK ME BRAINLIST

are 6y + 12 and 6 (y + 2) equal?

Answers

Yes, this is because if you were to multiply 6 by y and 6 by 2 (to get rid of the parenthesis), you would get 6y+12, which is the first expression

The vertices of a triangle are P(8, -5), Q(-5, -8), and R(-4, -3). What are the vertices of the
image reflected across the y-axis?

A. P’(8,-5), Q'(-5, -8), and R'(-4,-3)

B. P'(-8,5), Q'(5,8), and R'(4,3)

C. P'(8,5), Q'(-5,8), and R'(-4,3)

D. P'(-8,-5), Q'(5, -8), and R'(4, -3)

Answers

Answer:

A

Step-by-step explanation:

Hi

To make his energy drink, Jerome used 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix?

Answers

Answer:

I believe the answer is 3:11.

Are the figures below similar?
NO LINKS!! NEED ANSWER ASAP​

Answers

Here is my answer. I hope it is helpful.

Guys, I don't understand this problem, there is a screenshot below. Take a look, I will give you 10 points!

Answers

Answer:

<1 and <2 are remote interior angles of <6

<2 and <3 are remote interior angles of <4

Thirty-six members of the choir, or 30% participated in the talent show. How many total students are in the choir?

Answers

120 students. 30% of 120=36

Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work.

Answers

Step-by-step explanation:

3.75/5=0.75

75 cents per banana for B

0.75/12=0.0625

0.0625 per banana for A

grocery a has the best and lowest unit price.


How do the values compare? Order the values from least to greatest.

-1/2
| -2 |
| 1/2 |
| -2 1/2 |
- 2 1/2
1 1/2

Answers

Im pretty sure it would be ordered: -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|

This is because
-1/2 stays as -1/2
the absolute value of |-2| is 2
the absolute value of |1/2| is 1/2
the absolute value of |-2 1/2| is 2 1/2
-2 1/2 stays as -2 1/2
and 1 1/2 stays the same as well.
If you take all these numbers (-1/2, 2, 1/2, 2 1/2, -2 1/2, and 1 1/2) and order them from least to greatest, you would get:
-2 1/2, -1/2, 1/2, 1 1/2, 2, 2 1/2
which is -2 1/2, -1/2, |1/2|, 1 1/2, |-2|, |-2 1/2|

Im not exactly sure if it is all correct, but i hope this helps! :)

Miss B is making snickerdoodle cookies the recipe uses one and a half teaspoons of cinnamon to make 2 dozen cookies if she needs to make 13 dozen cookies to give them cookies page of her students

Answers

Answer:

Go download CameraMath on playstore

if p(q) = q^2 4q- 12 then what is p(-1)

Answers

the solution:

(1): "q2" was replaced by "q^2".

Step by step solution :

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring q2-4q-12

The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .

-12 + 1 = -11
-6 + 2 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12

Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization

Equation at the end of step
1
:

(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : q+2 = 0

Subtract 2 from both sides of the equation :
q = -2

Solving a Single Variable Equation:

2.3 Solve : q-6 = 0

Add 6 to both sides of the equation :
q = 6

Supplement : Solving Quadratic Equation Directly

Solving q2-4q-12 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = q2-4q-12

Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Aq2+Bq+C,the q -coordinate of the vertex is given by -B/(2A) . In our case the q coordinate is 2.0000

Plugging into the parabola formula 2.0000 for q we can calculate the y -coordinate :
y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 12.0
or y = -16.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = q2-4q-12
Axis of Symmetry (dashed) {q}={ 2.00}
Vertex at {q,y} = { 2.00,-16.00}
q -Intercepts (Roots) :
Root 1 at {q,y} = {-2.00, 0.00}
Root 2 at {q,y} = { 6.00, 0.00}

what is the theoretical of flipping a coin and it lands on heads

Answers

There is a 50/50 chance that it could possibly land on heads, or tails.

Answer:

50/50

Step-by-step explanation:

Im not completly sure but when flipping a coin there is only two sides so theoretically if you are flipping a coin there is a 50/50 percent chance you will get heads

Evaluate the expression when B=7 c=-7. c-6b

Answers

Answer:

7 - (6 x 7) = -35

Answer:

-7-6(7)= 35

7 - (6 x 7) = 35

Your piggy bank contains quarters and dimes. There are 572 coins in the piggy bank totaling $92. How
many quarters and dimes are in the piggy bank

Answers

Answer:

340 dimes and 232 quarters

Step-by-step explanation:

Let the number of dimes be x and quarters be y.

Dime = 10 cents, quarter = 25 cents, total amount is $92 = 9200 cents

We have equations:

x + y = 57210x + 25y = 9200

Multiply the first equation by 10 and subtract from the second one:

10x + 25y - 10x - 10y = 9200 - 572015y = 3480y = 3480/15y = 232

Find the value of x:

x + 232 = 572x = 572 - 232x = 340

solve: 3(2x+7) S 6(x-4)

Answers

Answer:

no solution

Step-by-step explanation:

3(2x + 7) ≤ 6(x - 4) ← divide both sides by 3

2x + 7 ≤ 2(x - 4)

2x + 7 ≤ 2x - 8 ( subtract 2x from both sides )

7 ≤ - 8 ← False statement

This means the inequality has no solution

add 17 divied by 20 + 7 dived by 20 help

Answers

Answer:

1.2

Step-by-step explanation:

17 ÷ 20 + 7 ÷ 20

I hope this helps!

Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.​

Answers

Uhmm I think around 70 days or 90

I'm not sure

Answer:

6 days

Step-by-step explanation:

1 boy workload = 1/2 1 man workload

2 boys workload = 1/2*2 = 1 man workload

so 3 men + 2 boys workload = 4 men workload

3 men .....   8 days ... 24man-days to build

4 men .....   x days ... 24man-days to build

x=24/4=6

I don’t understand this question

Answers

Answer:

1/64

Step-by-step explanation:

Answer: that would be 1/64

Step-by-step explanation:

for this type of question you put it 1/ such as:[tex]\frac{1}{8*8}[/tex] i got 8*8 because of The 8^2

and 8*8=64 therefor the answer is 1/64

*you put it over 1 to get rid of the negative exponents*

FREE BRAINLESS THE FIRST PERSON WHO ANSWER THIS
leo spends $5 per week on music. write an equation that equation that determines the dollars spend D per week.
A. d=5w
b. d=5+w
c. w=5d
d. w=5+d

Answers

ANSWER: C

EXPLANATION

you’re multiply they amount of mint by the number of weeks

Hope this help :)

Patrica earns $12.50 per hour. She saves $3.25 of her hourly pay. What percentage of her hourly salary does she save?

Answers

Answer:

26%

Step-by-step explanation:

Well, we need to find what percent 3.25 is of 12.50.

12.50*x=3.25

3.25/12.50=.26

26% is saved.

(08.06 MC)
Based on the graph, what is one solution of the equation f(x) = g(x)?
f(x)
(
g(x)

A x=-3.5
b x=-1
c x = 0.25
d x=-2

Answers

Answer:

A:  X= -3.5  

I just took the test, and I chose -1 and got it wrong and I looked back on the answer and that's what the answer said. Sorry if I was late, but good luck.

A gaming computer system and additional equipment was purchased for $2,000. The system and equipment depreciate in value by 10% each year.

After how many years will the computer have a value less than $1,000?

A. 1
B. 3
C. 7
D. 8

Answers

2000-200 = 1800

1800-180 = 1620

1620 - 162 = 1458

1458- 148.8 = 1309

1309 - 130.9 = 1178

1178- 117.8 = 1060.2

1060 - 106 = 954

= 7 years

The value of the car is $956.5938 after 7 years and this can be determined by using arithmetic operations.

Given :

A gaming computer system and additional equipment was purchased for $2,000. The system and equipment depreciate in value by 10% each year.

The following steps can be used in order to determine the total number of years will the computer have a value of less than $1,000:

Step 1 - The 10% of $2000 is $200. So, the value of the car after 1 year is $1800.

Step 2 - The 10% of $1800 is $180. So, the value of the car after 2 years is $1620.

Step 3 - The 10% of $1620 is $162. So, the value of the car after 3 years is $1458.

Step 4 - The 10% of $1458 is $145.8. So, the value of the car after 4 years is $1312.2.

Step 5 - The 10% of $1312.2 is $131.22. So, the value of the car after 5 years is $1180.98.

Step 6 - The 10% of $1180.98 is $118.098. So, the value of the car after 6 years is $1062.882.

Step 7 - The 10% of $1062.882 is $106.2882. So, the value of the car after 7 years is $956.5938.

Therefore, the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/25834626

Which numbers is divisible by 5,10 and 15.

A) 15
B) 20
C) 21
D) 34

Answers

i’m pretty sure it’s 20
We have first find out the factors of the numbers.Factors of 15 are 1, 3, 5, 15.Factors of 20 are 1, 2, 4, 5, 10, 20.Factors of 21 are 1, 3, 7, 21.Factors of 34 are 1, 2, 17, 34.Therefore, there are no numbers in the list, which are divisible by 5, 10 and 15.15 can be divisible by 5 and 15 not 10.20 can be divisible by 5 and 10 not 15.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Two sides of a rhombus are represented by (3X-6)cm and (x+14)cm. Find the length of each side in the rhombus

Answers

Answer:

24 cm

Step-by-step explanation:

in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:

3x - 6 = x + 14

subtract x from both sides

2x - 6 = 14

add 6 to both sides

2x = 20

divide both sides by 2

x = 10.

to find the length of each side, plug this back into the original side length expressions:

3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm

the length is 24 cm.

A scale drawing of a house shows a closet with floor dimensions of 4.4 cm by 3.2cm. The scale from the drawing to the actual closet is 2cm for every 1m. WhT is the actual area of the closets floor

Answers

The actual area of the closet floor would be 3.52m

The actual area of the closet floor is 3.52m.

What is a rectangle?

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

It has different lengths and widths.

We have,

Closet dimensions:

Length = 4.4 cm

Width = 3.2 cm

We need to convert the unit cm into meters.

We are given that,

2cm = 1m

Multiply 4.4/2 on both sides

4.4 cm = 4.4/2 x 1m

4.4 cm = 2.2 m

Length = 2.2m

Multiply 3.2/2 on both sides.

3.2 cm = 3.2/2 x 1m

3.2 cm = 1.6 m

Width = 1.6m

The actual area of the closet:

= length x width

= 2.2m x 1.6m

= 3.52m

Thus the actual area of the closet floor is 3.52m.

Learn more about rectangles here:

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There are 30 kilograms of 10 percent apple juice how much more aplle juice does it need to get to 25 percent?

Answers

Answer:

45 kg of apple juice

Step-by-step explanation:

Divide 25% by 10%

The answer you get multiply it by 30

Take the answer you get subtract the 30 kg

HELP ME PLEASE GUYS! :)

Answers

First rearrange

5x-8y=-29

5x+29=8y

5/8x+29/8=y

Then sub in your x values

Step-by-step explanation:

5x-8y=-29

5(6)-8(5)

30-40

=-10

no

5(-9)-8(-2)

=-45+16

=-29

yes

5(-3)-8(1)

-15-8

=-23

no

5(0)-8(-4)

=0+32

=32

no

If it is given that log2 a= 5 , write the value of a as a power of 2​

Answers

In other words, write it in exponential form.

To write a as a power of 2, your log form should be written this way: log_2 (5) = a.

We can then then write it in exponential form showing a as a power of 2.

Here it is:

2^(a) = 5

US
Evaluate the following
expression using x = 10:
5x + 31

Answers

Answer:

The value is [tex]81[/tex]

Step-by-step explanation:

We need to find value of [tex]5x+31[/tex] when [tex]x=10[/tex]

We have

[tex]5\times10+31=50+31\\\\=81[/tex]

If you were to pour marbles into a cup of water, you would make a __________.

A. heterogeneous

B. homogeneous

Answers

Answer:

heterogeneous is the answer

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