find the measure of one interior angle in a regular 23-gon

Answers

Answer 1

Answer: A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n - 2)180°, where n is the number of sides.

Answer 2

The measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees

How to calculate the sum of the interior angle of a regular polygon?

The formula which is used to calculate the sum of the angle of regular polygon is given by

sum of the interior angles = ( n - 2 ) × 180 degrees

Where,

n is the number of sides

According to the given question.

We have a regular polygon with 23 sides.

⇒ n = 23

Therefore,

The sum of the interior angles of the given regular polygon

= (23-2) × 180

= 3,780 degrees

So, the measure of one interior angle = [tex]\frac{3780}{23} = 164.3 degrees[/tex]

Hence, the measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees.

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Related Questions

A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice the y y -coordinate of P P . What is the equation of the curve

Answers

Answer:

The equation for the curve is:

[tex]f(x) = 7*e^{2*x}[/tex]

Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

[tex]f(x) = A*e^{k*x}[/tex]

Replacing that in the second equation, we get:

[tex]k*A*e^{k*x} = 2*A*e^{k*x}[/tex]

From that equation, we can conclude that k = 2

Then:

[tex]f(x) = A*e^{2*x}[/tex]

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

[tex]f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A[/tex]

Then we can conclude that the equation for the curve is:

[tex]f(x) = 7*e^{2*x}[/tex]

Triangle GCH is similar to triangle DCE. Find CH

Answers

Answer:

x = 65

Step-by-step explanation:

if two triangles are similar then we can use the similarity ratio to find the length of CH

60/156 = x/169 cross multiply expressions

156x = 10140 divide both sides by 156

x = 65

Find the slope and the y-intercerpt f(x) = 8 -7/8x​

Answers

Answer:

slope = -7/8

y-intercept = 8

Step-by-step explanation:

slope intercept form is

y = mx + b

m is slope

b is y-intercept

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

f(x) = 8 - 7/8x​

Rearrange into slope intercept form

f(x) = -7/8x​ + 8

slope = -7/8

y-intercept = 8

Answer:

Slope = -7/8

Y-intercept = 8

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.

f(x) = 8-7/8x​

Given the above, rearrange it in slope-intercept form to help us find the slope and y-intercept:

f(x) = -7/8x​+8

Now, we can see clearly that -7/8 is in place of m and 8 is in place of b. This means that -7/8 is the slope of the line and 8 is the y-intercept.

I hope this helps!

Given r=3 and a center of (3,5)? Find the equation of the circle in standard and general form.

Answers

9514 1404 393

Answer:

(x -3)^2 +(y -5)^2 = 9x^2 +y^2 -6x -10y +25 = 0

Step-by-step explanation:

The standard form equation for a circle of radius r and center (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

For radius 3 and center (3, 5), this is ...

  (x -3)^2 +(y -5)^2 = 9 . . . . standard form equation

Expanding this and subtracting the constant on the right gives ...

  x^2 -6x +9 +y^2 -10y +25 -9 = 0

  x^2 +y^2 -6x -10y +25 = 0 . . . . general form equation

How many beans stacked on top of each other would it take to reach the moon. And we're talking Lima beans here.

Answers

Answer:

I would say more than 4 billion...

Step-by-step explanation:

Robin saved money during the months of July and August can some one help me

Answers

Step-by-step explanation:

(340*20)-3

HOPE IT HEPL U

Which of the following terms have a GCF of ? Select two options.

Answers

Answer:

hi please upload the photo so we can help :)

Answer:

A:12p^3r and D:54p^3

Step-by-step explanation:

PROBLEM IS ABOVE PLEASE HELP

Answers

Answer:

A

Step-by-step explanation:

slant height of the exagon = side/2 * √3 = 2.5√3 cm

area of the hexagon = (side * slant height)/2 * 6 = (5 * 2.5√3)/2 * 6 = 64,951905 cm^2

Volume of the prism = area of the hexagon * height = 974,278579 cm^3

Volume of the cylinder = radius^2 *  pi * height = 36 * pi * 15 = 1.696,460033 cm^3

volume of the kaleidoscope = 722,181454 cm^3

Select all the numbers that show 4% as an equivalent fraction, decimal, or percent.
[] 0.04
[] 40%
[] 10
[] 4
[] 100
[] 0.4

Answers

0.04 is the only right one
All that can be devised by 4
Which is 0.04, 40, 4, 0.4

10 and 100 can’t

you spin the spinner once
What is P(5)?

Answers

0-10

A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.

The probability of getting 5 on spinner is 0.25.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, on the spinner there are four numbers {3, 4, 5, 6}.

Number of favorable outcomes = 1

Total number of outcomes = 4

So, P(5) = 1/4

= 0.25

Therefore, the probability of getting 5 on spinner is 0.25.

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Which pair of angles are vertical angles?

A) B) C) D)

Answers

Answer:

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal.

here,vertically opposite angles are

angle RQW and angle TQU

angle RQV ang angle SQU

angle SQR and angle UQV

angle WQV and angle SQT

What is m∠CDE? pls help

Answers

Answer:

68

Step-by-step explanation:

∠ACB = ∠DCE

          = 180-92/2

          =44

∠CDE = 180 - 44 / 2

         68

what is the price of a mobile set whose marked priced is Rs.15000 and 13% vAT was levied after allowing 20%discount on it.​

Answers

Answer:

Rs. 18080

Step-by-step explanation:

Given :

Marked price = Rs. 20000

Discount = 20%

Discounted price = (100-20)% * marked price

Discounted price = 80% * 20,000 = Rs. 16,000

The VAT = 13%

VAT charge = 13% * 16,000 = Rs. 2080

Final price = discounted price + VAT charge

Final price = 16000 + 2080 = Rs. 18080

Tommy is putting a wooden frame around his living room stained glass window shown below. Before he can build the frame,
he needs to find the perimeter of the window.
7 feet
4 feet
If the rectangular window is 7 feet long by 4 feet wide, what is the perimeter of the window?
OA.
14 feet
ОВ.
28 feet
OC.
11 feet
OD
22 feet

Answers

The perimeter of window is 28 feet

PLEASE HELP!!!
The number of adults who have seen a new family play at the local theater, measured in hundreds of people, is represented by the
function a (w) = -0.4w2 + 3w + 8, where w is the number of weeks since the play opened.
The number of children who have seen the same play, measured in hundreds of people, is represented by the function
c (w) = -0.3w2 + 2w + 13, where w is the number of weeks since the play opened.
What function, d (w). can be used to determine how many more children than adults have seen the play in any week?
d (w) = -0.1w2 + 5W + 21
d (w) = 0.1w2 – w+ 5
d (w) = -0.1w2 – w + 5
Od (w) = 0.1w2 + 5W + 5

Answers

Answer:

d (w) = 0.1w² – w+ 5

Step-by-step explanation:

d(w) = c(w) - a(w)

= -0.3w²+2w+13 -(-0.4w²+3w+8)

= -0.3w²+0.4w²+2w-3w+13-8

= 0.1w²-w+5

Answer:

d (w) = 0.1w2 – w+ 5

Step-by-step explanation:

I took the test

the equation of a straight line is 2y+6x=-8.find the gradient of the line​

Answers

Step-by-step explanation:

Y= mx + c

2y = 3x - 8

2y = -3× - 8 ( divide all yerms by two )

y = -3 × 4

2

y = -3

2

What is the length of AB?

Answers

Answer:

B. 6

Step-by-step explanation:

We can see that through angles A and C that this triangle is an isosceles triangle. Knowing that, we can set up the equation 3x=4x-2. We can simplify by adding 2 two both sides. We get the equation 3x+2=4x. Then we subtract 3x from both sides. So therefore, 2=x. Length AB is 3x so we would do 2*3, which is equal to 6. So your answer would be B. 6.

PLEASE HELP!! WILL GIVE BRAINLEIST FOR AN ACTUAL Answer

Answers

72/360 = x/10pi

1/5 = x/10pi

x = 2pi

6.3 cm

Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a true-false examination consisting of 26 questions.

Answers

Answer:

2^26

Step-by-step explanation:

For a true - false examination ; number of options or possible outcomes = 2

Number of questions = 26

Using the counting principle ; the number of elements in the sample space ;

(2 * 2 * 2 *... * 2) for the entire 26 questions

This is equivalent to : 2^26

2^26 = 67108864


Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter.
How many cubic inches of soda are contained in a full can?

Answers

Answer:

Volume of soda in soda can = 43.1 inches³ (Approx.)

Step-by-step explanation:

Given:

Height of soda can = 7 inches

Diameter of soda can = 2.8 inches

Find:

Volume of soda in soda can

Computation:

Radius of soda can = Diameter of soda can / 2

Radius of soda can = 2.8 / 2

Radius of soda can = 1.4 inches

Volume of soda in soda can = Volume of cylinder

Volume of soda in soda can = πr²h

Volume of soda in soda can = (3.14)(1.4)²(7)

Volume of soda in soda can = (3.14)(1.96)(7)

Volume of soda in soda can = 43.1 inches³ (Approx.)

How would I figure this out?

Answers

Answer:

IGJ=90-38

=52

answer is option c

Find the area of each triangle
8 yd
8 yd

Answers

Answer:

Area of triangles 1 = 18 ft²

Area of triangles 2 = 16 in²

Area of triangles 3 = 90 yd²

Step-by-step explanation:

Given:

1] Height of triangle = 4 ft

Base of triangle = 9 ft

2] Height of triangle = 4 in

Base of triangle = 8 in

3] Height of triangle = 12 yd

Base of triangle = 15 yd

Find:

Area of triangles

Computation:

Area of triangles = (1/2)(Base)(Height)

Area of triangles 1 = (1/2)(4)(9)

Area of triangles 1 = 18 ft²

Area of triangles 2 = (1/2)(4)(8)

Area of triangles 2 = 16 in²

Area of triangles 3 = (1/2)(12)(15)

Area of triangles 3 = 90 yd²

Calculate the total cost, total depreciation, and annual depreciation for the following assets by using the straight-line method. Cost Shipping Charges Setup Charge Total Cost Salvage Value Estimated Useful Life (years) Depreciation Total Annual
1. $5,600 $210 $54 ______ $600 6
2. $16,900 $310 0 ______ $1900 4

Answers

Answer:

a. For Asset 1, we have:

Total cost = $5,864

Total depreciation = $5,264

Annual depreciation = $877.33

b. For Asset 2, we have:

Total cost = $17,210

Total depreciation = $15,310

Annual depreciation = $3,827.50

Step-by-step explanation:

Note: The data in this question are merged together. They are therefore sorted before answering the question. See the attached pdf for the complete question with the sorted data.

Also note: See the attached excel file for the presentation of the data in the question with the answers (in bold red color).

The explanation of the answers is now given as follow:

Straight line method is a method of calculating depreciation and amortization of an asset by dividing the difference between the total cost and salvage value of an asset by its estimated useful life.

Therefore, wee have:

a. For Asset 1, we have:

Total cost = Cost + Shipping Charges + Setup Charge = $5,600 + $210 + $54 = $5,864

Total depreciation = Total cost - Salvage Value = $5,864.00 = $600 = $5,264

Annual depreciation = Total depreciation / Estimated Useful Life = $5,264 / 6 = $877.33

b. For Asset 2, we have:

Total cost = Cost + Shipping Charges + Setup Charge = $16,900 + $310 + $0 = $17,210

Total depreciation = Total cost - Salvage Value = $17,210 - $1,900 = $15,310

Annual depreciation = Total depreciation / Estimated Useful Life = $15,310 / 4 = $3,827.50

Find the LCM of the polynomials.
x² - x - 42
x2 + x - 56

Answers

Answer:

x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)

Step-by-step explanation:

Factor each equation.

x^2-x-42= (x-7)(x+6)

x^2+x-56= (x-7)(x+8)

The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.

(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.

When evaluated, which expression has a result that is a rational number?

Answers

Answer:

√144 * 0.25 is rational!

Step-by-step explanation:

Hello if you're able to answer this question help me and provide work as well, Thank you.

Answers

Answer:

answer is option B since they are in GM

Answer:

[tex]\text{b. }786,432[/tex]

Step-by-step explanation:

The [tex]n[/tex]th term of a geometric sequence is given by [tex]a_n=a_1\cdot r^{n-1}[/tex].

What we know:

[tex]a_1[/tex] is 3 [tex]r[/tex] is 2 (common ratio, each term is being multiplied by 2)

Substituting given values, we get:

[tex]a_{19}=3\cdot 2^{19-1},\\a_{19}=3\cdot 2^{18}=\boxed{\text{b. }786,432}}[/tex]

The following data represent weights (pounds) of a random sample of professional football players on the following teams. san francisco 49ers and green bay packers

X1 = weights of players for the Dallas Cowboys
X2 = weights of players for the Green Bay Packers
X3 = weights of players for the Denver Broncos
X4 = weights of players for the Miami Dolphins
X5 = weights of players for the San Francisco Forty Niners

You join a Fantasy Football league and you are wondering if weight is a factor in winning Football games. At a 5% level of Significant, determine if the weights of football players on each of these teams is same or different?

Answers

Answer:

The answer is "272.02 ".

Step-by-step explanation:

Please find the complete solution in the attached file.

Find the value of x.

Answers

Answer:

Hello! answer: 84

Step-by-step explanation:

This is 360 degrees therefore 84 is the answer

84 + 84 + 96 + 96 = 360 degrees

Find the solution set of this inequality. Select
the correct graph.
|-8x+4|>12

Answers

Answer:

The first option is correct

Step-by-step explanation:

Hope it is helpful....

I’m so horrible at math, please help

Answers

Answer: 23

=21 ÷(14-11)+2⁴
=21 ÷3+16
=7+16
=23

Explanation: Use PEMDAS to simplify the expression. Parentheses, exponents, multiply, divide, add, and subtract.

P - Parenthesis ( )

E - Exponents ²

M - Multiplication ×

D - Division ÷

A - Addition +

S - Subtraction -

Question : 21 ÷ (14 - 11) + 2⁴

1st step : Subtract the two numbers inside the Parenthesis

⇒   21 ÷ 3 + 2⁴

2nd step : Calculate the value of 2⁴ which is related to Exponents

⇒   21 ÷ 3 + 16

3rd step : Perform Division

⇒   7 + 16

4th step : Perform Addition

⇒   23

Answer: 23

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