What is the sum of the interior angles of a regular polygon with 42 sides?

Answers

Answer 1

Answer:

42

Step-by-step explanation:

A regular polygon with 42 sides where the length of each side is 2 units. The units may either be inches or cm or km or miles: any unit of length.

You are given a Regular Polygon with 42 sides. What are the interior angles and exterior angles?

If the length of each side is 2 units, what is the perimeter, area, circum-radius and in-radius of the polygon?

n = 42

Perimeter of a polygon with 42 sides = (side length) x 42 = 84 units

Area of a polygon with 42 sides = (n x Side2 x cot (Π/n))/4 = (n x 22 x cot (Π/42))/4 = 560.45 square units

Sum of the interior angles of a polygon with 42 sides =  (n-2) x 180 degrees =  (42-2) x 180 degrees = 7200 degrees

Interior Angle of a polygon with 42 sides = (n-2) x 180/n degrees = (42-2) x 180/42 degrees = 171.42 degrees

Exterior angle of a polygon with 42 sides = 180 - Interior Angle = 180 - 171.42 = 8.57 degrees

Inradius = Radius of In-circle = (side length) x cot (Π/42) = 2 x cot 4 = 26.68 units

Circumradius = Radius of Circum-circle = (side length) x cosec (Π/42) = 2 x cosec 4 degrees = 26.76 units

Symmetry Group = D42  42 rotational symmetries and 42 reflection symmetries. The "D" stands for di-hedral.


Related Questions

help
Write the equation of the line that passes through the points (-4,3) and (-9,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y = 3

Step-by-step explanation:

Since they both go through 3 for the y-coordinate that means the equation is just y = 3.

Round your answer to the nearest hundredth if necessary. A figure is shown. 8X 44.49 What is the measure, in degrees, of the shaded angle?​

Answers

You can download answer here

tinyurl.com/wpazsebu

If Z3 and 25 are adjacent and
supplementary, what reason could support
the following statement?
Statement
23+ 25 = 180°
Reason
[?]

Answers

Being supplementary angles

Consider △XYZ Triangle X Y Z is shown. Angle X Z Y is a right angle. What are the ratios of sine, cosine, and tangent for angle Y? sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Z EndFraction; tan(Y) = StartFraction Y Z Over X Y EndFraction sin(Y) = StartFraction X Y Over X Z EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction Y Z Over X Z EndFraction sin(Y) = StartFraction X Z Over X Y EndFraction; cos(Y) = StartFraction Y Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction sin(Y) = StartFraction Y Z Over X Y EndFraction; cos(Y) = StartFraction X Z Over X Y EndFraction; tan(Y) = StartFraction X Z Over Y Z EndFraction

Answers

Answer:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

[tex]\cos Y= \frac{YZ}{XY}[/tex]

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find [tex]\sin, \cos[/tex] and [tex]\tan[/tex] of angle Y

For angle Y:

[tex]Opposite = XZ[/tex]

[tex]Adjacent = YZ[/tex]

[tex]Hypotenuse = XY[/tex]

The [tex]\sin[/tex] of an angle is calculated as:

[tex]\sin\theta = \frac{Opposite}{Hypotenuse}[/tex]

So:

[tex]\sin Y= \frac{XZ}{XY}[/tex]

The [tex]\cos[/tex] of an angle is calculated as:

[tex]\cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]

So:

[tex]\cos Y= \frac{YZ}{XY}[/tex]

The [tex]\tan[/tex] of an angle is calculated as:

[tex]\tan\theta = \frac{Opposite}{Adjacent}[/tex]

So:

[tex]\tan Y= \frac{XZ}{YZ}[/tex]

Answer:

C, short answer

Step-by-step explanation:

trust

3. F (7,-2). If F is rotated 90 degrees about the origin. What are the
coordinates of F?

Answers

Well you said the Coordinates of F  (7,-2) rotated 90 degrees

Y'all what's the answer?

Answers

Parallel = has same slope
On points( 3,4) (-2,2)
(2-4)/(-2-3) = -2/-5 = 2/5 slope

Use same formula: (y2-y1)/(x2-x1)

Find the slope of the other points:
(-2,-5) and (-7,-3)
(-3-(-5))/(-7-(-2)) = 2/-5 = -2/5

(-1, 1) and (-6, -1)
(-1-1)/(-6-(-1)) = -2/-5 = 2/5

(0,0) and (2,5)
(5-0)/(2-0) = 5/2

(1,0) and (6,2)
(2-0)/(6-1) = 2/5

(3,0) and (8,2)
(2-0)/(8-3) = 2/5

Which has same slope of 2/5?
You can see :)



I need help on this please!

Answers

Answer:

H, G, F, E

Step-by-step explanation:

If it isn't it's G, H, F, E

Hope this helps

im just looking for 25/4 (that's a fraction) divided in 3.

Answers

Answer: 2.083
Have a good day :D

Answer:

[tex] \frac{25}{12} [/tex]

Step-by-step explanation:

1) Use this rule: a ÷ b/c = a × c/b.

[tex] \frac{25}{4} \times \frac{1}{3} [/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{25 \times 1}{4 \times 3} [/tex]

3) Simplify 25 × 1 to 25.

[tex] \frac{25}{3 \times 4} [/tex]

4) Simplify 3 × 4 to 12.

[tex] \frac{25}{12} [/tex]

Therefor, the answer is 25/12 and in decimal form it would be, 2.083333.

Write an equation for the data in the table. Identify your variables.

Answers

First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2

[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]

Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept

Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b

y = 15x - 20

y is the money in the bank account in dollars

x is the day

I hope everyone who sees this has a wonderful day :)

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: That is a common saying used in the USA as well as many other places. People enjoy when people say this because it helps them feel good and be grateful!

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
a. Identify the slope and y-intercept from the information given.
Slope:
y-intercept:

Answers

Answer:

Slope: 10

Y-intercept= 30

Step-by-step explanation:

y= mx + b

m = slope

b = y-intercept

y= 10x + 30

Slope: 10

Y-intercept= 30

WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY!!!!!!!!

Answers

Answer:

I can't make out whether you're asking for = or ≅. It's too blurry.

A) Triangle ΔEFG is equal

ΔEFG, RSY, and XYZ are congruent

Step-by-step explanation:

The parallelogram shown below has an area of 72 units?.
h
13
Find the missing height.

Answers

Answer:

area is given base is given so area of parallelogram =b x h

or 72=13 x h

or h =72/13=5.5 units

Answer:12

Step-by-step explanation:

pls help me fill this one out

Answers

Answer:

x=1

Step-by-step explanation:

Just look at the x axis and see where the coordinate lands on and it's 1

$10,000 compounded every 2 years with a 10% interest rate. How much will this be worth in 10 years

Answers

$110,000

I got this answer from multiplying 10,000 by 10 then adding 10% of 10,000 (which is one thousand) 10 times, which got me an additional 10,000, and that's how I got my answer. Please comment on this answer and tell me if it is wrong, I really hope it isn't wrong. I also hope this helps you on your way, have a great day!

A town total allocation for firefighters wages and benefits in a new budget is $600,000. If wages are calculated at $40,000 per firefighter and benefits at $20,000 per firefighter. How many firefighters can the town employ if they spend their whole budget?

Answers

Answer:

Number of firefighters= 10

Step-by-step explanation:

Giving the following information:

Total budget= $600,000

Wage per firefighter= $40,000

Benefits per firefighter= $20,000

To calculate the number of firefighters that the town can employ, we need to use the following formula:

Number of firefighters= total budget / total cost per firefighter

Number of firefighters= 600,000 / (40,000 + 20,000)

Number of firefighters= 10

SU and VT are chords that intersect at point R. A circle is shown. Chords S U and V T intersect at point R. The length of S R is x + 6, the length of R U is x, the length of V R is x + 1, and the length of R T is x + 4. What is the length of line segment VT? 4 units 8 units 13 units 14 units

Answers

Answer:

13units

Step-by-step explanation:

If SU and VT are chords that intersect at point R, then;

SR/RT = VR/RU and VT = VR + RT

Given the following

SR= x+6

RU = x

VR = x+1

RT = x+4

Substitute into the expression above;

x+6/x+4 = x+1/x

Cross multiply

x(x+6) = (x+1)(x+4)

Expand

x^2+6x = x^2+4x+x+4

x^2+6x = x^2+5x+4

x^2 will cancel out from both sides

6x = 5x+4

6x-5x = 4

x = 4

Get VT

VT = VR + RT

VT = x+1 + x+4

VT = x+x+1+4

VT = 2x+5

Since x = 4

VT = 2(4) + 5

VT = 8+5

VT= 13 units

Hence the length of the line VT is 13units

Answer: just so you have proof my homie above is correct

Step-by-step explanation:

got it right on edge

I really need help Please thank you​

Answers

Answer:

D

Step-by-step explanation:

the median is 85, the mean is 85, the mode is 80.

it can't be A, B, or C. so it must be D.

WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY!!!!!!


LMNP is rotated 90' clockwise around the origin.
8
7
6
5
4
M(3, 4) N(5, 4)
3
2
1
LO1)
2
P19,0)
3
4
5
6
7
8
9
What are the coordinates of N'?
O A. N'(4,-5)
O B. N'(-5, -4)
C. N'(-4,5)
D. N'(5,-4)

Answers

Answer:

B

Step-by-step explanation:

Answer:

im not sure but it may be B as if i cant see the photo

Step-by-step explanation:

tell me if i got it right or wrong :)

Select the expression that is equal to –10(4x – 5).

Answers

Answer:

-2 (20x - 25)

Step-by-step explanation:

Answer:

40x - 50

Step-by-step explanation:

10(4x)= 40x

10(-5)= - 50

40x - 50

7(5x + 7) = 399 can someone tell me what is x with steps please and thank you

Answers

Answer:

x = 10

Step-by-step explanation:

[tex]7(5x+7)=399\\\\35x+49=399\\\\35x+49-49=399-49\\\\35x=350\\\\\frac{35x=350}{35}\\\\ \boxed{x=10}[/tex]

Hope this helps.

Please help with this!

Answers

Answer:

Expression is 2(l+w)

Step-by-step explanation:

l is length and w is width

V=pi r ^2 h solve for pi
Pls help me I can’t figure this one out...

Answers

Answer:

pi = V - r^2

Step-by-step explanation:

subtract r^2 from both sides !!!

HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP

Answers

Answer:

C

Step-by-step explanation:

Hello There!

so

y = -5x^2 + 8x +4

where y = height of ball and x = seconds after ball was thrown

The plus 4 is the y intercept and because y equals height of ball the 4 would represent the height that the ball was thrown at

~TheMathWiz

Answer:

It is C

Step-by-step explanation:

hii please help i’ll give brainliest!!

Answers

Answer:

first answer

Step-by-step explanation:

yeaaaaaaaaaa

Plz help me with this

Answers

16 !!!!!!!!!!!!!!!!! 32 divided by 2 is 16
Have a cute puppy!! It’s my puppy

a pair of shoes costs $45 at joe's Emporium, and the same pair costs $56 at Fran's Shoes. what is the difference in price between Joe's Emporium and Fran's Shoes?

Answers

Answer:

$11

Step-by-step explanation:

to find the difference you subtract

56 - 45 = 11

pls answer this asap no wrong answers pls

Answers

Answer:

They have the same y-intercept of -6.

The intercept is the same -6

help please!! graphs and functions

Answers

I thjnk is the last one
The answer is C. g(x)

anyone knows the answer

Answers

232 jdjdjsbsihdjdjdkkdjdjddo
Other Questions
What are the first six multiples of 18 A cell is the intersection of a row and a column, identified by a letter and number.True or false I :to help get supplies to all of these people a _______was built in san Pedro to help get supplies to los Angeles here or the answers:A. petroleumB. ranchingC. harborD. owens vallyE .reservoris6.G.aqueduct What is another name for the Supreme Court The height (in inches) of males in the United States is believed to be Normally distributed. The average height of a random sample of 50 American adult males is 69.72 inches and the standard deviation of the 50 heights is s = 4.23. The best pint estimate for the average height if males in the United States is_____inches. Give answer to the hundredths place. Organizations with low turnover and satisfied employees tend to perform better. On the other side of the coin, organizations have to act when an employee's performance consistently falls short. Based on these concepts, organizations may distinguish between involuntary and voluntary turnover, recognize their effects on the organization, develop measures to encourage top performers to stay, and develop ways to manage the separation process fairly. Any organization wants to retain good performers and encourage or force low-performing employees to leave. There are two types of employee turnover. Involuntary turnover occurs when the employer requires employees to leave, often when they would prefer to stay. This action may potentially result in lawsuits and violence. Voluntary turnover occurs when employees initiate the turnover, often when the organization would prefer to keep them. These employees may retire or leave to work with different organizations. Both types of turnovers are costly because of subsequent needs to recruit, hire, and train replacements. Roll over each of the following items, read the statements, and place them in the appropriate columnin the chart. Each category has three statements.1. Any reason 2. Workplace violence3. Better job 4. Retirement 5. Refusing 6. Violating 7. Promise 8. Careers 9. Employee layoffA. Voluntary Turnover B. Involuntary Turnover C. Employee at Will Doctrine The International Astronomical Union (IAU) defines a constellation by its:boundarystar patternbrightest starGreek name Help me with this asap pls Help!!!!!!pleaseWho will give the answer I'll mark him/her as brainlist.. What do you want to be when you grow up? According to a nationwide survey of a random sample of 1000 kids under the age of 12 some kids want to be a ninja, a dragon keeper, a dancing unicom, and even an octopus. Fifty-five of the 1000 kids want to be a doctor. We would like to use this study to find a 98% confidence interval for the true proportion of kids who want to be a doctor.a. Identify the parameter of interest.b. Check if the conditions for constructing a confidence interval for p are met.C. Find the critical value for a 98% confidence interval. Then calculate the intervald. Interpret the interval in context which inequality represents the sum of x and y is at most 15?a.)x-y_>15b.)x-y_15d.)x-y 4. Suppose GDP is $15 million, private saving is $3 million, consumption is $8 million, public saving is $2 million. Assume the economy is closed.(a) Calculate taxes minus transfer payments (T), government purchases (G), national saving (S), and investment (I).(b) Is the government running a deficit or a surplus.? Explain On June 15, Oakley Inc. sells inventory on account to Sunglass Hut (SH) for $3,500, terms 2/10, n/30. On June 20, SH returns to Oakley inventory that SH had purchased for $800. On June 24, SH completely fulfills its obligation to Oakley by making a cash payment. What is the amount of cash paid by SH to Oakley 2. Sheila can frame in a room in 5 hours. David can do the same job in 4 hours.Working together, how long would it take them to frame in a room? Can someone help me please At a middle school, 40% of seventh graders have takenswimming lessons. If there are 250 studnets in theseventh grade, how many of them have taken swimminglessons? A frase "O gato preguioso como uma segunda-feira." um oximoro ou no BRAINLIEST + 10 POINTS!! :)____ is a federally-subsidized pre-kindergarten program.Head StartRace to the TopNo Child Left BehindCommon Core WILL GIVE BRAINLIEST Screen-printing a batch of shirts requires 4 minutes per shirt in addition to 10 minutes of initial set-up time. How long does it take to screen-print a batch of 17 shirts? Which areas in Japan have the lowest elevations?lands near the coastmountainous areasforested areaslands near volcanoes