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

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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:

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.

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:

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.

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 !!!

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

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

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

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

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 :)



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

Please help with this!

Answers

Answer:

Expression is 2(l+w)

Step-by-step explanation:

l is length and w is width

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

Answers

Being supplementary angles

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

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

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

anyone knows the answer

Answers

232 jdjdjsbsihdjdjdkkdjdjddo

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.

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

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.

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

pls answer this asap no wrong answers pls

Answers

Answer:

They have the same y-intercept of -6.

The intercept is the same -6

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:

$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 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

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

Plz help me with this

Answers

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

help please!! graphs and functions

Answers

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

hii please help i’ll give brainliest!!

Answers

Answer:

first answer

Step-by-step explanation:

yeaaaaaaaaaa

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

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 :)

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