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

Find the area of the image

Answers

Answer:

I think the answer is 4/3

Step-by-step explanation:

I just substitute

Area =length x width

Area=3X^2-4X(4X^2+5X)

12X^4+15X^3-16X^3-20X^2

12X^4-X^3-20X^2

X^2(12X^2-X-20)

Hiiiooo! Can someone please help out❤️❤️❤️❤️:D

Answers

Answer:

x = 14.6

Step-by-step explanation:

hopes this helps

Choose Yes or No to tell whether the symbol will be reversed when the variable is isolated in each inequality.
–10.5 < 3a
b/6 ≤ 7
–4.5c > 9
–21/5 ≤ –5/2d
Please I need this answer right away!!!

Answers

Answer:

No, no, yes, yes

Step-by-step explanation:

–10.5 < 3a ⇒ -3.5 < a ⇒ a > -3.5

no as variable has positive coefficient

b/6 ≤ 7 ⇒ b ≤ 42

no as variable has positive coefficient

–4.5c > 9 ⇒ c < - 2

yes as variable has negative coefficient

–21/5 ≤ –5/2d ⇒ (-21/5)*(-2/5) ≥ d ⇒ d ≤ 42/25

yes as variable has negative coefficient

Solve: 6 divided by 1/6

Answers

Answer:

0.1 I think

Step-by-step explanation:

Help PLEASE 10pts CMON PEOPLE I NEED TO FINISH THIS TODAY

Answers

Answer:

451054547.5

Since total sum of interior angles of a triangle is 180 Do the calculation you will get it

plz help me asap I need help 1k point ​

Answers

Answer:

y=27

Step-by-step explanation:

Hello There!

The shown angles are alternate exterior angles

Alternate exterior angles are congruent so

3y+53=7y-55

step 1 add 55 to each side

-55+55 cancels out

53+55=108

now we have

3y+108=7y

step 2 subtract 3y from each side

7y-3y=4y

now we have

4y=108

step 3 divide each side by 4

4/4y=y

108/4=27

we're left with y = 27

Answer:

y = 27

Step-by-step explanation:

The two lines cut by a transversal are parallel, so alternate exterior angles are congruent.

7y - 55 = 3y + 53

4y = 108

y = 27

55 x 32 / 32
HELPPP GIVING BRAINLIEST

Answers

Answer:

55

Step-by-step explanation:

Just multiply then divide:

55 x 32 = 1760

1760 ÷ 32 = 55

Or just easier like:

55 x 32 ÷ 32 = 55

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

are these numbers linear or non-linear
x- 0, 1, 2, and 3
y- 1, 3, 6, and 10

Answers

These numbers are linear

Gabriela walked to school on 16 of the 24 school days in March. Which value is equivalent to the fraction of the school days in March that Gabriela walked to school? If you do have the answer please put it in with the question so I can see it thank you so much

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

A fraction is a quantity that is not a whole number. In maths, a fraction usually has a numerator and a denominator.

The numerator is the number above. While the denominator is the number below

an example of a fraction = [tex]\frac{4}{5}[/tex]

4 is the numerator while 5 is the denominator

In this question, the numerator would be the number of times she walked to school in march(16). While the denominator would be the number of school days in March

[tex]\frac{16}{24}[/tex]

the above fraction is not in its simplest form. To express in its simplest form, divide both numerator and the denominator by 8 . this gives

[tex]\frac{2}{3}[/tex]

graph the solution to this inequality on the number line. -4x+7>x-13

Answers

Answer:

the solution is x<4 (color green)

Step-by-step explanation:

hello :

draw the graph for the line : y= x-13 ( color bleu)

draw the graph for the line : y= -4x+7 ( color red)

the solution is x<4 (color green)

Make t the subject of the formula.

Please help.

Answers

Answer:

[tex]t = \frac{2-3q}{q+4}[/tex]

Step-by-step explanation:

[tex]q = \frac{2-4t}{t+3}\\\\[/tex]

Cross multiply,

q(t+3) = 2 - 4t        

Use distributive property: a*(b + c) =(a*b) + (a*c)

qt + 3q = 2- 4t

qt + 4t + 3q = 2

  qt + 4t     = 2 - 3q

    t(q + 4)  = 2 -3q

               [tex]t = \frac{2-3q}{q+4}[/tex]

Matt wanted to buy a new mountain bike. The bike he wants to buy costs $319. He received $85 for his birthday and earned another $147 from his job as an Uber driver. How much more money will he need in order to buy the mountain bike?

Answers

Answer:

he will need $87 more to buy a mountain bike.

Step-by-step explanation:

85+147= 232 dollars that he has all together.

subtract that from the total cost of the bike (319-233= $87 more to buy a bike.)

i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported

Answers

Answer:

for volume you multiple l*w*h so 2)432 4)1,216

Find the side length of a square with
area 16/49 square inches.

Answers

Each side of a square is the same, so the area of a square is one side times another of the same length. In other words it's side x side or side2

This is where we get the term "square root".

s2 = 49
take the square root of each side
s = 7

The side length of this square is equal to [tex]\frac{4}{7}\;inches[/tex]

Given the following data:

Area of a square = [tex]\frac{16}{49}[/tex] square inches.

To determine the side length of this square:

In this exercise, you're required to solve for the length of the sides of a square that has an area of  [tex]\frac{16}{49}[/tex] square inches.

Formula for the area of a square.

Mathematically, the area of a square is calculated by using the formula;

[tex]A=S^2[/tex]

Where;

S is the length of each sides of a square.

Substituting the value into the formula, we have;

[tex]\frac{16}{49}=S^2[/tex]

Taking the square root of both sides, we have;

[tex]S=\sqrt{\frac{16}{49}} \\\\S=\frac{4}{7}\;inches[/tex]

Read more on area of a square here: https://brainly.com/question/16758129

4/5x+5=9 solve for x please i have 8 questions left!!!!!!!!!!!

Answers

Answer:

x= 5

Step-by-step explanation:

You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.

In the year 2007, a person bought a new car for $23500. For each consecutive year after that, the value of the car depreciated by 9%. How much would the car be worth in the year 2010, to the nearest hundred dollars?

Answers

Answer:

17155

Step-by-step explanation:

23500-27%-17155

To the nearest hundred: 17200.

I only need b par plz ฅ^•ﻌ•^ฅ

Answers

Line 1 slope=0.25
Line 2 slope = -4
Line 3 slope = -1/3
Line 1 and 2 are perpendicular, the rest are neither

calculate the rate of change

Answers

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

The perimeter of an equilateral triangle is 6x - 24. Which expression represents the length of one side?

Answers

Answer:

side = 2x - 8

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

The perimeter is 3 times one side

In this case P = 6x - 24

Side = p/3 = (6x - 24)/3

Side = 2x - 8

A school has 300 students.If the ratio of boys to girls is 31 to 44, how many more girls are there in the school?

Answers

Answer:

there would be 52 more girls I think

Step-by-step explanation:

let x = multiplier then

31x =number of boys

44x = number of girls

Boys + girls = 300

44x + 31x =300

75x = 300

x = 300/75

x = 4 is the multiplier

therefore:

44*4 = 176 girls

31*4 = 124 boys

dif = 52 more girls than boys

hope this helped :)

The line y = 2x +k is a tangent to the curve x² + 2xy + 20 = 0.
a Find the possible values of k.
b For each of these values of k, find the coordinates of the point of contact
of the tangent with the curve.​

Answers

a is 23.4 and b should be k point at 26

15.00 + 1.75x > 7.50 + 2.25

Answers

Answer:

Step-by-step explanation:

For rhombus GHJK, find m21.
Η
1280
Ο 128
Ο 38
O 90

Answers

Answer:

38

Step-by-step explanation:

128 + angle G= 180

angle G = 180-128= 52

m+ 52 = 90 ( complementary angles)

m= 90-52= 38

PLS NEED HELP DON'T UNDERSTAND ONE PART

Answers

Answer:

Step-by-step explanation:

Work = (12 - 2) x 180 = 10 x 180 = 1800 degrees

Answer = 1800 degrees

Hope that helps!

Answer: .

Step-by-step explanation: okay so the formula to complete this is (n-2) x 180. Which basically is the number of sides, minus 2, and times that answer by 180. So (12-2)x 180.

explain how rain gauge measures the amount of rainfall​

Answers

Answer: A rain gauge measures the amount of rainfall based off of the amount collected in the cylinder.

Step-by-step explanation: A rain gauge is really just a cylinder that catches rain. If an inch collects in the cylinder, it means an inch of rain has fallen. It's that simple. Most standard rain gauges have a wide funnel leading into the cylinder and are calibrated so that one-tenth of an inch of rain measures one inch when it collects inside.

What is the total area of the desk in square feet?

Answers

Answer:

64ft

Step-by-step explanation:

What is the remainder when p(x) is divided by (x+1)

Answers

Step-by-step explanation:

WHEN A POLYNOMIAL P(X) IS DIVIDED BY (X+1), THEN THE REMAINDER WILL BE 3.

Answer:

3

Step-by-step explanation:

help asap
Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

Answer:

just multiply all the sides

Step-by-step explanation:

Answer:

i just need the point thank you

Step-by-step explanation:

Please help me ASAP

Answers

Answer:

b

Step-by-step explanation:

Answer:

Option B.

Step-by-step explanation:

A player in a game must roll a fair six-sided number cube and then flip a coin. What is the probability of a player rolling 4 and then flipping a heads?

Answers

Answer:

Step-by-step explanation:

P(4) = 1/6

P(h) = 1/2

P(both) = 1/2 * 1/6 = 1/12

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