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

Write an equation in slope-intercept form: (7,7) and (-3,7) are on the line

Answers

Answer:

The only equation that would work is y=7

Step-by-step explanation:

I’m pretty sure one that would work is y=7

The width of your desk is 26 inches. How long is 75% of the width? Round to the nearest tenth if necessary.

Answers

Answer:

19.5

Step-by-step explanation:

Mutiply 26 by .75

Which functions are correctly graphed?

Select all the correct answers

Answers

the second one, and the third one

According to the function Graph 2 , 3 and 4 are correctly graphed.

What are Functions ?

It is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

To determine which are the functions whose domain value match with that of the graph drawn ,

The values of the domains needs to be checked at various points , those graph are drawn correctly will correlate with the function values.

Graph 1 is not correctly graphed

Graph 2 , 3 and 4 are correctly graphed according to the function.

To know more about the function

https://brainly.com/question/12431044

#SPJ5

If the graph of the function moves to the right two units what is the new vertex of the function

Answers

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence

I = prt solve for( r)​

Answers

Answer:

r = [tex]\frac{l}{pt}[/tex]

Step-by-step explanation:

Given

l = prt ( isolate r by dividing both sides by pt )

[tex]\frac{l}{pt}[/tex] = r

Solve the equation:

3/4x = 12

Enter the answer in the box. Enter your numerical answer in the box, do not include words or spaces.

Answers

Answer:

3/4x=12

3=4x*12

3=48x

3/48x=1/16

x=1/16

two printers working together can print a 250 page book in 30 minutes. printer a takes twice as long as printer b to print the same book. how long would it take each printer working alone to print the book. let the variable x = how many minutes it takes to print the book. Using units of books/minutes, write an equation involving rates using rational functions, solve for x, and interpret the results in context.​

Answers

Me das mas información porfa?

Kate wanted to sell a box of candy bars to raise money for her team. She sells 1/4 of the box at school. And 1/2 of the box to her neighbors. What fraction of the candy bars dose kate still have to sell. Put your answer in simplest form

Answers

Answer: 1/4

Step-by-step explanation:

Fraction of the box of candy bars sold at school = 1/4

Fraction of the box of candy bars sold to neighbor = 1/2

Therefore, the fraction that she has sold already will be:

= 1/4 + 1/2

= 1/4 + 2/4

= 3/4

The fraction of the candy bars that Kate still have to sell will be:

= 1 - 3/4

= 1/4

Kate has 1/4 candy bars left to sell

Someone help me with this

Answers

Answer:

And it was not the first time that a lot of the people to a new report by a single limited few single few group an

Step-by-step explanation:

I have been using the address of the most important thing to remember is that you have the right to be able to use the same time as I thing

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answers

Answer:

4.1 kilograms

Step-by-step explanation:

A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

= 7.6 kilograms - 3.5 kilograms

= 4.1 kilograms

pls hurry will give brainlyest or whatever !!!

Which coordinate rule matches this description? Dilation of original by 5.

(5x, y)

(x+5, y+5)

(5x, 5y)

(x, 5y)

Answers

Answer:

D  (x,5y)

Step-by-step explanation:

awnser the questions to describe the transformations of figure ABCD. Is A'B'C'D' a translation rotation or reflection of abcd?

Answers

A’B’C’D’ is a reflection of ABCD across the y-axis.

Answer:

1. Reflection

2. rotation and reflection

3. b', b''

4. 26.3

Step-by-step explanation:

1. It is like looking in a mirror. Its is being reflected across the y axis

2. It is rotated 90 degrees to the right. Then reflected over the x axis.

3. they are the same

4. It is the same as A" B" C" D" so the lengths are the same and you just add them.

Step-by-step explanation:

HELP 40 POINTS!!!! ILL GIVE BRAINLIEST TOO

Answers

Answer:

40 students

10 teachers

Step-by-step explanation:

32 + 8 = 40

5 + 5 = 10

Hope this helps!! ♥︎

Find the discriminant. (Must Show Work)

-9m^2+m-7=0

Answers

Answer:

-251

Step-by-step explanation:

the discriminant .b^2-4ac

=1-4×(-9)×(-7)

=1-252=-251

Write the following FRACTIONS in order of size (SMALLEST to LARGEST)
70% , 2/3 , 0.62 , 13/20 , 0.6

Answers

Answer:

is this helpful?? i guess it is

Answer: 6/10, 62/100, 13/20, 2/3, 7/10

Explanation:

First make all of them decimals:

.7, .667, .62, .65, .6

Then order least to greatest:

.6, .62, .65, .667, .7

Finally put them into fraction form

6/10, 62/100, 13/20, 2/3, 7/10

If x - 8 = -10, then find the value of 4x - 12

Answers

Answer:

60 is your answer.

Step-by-step explanation:

x - 8 = 10

add 8 to both sides,

x = 18

substitute 18 for x in the second equation:

4(18) - 12 = 72 - 12 = 60

Please lmk if you have questions.

Four people share 2/7 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Enter your answer in simplest form.

Answers

Slime was a toy product manufactured by Mattel, sold in a plastic trash can and introduced in February 1976. It consisted of a non-toxic viscous, squishy and oozy green or other color material made primarily from guar gum.

6 =a/4 + 2 * pls help me, thank you

Answers

Answer:

16

Step-by-step explanation:

16/4+2( 16 divided by 4 then add 2)

Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).

Answers

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

y = 1/2x + b  [Parallel lines have the same slope but different y-intercepts]

-2 = (1/2)(-5) + b  [Plug in the coordinates (-5,-2) to find the y-intercept b]

b = 1/2  [Solve for b]

y = 1/2x + 1/2

Answer:

y= 1/2x + 0.5

Step-by-step explanation:

plug in the x and y values to get the y-intercept the slope stays the same. hope this helps! :P

Find the slope of the line shown below.

Answers

Answer:

slope is -2

Step-by-step explanation:

trust me :)

Answer: The slope would be -2


The length of a rectangle is 18 cm and its breadth is 11 cm. Find area of the rectangle.

Answers

Step-by-step explanation:

Area = length×breath

=18×11

=198cm²

Answer:

198 square cm

Find the 12 term of the geometric sequence 2,10,50,

Answers

Answer: 19,531,250

.......

answer for this question is = 97,656,250

Please help i will give brainleist and 25 points please dont play please

Complementary Angles are two angles that add up to 90 degrees. If ∠1=30 then ∠2=60 because 90-30=60.

Find the missing angle that makes them complementary. ∠3=50 so ∠4=

∠5=25 so ∠6=

∠7=80 so ∠8=

Answers

Step-by-step explanation:

1)90-50= 40°

2)90-25= 65°

3)90-80=10°

HELP ME !!
The linear equation c = 6.5n + 1500 models cost c, in dollars, to produce n toys at a toy factory. What is the y-intercept, and what does it mean in this context?

A)The y-intercept is 6.5 and represents the number of toys produced increases by about 6.5 for each $1 increase in cost.
B)
The y-intercept is 1500 and represents the costs $1500 to run the factory if no toys are produced.
C)The y-intercept is 1500 and represents The factory can produce 1500 toys at no cost.
D)The y-intercept is 6.5 and represents the cost increases by $6.50 for each toy produced.

Answers

Answer:

B

Step-by-step explanation:

This is because 6.5n is the slope and the +1500 is the y-intercept. Remember its y=mx+b.

Answer:

B

Step-by-step explanation:

Hope this helps have a great day :)

please I need someone to help my assignment​

Answers

Answer: x = 10

Step-by-step explanation:

The Pythagorean's theorem says that for a triangle rectangle with catheti A and B, and with hypotenuse H, we have:

A^2 + B^2 = H^2

In this case, we have:

A = (x - 4)

B = (x - 2)

H = x

Then we have the equation:

(x - 4)^2 + (x - 2)^2 = x^2

Now we need to solve this for x, first let's simplify it.

(x^2 - 2*x*4 + 16) + (x^2 - 2*2*x + 4) = x^2

2*x^2 - 12*x + 20 = x^2

2*x^2 - 12*x + 20 - x^2 = 0

x^2 - 12*x + 20 = 0

The solutions of this equation are given by the Bhaskara's equation, such that for an equation like:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

Then the solutions for our equation are:

[tex]x = \frac{-(-12) \pm \sqrt{(-12)^2 - 4*1*20} }{2*1} = \frac{12 \pm 8 }{2}[/tex]

Then the two possible solutions are:

x = (12 - 8)/2 = 4/2 = 2

Notice that if x = 2, then the length of the catheti will be:

A = 2 - 4 = -2

B = 2 - 2 = 0

This has no sense, so we can discard this solution.

The other solution for x is:

x = (12 + 8)/2 = 10

x = 10

Then:

H = 10

A = 10 - 4 = 6

B = 10 - 2 = 8

This solution makes sense, then x = 10.

URGENT, PLEASE ANSWERR If someone who is 5 feet tall uses a potato gun to shoot a potato in the air at 100 feet per second, we can use the function ℎ()=−162+100+5 to calculate how far the potato will be from the ground at any given second (t). What does the h(0) represent in the context of the problem?

Answers

Given:

Consider the function is:

[tex]h(t)=-16t^2+100t+5[/tex]

This function is used to calculate how far the potato will be from the ground at any given second (t).

To find:

The value of h(0) and its meaning in the context of the problem.

Solution:

We have,

[tex]h(t)=-16t^2+100t+5[/tex]

At t=0,

[tex]h(0)=-16(0)^2+100(0)+5[/tex]

[tex]h(0)=0+0+5[/tex]

[tex]h(0)=5[/tex]

Therefore, the value of h(0) is 5. It means the potato is 5 feet from the ground at the time of shooting.

simplify: 10 (3x-4)=30-5x​

Answers

10( 3x-4)=30-5x
30x-40 = 30 - 5x
30x +5x = 30+40
35x = 70
x = 70/35
x = 2

Answer:

x=2

Step-by-step explanation:

10(3x−4)=30−5x

Step 1: Simplify both sides of the equation.

10(3x−4)=30−5x

(10)(3x)+(10)(−4)=30+−5x(Distribute)

30x+−40=30+−5x

30x−40=−5x+30

Step 2: Add 5x to both sides.

30x−40+5x=−5x+30+5x

35x−40=30

Step 3: Add 40 to both sides.

35x−40+40=30+40

35x=70

Step 4: Divide both sides by 35.

 35x         70

____   = _____

 35            35  

x=2

Please mark as brainliest if answer right

Have a great day, be safe and healthy  

Thank u  

XD

Really sorry if it is complicated

What is the surface area of the pyramid formed from the net shown here? The triangles are equilateral, and each triangle has a height of 5.2 centimeters. Write your answer rounded to one decimal point and with the correct unit. 6.3 Incorrect. The surface area of an equilateral triangular pyramid is given by the formula surface area = 2bh. The surface area of this equilateral triangular pyramid is 2bh = 2 × 6 cm × 5.2 cm = 62.4 square centimeters. Enter the correct answer. the net of an equilateral triangular pyramid

Answers

Answer:

the surface area of the pyramid is 62.4 square centimeters

Step-by-step explanation:

The computation of the surface area of the pyramid is shown below:

As we know that

The surface area = 2bh

= 2 × 6 cm × 5.2 cm

= 62.4 square centimeters

Hence, the surface area of the pyramid is 62.4 square centimeters

Beth used 1 1/4 tubes of glue on her science project. Each Tube holds 1/3 ounce of paint. Write an equation to represent the situation. How many ounces of glue did Beth use?

Answers

Answer:

5/12 ounces

Step-by-step explanation:

If each tube holds 1/3 oz of paint, the you multiply 1/3 by the number of tubes that she used. 1/3oz/tube(1.25 tubes)= 5/12 ounces

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.

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