8-50. What is the area of a regular decagon if the length of each side is 20 units? Show all your work.

Answers

Answer 1

Answer:

3077.68

Step-by-step explanation:

the Area of the regular decagon is 3077.68

Answer 2

The area of the decagon with side length of 20 units is -

A = 1000√(5 + 2√5) square units.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write area -

V = ∫∫F(x, y) dx dy

Given is a regular decagon with length of each side is 20 units

The area of the regular decagon is -

A = (5/2)a²√(5 + 2√5)

We have {a} = 20. So, we can write that -

A = (5/2)(20)²√(5 + 2√5)

A = (5/2) x 400 x √(5 + 2√5)

A = 5 x 200 x √(5 + 2√5)

A = 1000√(5 + 2√5)

Therefore, the area of the decagon with side length of 20 units is -

A = 1000√(5 + 2√5) square units.

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Related Questions

Yo guys help pls.pls pls

Answers

Answer:

A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.

Step-by-step explanation:

This is a pic of my question.. ​

Answers

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3

One side of a rectangle is 3 m more than the other. If the perimeter of the rectangle is 30 m, what are its dimensions? *

Answers

Answer:

the length— 6

width— is 9

Step-by-step explanation:

you said One side— 3m MORE

so we will consider the length Number as X

we will consider width As three plus X

- You want to know the Perimeter. So we have to

add.

— so the expression is 3+3+x+x+x+x = 30

it is then simplified to 6+4x= 30

then we should be able to find out the X  which is 6

when we substitute the values with dimensions, you will get

your final Answer

I hope This Helped!

Find the volume of the triangular prism below 5mm 12mm 3mm

Answers

Answer: 90 mm cubed

Step-by-step explanation:

Formula = (L*W*H) / 2

5 * 12 * 3 = 60 * 3 = 180

180 / 2 = 90

Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?

Answers

Answer:

30%

Step-by-step explanation:

Find the percent discount by dividing the change in the price by the original price:

(684 - 478.6) / 684

205.4 / 684

= 0.3

So, the percent discount was approximately 30%

What is the slope of the line passing through the points (-5, -4) and (-1, 6)?
A.2/5
B.-5/2
C.-2/5
D.5/2

Answers

Answer:

5/2

Step-by-step explanation:

A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?

Answers

Answer:

25%

Step-by-step explanation:

So first, 5 answers is 50% of 10 questions

Then, if these problems have only 2 choices then 50%/2=25%

James is reading a book and noticed the page numbers are consecutive integers whose product is 1640. What is the value of the larger page number?

Answers

Answer:

41

Step-by-step explanation:

A pair of consecutive numbers is written as: N and N + 1

(where the larger page number is N + 1)

And we know that the product of these numbers is 1640.

Then:

(N)*(N + 1) = 1640

Solving for N, we get:

N^2 + N = 1640

N^2 + N - 1640 = 0

This is a quadratic equation, remember that for a general quadratic equation:

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

The solutions are:

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

In our case, the solutions are:

[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]

Then the two solutions are:

N = (-1 + 81)/2 = 40

N = (-1 - 81)/2 = -41

Because N represents the number on a page, it only can be a positive value, then we take the positive solution.

Then the two consecutive numbers, N and N + 1

are:

N = 40

N + 1 = 41

The value of the larger page number is 41.

Someone help and plz make sure it’s right will give brainiest if it is :)

Answers

I think it is at 23 degrees (I am really sorry if I am wrong)

Answer:

67....................

A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?

Answers

Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules

Anyone know how to do this? If so PLZ HELP ASAP

Answers

Answer:

20

Step-by-step explanation:

Answer:

3626 i hope this is correct sorry if it is not

Step-by-step explanation:

help needed asap will give brainliest

Answers

Answer:

the corect answer for this question is (-x,y)

The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?

Answers

Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

What is a distance?

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

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riverview soccer team won 10 games and drawn 2 out of 18 games so far this season. what is the probability they will lose their next game

Answers

Dababy ibiviffdyvbif


Which value of x makes the inequality true

Answers

Answer:

the answer is D

you would end up with 14% and 14 is in between 12 ns 18

Step-by-step explanation:

Find the inverse of the following function.
f(x) = + 12
OA (1) = x
= 1 – 12
OB. (v) = 12 - Foto
oc. 5- (6) = x3 – 12
OD. 1-() =
= 1 + 12

Answers

Answer:

c

Step-by-step explanation:

exchange y and x

then find y

“Type your answer in the box below without units” HELPPPPP

Answers

Answer

each loaf cost $2 all you had to do was divided 24 and 12 and you get $2

Step-by-step explanation:

i'll give you a brainliest for the correct answer lyy

Answers

Answer:

(-4,-5)

Step-by-step explanation:

[tex]x+4y=-24\\ x=-24-4y[/tex]

[tex]x=-24-4y\\ 4(-24-4y)-2y=-6\\ -96-16y-2=-6\\ 96+16+2=6\\ 18y=6-96\\ 18y=-90\\ y=\frac{-90}{18} \\ y=-5[/tex]

[tex]x=-24-4(-5)\\ =-24+20\\ =-4[/tex]

Mr. Crawford’s 4th-Period math class I ready question

Answers

Answer:

yes

Step-by-step explanation:

yes

Which rule describes the composition of transformations that maps triangle BCD to triangle B""C""D""?

Answers

Answer:

(d)

Step-by-step explanation:

Given

See attachment for [tex]\triangle BCD[/tex] and [tex]\triangle B"C"D"[/tex]

Required

The transformations

Using B and B"" as points of reference, we have:

[tex]B = (1,4)[/tex]

[tex]B"" = (5,-1)[/tex]

The transformation is as follows:

First, reflect across y axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]B(1,4) \to B'(-1,4)[/tex]

Next, translate 6 units right.

The rule is:

[tex](x,y) \to (x + 6,y)[/tex]

So, we have:

[tex]B' (-1,4) \to B"(-1 + 6,4)[/tex]

[tex]B' (-1,4) \to B"(5,4)[/tex]

Lastly, translate 5 units down

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]B"(5,4) \to (5,4-5)[/tex]

[tex]B"(5,4) \to (5,-1)[/tex]

Hence; (d) is correct


Please help worth 30 points it’s geometry.

I have a grade check tmr and I have an F in geometry please help!!!

Answers

That would be a 45 degree angle

Answer:

everything is in the photo

After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.



Using the box plot, determine the best measures of the data.

The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.

The number that best summarizes the data is (blank)
years of service.

The number that best describes how the data varies is (blank)
years of service.

Answers

Step-by-step explanation:

The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank

Please send the box plot, I can solve it then but there is not enough info right here. Sorry!

Kelly's team won 85% of the games they played in a season. The team lost 12 games. How many games did Kelly's team win in the season?

Answers

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

enter the value for x that makes the equation 4x-2+3x-7 true

Answers

Answer:

I think the answer is

[tex]x = \frac{9}{7} [/tex]

Step-by-step explanation:

Reason :

[tex]4x - 2 + 3x - 7 = 0 \\ collect \: like \: terms \\ 4x + 3x - 7 - 2 = 0 \\ 7x - 9 = 0 \\ 7x = 9 \\ x = \frac{9}{7} [/tex]

Therefore

[tex]x = \frac{9}{7} [/tex]

mel randomly selects a coin 150 times of which she selects a dime 30 times

Answers

Answer:

Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

hope this helps

have a good day :)

Step-by-step explanation:

The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.

Answers

Answer: 6 hours

Step-by-step explanation:

48/6 = 8

36/6 = 6

If the mean of A and B is 20 , the mean of B and C and the mean of A,B and C us 18 . What is the mwan of A and C

Answers

Answer:

the mean of A and C is 10

Step-by-step explanation:

Given that

The mean of A and B is 20

The mean of B and C is 24

And, the mean of A, B and C is 18

We need to find out the mean of A and C

Since the mean of A and B is 20

So, a + b = 20 × 2

= 40

Likewise for B and C it is 48

And, for A, B and C, it is 54

So,

a + b = 40

b + c = 48

a + b + c = 54

So if we put the value of b + c in the above equation

a + 48 = 54

a = 6

b = 34

c = 14

Now the mean of the A and C is

= (6 + 14) ÷ 2

= 10

Hence, the mean of A and C is 10

hey guys i really need help rn bc i’m in a rush to get this done. i’m begging u if u could help me with this question an a few others i’ll mark brainiest. just pls help!

Answers

Answer:

9 1/2

Step-by-step explanation:

=2*3+3 1/2

=6+3+1/2

=9 1/2

Draw a line to match each fraction, decimal, or percent in Column A to the equivalent value in Column B.

A B
40/50 1 3/4
13% 1 11/20
1.75 0.13
155% 80%

Answers

Answer:

This is the answer

Step-by-step explanation:

40/50 - 80%

13% - 0.13

1.75 - 1 3/4

155% - 1 11/20

Hope this helps

A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answers

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

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