if each polygon has 12 sides and each side length was 20 cm what is the area

Answers

Answer 1

Answer: approximately 4478.46096908264 square cm.

==========================================================

Explanation:

I'm assuming this is a regular 12-sided polygon

The area formula for regular polygons is

[tex]A = 0.25n*s^2*\cot(180/n)[/tex]

where in this case we have n = 12 sides and each side is of length s = 20

So,

[tex]A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*12*(20)^2*\cot(180/12)\\\\A = 0.25*12*(20)^2*\cot(15)\\\\A = 0.25*12*(20)^2*\frac{1}{\tan(15)}\\\\A \approx 4478.46096908264\\\\[/tex]

The area of this regular polygon is approximately 4478.46096908264 square cm.

Make sure your calculator is in degree mode when computing that value of cot(15) or 1/tan(15).


Related Questions

s a right triangle. If RQ = 8, what is PQ

Answers

Answer:

PQ = 4

Step-by-step explanation:

[tex]tan(30)=\frac{RQ}{8}\\RQ=8tan(30)\\RQ=\frac{8}{3}\\RQ=\frac{8}{3}/3\\HYPOTENUSE=8\\PQ = 4\\[/tex]

need help STAT 100 POINTS

Answers

Answer:

it would be 59.5

X
GRADE 07 MATHEMATICS I SECTION 3 / 1 OF 11
A distance of 2 inches on a map represents an actual distance of 3 miles. The map shows a scale
drawing of a rectangular plot of land. The width of the plot of land on the map is 6 inches. What is the
actual width, in miles, of the plot of land?
Enter your answer in the space provided.

Answers

Answer:

9

Step-by-step explanation:

6 divided by 2 equals 3 then you multiply 3 by 3 which equals 9.

Hope this helps!!!!!!!!!!

Be safe!!!!!!!

Answer:

9 miles

Step-by-step explanation:

Given scale:  2 in = 3 miles

⇒ 1 in = 1.5 miles

If the width of the plot of land is 6 inches, then to calculate the actual width multiply 6 by 1.5:

actual width = 6 × 1.5 = 9 miles

Pls, look at the picture for the question.

Answers

Answer:

the answer of the question is A

please help me find the distance between the two polar coordinates
thank you!

Answers

Answer:

⅜ is the distance

Hope you found this answer very useful

Oi beinggreat78, check this out

Answers

Answer:

[tex]\sf C = 37.7~in.[/tex]

_________

[tex]\sf Steps[/tex]

[tex]\sf Given~diameter=12[/tex][tex]\sf Use~diameter-to-circumference~formula[/tex]

         [tex]\sf Formula:[/tex]  [tex]\pi d = \pi * diameter[/tex]

_________

[tex]\sf Solve[/tex]

[tex]\pi * d(12) = 37.7~in.[/tex]

Need help with this find the value of x

Answers

Answer: x = √58
Decimal: 7.6157710 (Not Rounded)

Explanation: Using pythagorean theorem because it’s used for right triangle when mostly trying to find the hypotenuse.

3^2 + 7^ = c^2

Evaluate the expression when a = 4, b=8 and c=12 4(a+b)-c

Answers

Answer:

36

Step-by-step explanation:

4(a+b)-c

4(4)+4(8)=16+32-12

48-12=36

help pleaseeeeeeeeeeeee

Answers

When you are multiplying the roots you will not add or multiply the roots, meaning that the cubic root will stay the same. You will only multiply the numbers below the roots. Meaning that you will multiply -3 by -5 and get 15. So your answer will be the third one. Cubic root of 15

Determine whether each situation calls for a survey, an experiment, or an observational study. Explain your reasoning.
1. A research group wants to determine if playing music in a patient waiting room reduces stress levels.
2. A nutrition research group wants to determine whether ninth-grade students who reported having eating breakfast
every school morning had higher standardized test scores than who did not report having eaten breakfast every school
morning.
3. A restaurant plans to ask 100 randomly selected customers to determine which menu item is most popular.

Answers

1. Experiment; a sample of patients will be tested which means the members of the sample will be affected by the study (playing music).
2. Observational study; the scores of the participants are observed and compared without them being affected by the study.
3.Survey; the data will be given from opinions by members of the sample population.

How much joe pay in dollars to get 40 euros

Answers

Answer:

42$

Step-by-step explanation:

Hope it helps :)

42 dollars & 12 cents is equivalent to 40 euros.

Please help
Thank you

Answers

1. Yes
2. A-2x
Hope this helps also I did this question and got it correct

Question 9 of 10
A system of two equations is shown below. What will you need to multiply the
top equation by in order to solve this system using the elimination method?
X +2y = 11
6X + 4y = 34
A. 6
• B. -2
C. 2
( D. -4

Answers

Answer:

by 6

Step-by-step explanation:

Isolate x for x + 2y= 11: x= 11- 2y

Substitute x =11 -2y

6(11 - 2y) + 4y = 34|

Simplify

[66 -8y= 34]

Isolate y for 66 - 8y= 34: y =4

For x = 11 - 2y

Substitute y = 4

X= 11-2 x 4

Simplify

X=3

The solutions to the system of equations are:

X=3,y=4

Find the midpoint of the line segment joining the points C= (4,7) and D= (-2,-3)

Answers

Answer:

(1, 2)

Step-by-step explanation:

Hi there!

We are given two points - (4, 7) and (-2, -3)

We want to find the midpoint between these two points

The midpoint can be found using the formula [tex](\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the midpoint, but let's label the values of the points to avoid any confusion & mistakes

[tex]x_1=4\\y_1=7\\x_2=-2\\y_2=-3[/tex]

Now substitute into the formula

[tex](\frac{x_1 + x_2}{2}, \frac{y_1+y_2}{2})[/tex]

[tex](\frac{4+ -2 }{2}, \frac{7+-3}{2})[/tex]

The pluses can be replaced with minus signs:

[tex](\frac{4 -2 }{2}, \frac{7-3}{2})[/tex]

Now subtract

[tex](\frac{2 }{2}, \frac{4}{2})[/tex]

Divide

(1,2)

The midpoint is (1, 2)

Hope this helps!

help me please i and this asap​

Answers

Answer: Select 2 because its 2 times the volume of cone

Step-by-step explanation:

Which of the following has the greatest value?

Answers

Answer:  i believe it is D

Step-by-step explanation:

A = 4.4

B = 4.28

C = -4.5

D = 4.6

Nevaeh pays a total of $24
for two sets of paint brushes. Each set costs the same amount of money and contains three paint brushes.

What is the cost per paint brush?

$12
12 dollars

$8
8 dollars

$4
4 dollars

$3

Answers

The cost per paint brush is $4 if the Nevaeh pays a total of $24

for two sets of paint brushes, and each set costs the same amount of money and contains three paint brushes.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

Nevaeh pays a total of $24 for two sets of paint brushes. Each set costs the same amount of money and contains three paint brushes.

The cost for each set = 24/2 = $12

In each sets of paint brushes there are total of 3 brushes which cost $12

So, each brush cost = 12/3 = $4

Thus, the cost per paint brush is $4 if the Nevaeh pays a total of $24

for two sets of paint brushes, and each set costs the same amount of money and contains three paint brushes.

Learn more about the fraction here:

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If tan A=2 sin A .Then find the value of A, given 0<\= A <\=360.

Answers

[tex]tan(A)=2sin(A) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{sin(A)}{cos(A)}~~ = ~~2sin(A)\implies sin(A)=2sin(A)cos(A) \\\\\\ sin(A)-2sin(A)cos(A)=0\implies sin(A)[ ~~ 1~~ - ~~2cos(A) ~~ ]=0 \\\\[-0.35em] ~\dotfill\\\\ sin(A)=0\implies A=sin^{-1}(0)\implies A= \begin{cases} 0\\ 180^o\\ 360^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 1-2cos(A)=0\implies 1=2cos(A)\implies \cfrac{1}{2}=cos(A) \\\\\\ cos^{-1}\left( \cfrac{1}{2} \right)=A\implies A= \begin{cases} 60^o\\ 300^o \end{cases}[/tex]

( 3 × 10^ 6 ) + ( 3 × 10 ^6 )

Answers

Answer:

6000000

Step-by-step explanation:

3(106)+3(106)

=(3)(1000000)+3(106)

=3000000+3(106)

=3000000+(3)(1000000)

=3000000+3000000

=6000000

What is the y-intercept of f (x) = 3.4’x?

Answers

Answer:

3

Step-by-step explanation:

Y intercept when x = 0

F(0) = 3 * 4^(0) = 3 * 1 = 3

A poll is taken at four different grocery stores to determine how far customers drive to shop at their store. The following information was gathered at the four stores. Customers That Drive < 5 miles Store W 52 of 100 Store X 68 of 75 Store Y 59 of 120 Store Z 28 of 50 If one customer is selected at random from each store, at which store would selecting a customer that drives less than 5 miles be a likely event?

Answers

Due to the higher proportion of customers driving less than 5 miles, it would be a likely event at store X.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

For each store, the proportion of customers driving less than 5 miles is given by:

Store W: 52/100 = 0.52.Store X: 68/75 = 0.9068.Store Y: 59/120 = 0.4917.Store Z: 28/50 = 0.56.

Hence, due to the higher proportion of customers driving less than 5 miles, it would be a likely event at store X.

More can be learned about proportions at https://brainly.com/question/24372153

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The circumference of a circle is 37.68 miles. What is the circle's diameter?
Use 3.14 for ​.

Answers

Answer:

12 miles

Step-by-step explanation:

[tex]C=\pi d\\37.68=3.14d\\12=d[/tex]

Thus, the diameter of the circle is 12 miles

Which steps should be used to graph the equation below? y - 4 = 1/3 * (x + 2)

Answers

Answer:

Step-by-step explanation:

y - 12/3 = 1/3x + 2/3

y = 1/3x + 14/3

Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. What is the finance charge on this loan?

Answers

Joshua borrowed $2,200 for one year and paid $132 in interest. The bank charged him a service charge of $21. The finance charge on this loan is 6.9%.

What is APR?

Suppose there is an initial amount as P.

The interest, or say charge on it is applied annually as 'C' amount.

Taking how much percent of P is C, we get:

[tex]APR = \dfrac{C}{P} \times 100[/tex]

Given;

Principal =$2,200

interest = $132

Service charge = $21.

To find finance charge we use

Finance charge (FC) = interest + service charge(SC)

= $132 + $21

= $153

Therefore

APR = Finance charge / Principal

= $153 / $2200

= 0.069 or 6.9%

Therefore, The finance charge on this loan is 6.9%.

Learn more about finance charge;

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Find the exact area of the shaded please helppp ILL GIVE BRAINLIESTTTTTT

Answers

Answer:

The exact area is [tex]5\pi[/tex]

Step-by-step explanation:

The area of the major circle is subtracted from the area of the minor circle (blank)

Major circle

[tex]r=\frac{6}{2} =3[/tex]

[tex]A=\pi r^{2} =\pi (3)^{2} =\pi (9)=9\pi[/tex]

Minor circle:

[tex]r=\frac{4}{2} =2[/tex]

[tex]A=\pi r^{2} =\pi (2)^{2} =\pi (4)=4\pi[/tex]

The shaded area:

[tex]9\pi -4\pi =5\pi[/tex]

Hope this helps

PLEASEEEE HELPPPPPP!!!!!!

Answers

Answer:

This graph represent a odd function since it has an odd number of degrees  while the others have like 4

f(-x) = -f(x)

1
VOLUME OF RECTANGULAR PRISMS
4 cm
1
7.5 cm
18 cm

Answers

Answer: 540 cm³

Step-by-step explanation:

    The volume of a rectangular prism can be found with:

V = L * W * H

-> L is the length

-> W is the width

-> H is the height

V = L * W * H

V = 18 cm * 7.5 cm * 4 cm

V = 540 cm³

         The volume is 540 cm³.


Help!, the questions are in the picture

Answers

21 cm
31

Those are the answers, good luck!

Mark brainlist

Madison hits a tennis ball with an initial velocity of 18 m/s straight up into the air. When she hits the ball, it is 1.2 m above the ground
Which equation can be used to find the time, t, it takes for the ball to reach the ground?
A) -16t^2 + 18t+ +1.2=0
B) 4.9t^2 + 18t + 1.2 = 0
C) 4.9^2 + 1.2t + 18 = 0
D) -16t^2 +1.2t + 18 = 0

Answers

the answer is c i believe

Why are 1995 pennies worth less than 2018 pennies?

Answers

Answer:

Most 1995 pennies in circulated condition are only worth their face value of $0.01. These coins can only sell for a premium in uncirculated condition. The 1995 penny with no mint mark and the 1995 D penny are each worth around $0.30 in uncirculated condition with an MS 65 grade.

Step-by-step explanation:

hope this helps.

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