Find the area of a regular polygon with 9 sides that has a perimeter of 135 inches and an apothem of 6 inches

Answers

Answer 1

Answer:

The area of regular polygon with 9 sides is 405 square inches.

Step-by-step explanation:

Given

Perimeter of Polygon = P = 135 inches

Apothem = a = 6 inches

We know that the sides of regular polygon are equal. Let s be the side of the polygon then

[tex]P = 9*s\\135 = 9*s\\s = \frac{135}{9}\\s = 15\ inches[/tex]

Now the formula for area of polygon when apothem, sides and number of sides is known:

[tex]A = \frac{a*n*s}{2}\\A = \frac{6*9*15}{2}\\A=\frac{810}{2}\\A = 405\ in^2[/tex]

Also the formula can be written as:

[tex]A = \frac{1}{2}P*a[/tex]

Hence,

The area of regular polygon with 9 sides is 405 square inches.


Related Questions

someone helpppp pleaseeee

Answers

Answer:

138

Step-by-step explanation:

G + H = 180   {G, H are linear pair}

12x + 6 + 4x - 2 = 180

12x + 4x + 6 - 2  = 180

       16x  + 4      = 180

                    16x = 180 - 4

                   16x = 176

                      x = 176/16

                      x = 11

G = 12x + 6

   = 12*11 + 6

  = 132 + 6

  = 138

Which value of x makes the following equation true?

6.5(x - 2) = -0.5x + 29
A. 9
B. 6
C. 5
D. 8

Answers

Answer:

The value of x that will make this equation true is 50.

0.5 times 50=25 -8 = 17

0.2 times 50= 10 +7 = 17

Therefore, your answer is 50.

Step-by-step explanation:

Know ur meme ;)

A varies inversely as the square of B. If A is 1 when B is 3, find A when B is 5

Answers

Answer:

0.36

Step-by-step explanation:

A= K/B^2

K= A × B^2

K= 1 × 3^2

K= 1×9

K= 9

Therefore if B is 5 then A can be calculated as follows.

K= A × B^2

9= A × 5^2

9= A × 25

9= 25A

A= 9/25

A= 0.36

Hence A is 0.36

Create and solve an additional word problem using the following numbers:

Answers

Word Problem: Sophie and Joan need to determine whether or not they have enough paint to paint the walls of their bedroom. They need 2 6/7 gallons of paint in order to cover the entire room. Sophie has brought 5/6 of a gallon of paint. What is the minimum amount of paint Joan needs to bring in order to paint the entire wall?

Answer: 2 1/42 gallons

Solving Steps:

2 6/7 - 5/6 (needs to be simplified)6/7 x 6/6 = 36/425/6 x 7/7 = 35/4236/42 - 35/42 = 1/422 + 1/42 = 2 1/42Final Answer: 2 1/42 gallons

I hope this helps!! :)

Answer please ;)ANSWER PLEASE!!!!!!!!

Answers

Answer:

y intersect is -4 and x intersect is between 6 and 7...

Step-by-step explanation:

Martha's mother is 4 times older than Martha. Martha mother is 36 years old. Which equation can be used to find Martha's age, a?

Answers

Answer:

4a = 36

Step-by-step explanation:

multiply a by 4 to get the mom's age. it can also be 1/4 (36) = a

Answer:

m=4a, m=36, 36/4=a

Step-by-step explanation:

M= Martha's mom's age, a=martha's age.

PLEASE HELP ASAP!!
A sales manager analyzed the sales, in dollars, y, of snow shovels compared to the outside temperature, in Fahrenheit, x. The manager calculated the correlation coefficient of r=−0.82.

Which conclusion is most appropriate based on the correlation coefficient of the data?


There is a strong negative relationship, therefore as x increases, y increases.

There is a strong negative relationship, therefore as x increases, y decreases.

There is a weak negative relationship, therefore as x increases, y increases.

There is a weak negative relationship, therefore as x increases, y decreases.

Answers

There is a strong, negative relationship between outside temperature and snow shovel sales. As x increases, y decreases.

What is the value of x

Answers

The value of x is 28
Answer :28
Explanation:
As we know that the horizontal lines are parallel, then we know that :
4x+4x+2x+12+2x+12=360
12x+24=360
12x=336
x=28

Which is the correct choice?

Answers

Answer:

0.64

Step-by-step explanation:

When graphed, which line will have the
greatest rate of change?
a. y = 5x
b.
y = 3x
y = 0.3x
C.

Answers

Answer:

the answer is y=5y , because the larger b , the larger rate of change

A carpenter has boards of length 24 36 and 42 inches they must be cut into smaller boards of equal length with no scrap wood left over . What is the longest lenght of boards can he cut

Answers

The longest he can cut is 6 inches

Answer:6 inches

Step-by-step explanation:

Of the following situations, which is best represented by the product 5x (-3)?
A) The height of a child who grew 3 inches each year for 5 years
B) The change in temperature as it decreases 5 degrees every hour for 3 hours
C)The amount of money a snack bar earns for selling 3 sandwiches for $5 per sandwich
D)The change in elevation of a submarine as it sinks 3 meters every second for 5 seconds

Answers

The answer would be D.

Answer:

D is the answer!!

Right inequalities to represent the situations below to get the 10% discount a shopper must spend at least $300 USD to represent the spending in dollars of a shopper who gets the discount

Answers

Answer:

D≥300

Step-by-step explanation:

what is the image point of (-6,1) after a translation left 2 units and down 3 units​

Answers

Answer:

(-8, -2)

Step-by-step explanation:

Subtract 2 from -6, so -6 -2 which gives -8.

Subtract 3 from 1 so, 3-1 = -2.

Answer:I just had to do this in Math class and the answer is (-8,-2)

Step-by-step explanation:

dont tell me the Answer but walk me through the steps plz

Answers

Answer:

Find the multiplies of 2

Confused on this one. I need someone to help me out.

Answers

The answer is T=PV/nR

Hope this helps!

Divide 4 ÷ 2 /5 = If you don’t answer-

Answers

Answer:

0.1

Step-by-step explanation:

I think the answer is 10

what is the largest number that can divide 35,50 and 40 exactly?

Answers

the answer is 5 cuz the gcf of the given numbers is 5

A mixture requires 4 cups of water for every 7 cups of flour used. Use the ratio table to determine how many cups of water should be used with 28 cups of flour?

Answers

Answer:

16 cups of water

Step-by-step explanation:

You find this by  dividing 28 by your ratio of flour to get 4, then multiplying the cups of water, 4, by 4 to get 16 cups of water

5. The complement of an angle is twice as
large as the angle. Find the measure of the
angle.​

Answers

Answer:

60 degrees

Step-by-step explanation:

60+60*2=180

pls give brainliest

Answer:

30° and 60°

Step-by-step explanation:

let angle be x and 2x

x+ 2x=90

3x=90

x=30

Therefore,

2x= 2*30= 60

A square has a side 9cm length . What is its area?

Answers

Answer:

81

Step-by-step explanation: A square has all sides the same so you just multiply 9×9

Have a great day and a awsome thanks giveing brake :)

(7y + 5) - 2(4y - 3)​

Answers

Answer:

-y+11

Step-by-step explanation:

Answer:-1y + 11

Step-by-step explanation:

7y + 5 - 8y + 6

-simplify

7y - 8y = -1y

5+6=11

= -1y + 11

find the measure of BE step by step

Answers

Answer:

BE = 49 cm

Step-by-step explanation:

Use Pythagorean theorem

(hypotenuse)² = (base)² + (leg)²

ΔDEF,

DE² + EF² = FD²

DE² + 63² = 65²

DE² + 3969 = 4225

              DE² = 4225 - 3969

              DE² = 256

             DE = √256 = √(16*16)

DE = 16 cm

ΔCBD,

BC² + BD² = CD²

56² +BD² = 65²

3136 + BD² = 4225

           BD² = 4225 - 3136

           BD² = 1089

          BD = √1089 = √(33*33)

BD = 33 cm

BE = BD + DE

    = 33 + 16

BE = 49 cm

can answer this
1/2 + 2/5=​

Answers

Answer:

9/10 or 0.9.

Step-by-step explanation:

1/2 + 2/5 =

5/10 + 4/10 =

5 + 4/10 =

9/10

Answer:

9/10 or 0.9

Step-by-step explanation:

1/2 + 2/5 =

1 × 5 + 2 × 2/2 × 5

5 + 4 = 10

9/10 or 0.9

In Fraction = 9/10

In Decimal = 0.9

Thus, The answer is 9/10 or 0.9

-TheUnknownScientist

Find the slope using the formula.
(-2, -8) and (4, -6)

I WILL GIVE BRAINLIEST

Answers

Answer:

1/3 slope

y = mx + b

y =1/3 x + b

Step-by-step explanation:

y2-y1  -6 - -8 = 2

x2-x1    4 - -2= 6

6/2  simplified 1/3 (slope)mm

The process of allocating the total sum of squares and degrees of freedom to the various components is called:_________

a. replicating.
b. partitioning.
c. blocking.
d. factoring.

Answers

Answer:

The process of allocating the total sum of squares and degrees of freedom to the various components is called partitioning.

Learn more:-Partitioning:-Partitioning is a way of splitting numbers into smaller parts which make them easier to work with them.

The sum of two numbers is 58. The larger number is 20 more than the smaller number. What are the numbers

Answers

Answer:

39 and 19

Step-by-step explanation:

sum: a+b=58

larger: a-b=20

(a+b)-(a-b)=58-20

2b=38 --> b = 19, a=39

A. - 3x - 2y = 4
5x - 8y = -1
B. 5x – 8y = -1
- 3x – 2y = 4
1) How can we get System B from System A?
Choose 1 answer:
A. Replace one equation with the sum/difference of both equations
B. Replace only the left-hand side of one equation with the sum/difference of the left-hand sides
of both equations
C. Swap the order of theequations
D. Swap only the right-hand sides of both equations

Answers

Answer:it’s .a

Step-by-step explanation:

Swap the order of the equation and yes da systems r equivalent


If the Miami Marlins won 14 of their first 27 games and the team continued to win at the
same rate, how many games would they win in a 162-game season?
c. 98 games
d. 56 games
a. 84 games
b. 70 games

Answers

I guess 84
:)if it is wrong sorry

This type of problem can be solved in various ways such as in terms of ratios and fractions, Let us go with fractions.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Miami Marlins won 14 of their first 27 games.

So, their win rate in decimal is,

= 14/27.

= 0.518.

∴ In 162 games at the same rate, Miami Marlins will win,

162×0.518.

= 84 games.

So, after playing 162 games they'll win 84games.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

Find the value of X

Answers

5x = 40

divide by 5 on both sides :

x=8

Answer : x=8
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