10. The perimeter of a regular nonagon is 162 inches. The apothem is 97.8 inches. Find the area.

Answers

Answer 1

Answer:

The area of the regular nonagon is 7921.8 square inches.

Step-by-step explanation:

Geometrically speaking, the area of a regular polygon is determined by following area formula:

[tex]A = \frac{p\cdot a}{2}[/tex] (1)

Where:

[tex]A[/tex] - Area of the regular polygon, in square inches.

[tex]p[/tex] - Perimeter, in inches.

[tex]a[/tex] - Apothem, in inches.

If we know that [tex]p = 162\,in[/tex] and [tex]a = 97.8\,in[/tex], then the area of the regular nonagon is:

[tex]A = 7921.8\,in^{2}[/tex]

The area of the regular nonagon is 7921.8 square inches.


Related Questions

round to nearest hundredth :3,353

Answers

Answer:

3,000

Step-by-step explanation:

Since the next number is less than 5 you round down

Jennie makes quilts. She can make 7 quilts with 21 yards of fabric. How many yards of fabric does she need to make 12 quilts? (Think setting up a proportion!!)
will give B

Answers

Answer:

36 yards of fabric

Step-by-step explanation:

Set up the proportion

quilts/yards = quilts/yards

Let x = no. of yards to make 12 quilts

x/12 = 21/7 = 3

x = 12(3) = 36 yards of fabric

What is the slope m and y-intercept of this image?

Answers

The slope (m) is 1. The y-intercept is 3.
You can use the formula m=y2-y1/x2-x1
When you plug the coordinates in, you get: 3-0/0-(-3)
This leaves you with 3/3, aka 1.
The y-intercept is whatever coordinate on the line makes contact with the y-axis. In this case, it is coordinate (0,3) making the y-intercept 3.

Answer:

(3,3)

Step-by-step explanation:

The measure of Angle d is 150°. What is the value of Measure of angle b + measure of angle c + measure of angle e?

Answers

Answer:

[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle d = 150[/tex]

See attachment for illustration

Required

Find [tex]\angle b + \angle c + \angle e =[/tex]

The sum [tex]of\ angles\ at[/tex] a point is [tex]360^\circ[/tex]

So:

[tex]\angle a + \angle b + \angle c + \angle d + \angle e = 360^\circ[/tex]

Angle a is at right angled.

So:

[tex]90 + \angle b + \angle c + 150 + \angle e = 360^\circ[/tex]

Collect like terms

[tex]\angle b + \angle c + \angle e = 360^\circ -150^\circ - 90^\circ[/tex]

[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]

find the value of given expression

[tex] \sqrt{440 + 1} [/tex]

Answers

Answer:

21

Step-by-step explanation:

[tex] \sqrt{440 + 1} \\ = \sqrt{441 } \\ = 21[/tex]

find the value of the variable and the length of each chord.if necessary, round your answers to the nearest tenth

Answers

Answer:

X = 2.4

MN = 7

JL = 7.4

Step-by-step explanation:

This should be the last one I post...hopefully-

Answers

angles 3 and 5 are vertical angles box they are vertical from each other

help pls will get brainlest

Answers

Step-by-step explanation:

the answer to your question is

a

Answer:

54 inches squared.

Step-by-step explanation:

(6*3) + (6*3) + (3*3) + (3*3). The areas of the faces added together. It is basically the perimeter of a 3D shape, except instead of measuring 2D sides, it is 3D shaped faces.

WILL GIVE BRAINLIEST :):
Find the area and perimeter for a triangle with the following dimensions:
base = 5 cm, height = 11cm

Answers

Answer:

A=27.5cm²

if you could give me brainliest i would like that

On Wednesday evening Sonto spent 1/2 hour doing homework,45minutes doind housework,1 hour visiting friends and 1 1/2 hour television. Write this down the information as a ratio​

Answers

Answer:

On Wednesday evening Sonto spent 30 minutes doing homework, 45 minutes doing housework, 60 minutes visiting friends and 90 minutes watching television. Write this down the information as a ratio​

Step-by-step explanation:

Total amount of time = 225 minutes

2/15 Homework

1/5 Housework

4/15 Visiting friends

2/5 Watching TV

Whole number ratio

2 : 3 : 4 : 6

If QRS is dilated by a scale factor of 6 through the origin, which of the following points represent the coordinates of R'?
A.
(-12,-24)
B.
(12,24)
C.
(-24,-12)
D.
(24,12)

Answers

Answer:

C

Step-by-step explanation:

The dilated point R' of the given point will be (-12,-24). The correct option is A.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that If QRS is dilated by a scale factor of 6 through the origin, the coordinate will be calculated as:-

The dilation factor is 6 then multiply the coordinates of R by 6 to calculate the value of dilated coordinate.

( -2 , -4) ⇒ Dilated ( -2 x 6 , -4 x 6 )

( -2 , -4 ) ⇒ Dilated ( -12, -24 )

Therefore, the dilated point R' of the given point will be (-12,-24). The correct option is A.

To know more about dilation follow

https://brainly.com/question/3457976

#SPJ2

help ineed help its just too much too count im so confused #screwfortnite

Answers

Answer:

7 X 10

Step-by-step explanation:

because up and down there are 7 and left to right there are 10

Answer:

7 X 10

Step-by-step explanation:

All you have to do is count how many rows there are (just count the vertical line down the side) and you get your first term 7. Then count how many columns (just count the top row) and you get your second term 10. This is a 7 by 10 array, which means there are 70 flowers in total.

Help me with this!!!!

Answers

Answer:

v = 21

Step-by-step explanation:

BE = ED

So:

v + 63 = 4v

63 = 4v - v

63 = 3v

v = 63 / 3

v = 21

help me asap brainliest for correct answer

Answers

I’m pretty sure it’s the 3rd one

I need help with my math homework

Answers

0.40 or 40%

Explanation:

ANYONE KNOW HOW TO SOLVE THIS!!!! PLEASE HELP ME!!! IT IS SOLVING SYSTEM EQUATIONS BY SUBSTITUTING!!
x+8y=20
4x-y=14

Answers

Answer:

x=4

y=2

Step-by-step explanation:

x+8y=20

4x−y=14

​To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

x+8y=20,4x−y=14

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

x+8y=20

Subtract 8y from both sides of the equation.

x=−8y+20

Substitute −8y+20 for x in the other equation, 4x−y=14.

4(−8y+20)−y=14

Multiply 4 times −8y+20.

−32y+80−y=14

Add −32y to −y.

−33y+80=14

Subtract 80 from both sides of the equation.

−33y=−66

Divide both sides by −33.

y=2

Substitute 2 for y in x=−8y+20. Because the resulting equation contains only one variable, you can solve for x directly.

x=−8×2+20

Multiply −8 times 2.

x=−16+20

Add 20 to −16.

x=4

The system is now solved.

x=4,y=2

Help please it’s due soon

Answers

Answer:

y = 12,58 units

Step-by-step explanation:

y = opposite

15 = hypotenuse

θ = 57°

therefore we use sin

sinθ = opposite/hypotenuse

sin57° = y/15

y = 15sin(57°)

y = 12,58 units

_________________

#StayPositive - kexcvi

Someone please please..help me I don’t want to fail this..

Answers

Step-by-step explanation:

hope it helps you........

What is the equation for the line of symmetry in this figure?
A. x=0
B. y=0
C. x=2
D.y=2

Answers

Answer:

A

Step-by-step explanation:

The axis of symmetry for the figure is the y- axis

The y- axis has equation x = 0

An electrician charges $45 for each home visit plus $19.95 every hour he spends working. Which sentence could be used to find C, the cost in dollars for a house visit and h, hours of work ? F. C = 45 + 19.95h G. C = 45h + 19.95 H. C = (45 + 19.95)h J. C = (45 - 19.95)h

Answers

Answer:

C= 45 + 19.95h

Step-by-step explanation:

45 for each home vist means one time payment

19.95 ever hour means you are charged 19.95 every hour

H= hour

PLEASE HELP!! Due today!!

Answers

Answer:

Amira,  we can tell by looking at the two graphs

Step-by-step explanation:

the blue graph goes through  (1,1) while the red graph goes thur  (1,3)  so because  the y component grows by 3 we know K = 3  

:)

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

Answers

Answer:

18.7 wreaths

Step-by-step explanation:

Beverly makes wreaths to sell for the fall season. She picked 430 pine cones from the wooded area near her house. If she uses 23 pine cones per wreath, how many wreaths can she make?

From the above question:

23 pine cones = 1 wreath

430 pine cones = x wreaths

Cross Multiply

23 pine cones × x wreaths = 430 pine cones × 1 wreath

x wreaths = 430 pine cones × 1 wreath/23 pine cones

x wreaths = 18.695652174 wreaths

Approximately = 18.7 wreaths

HELP ASAP. (please show work) solve for x

Answers

(2x + 8) + 34 = 90

2x + 8 + 34 - 90 = 0

2x - 48 = 0

2x = 48

x = 48 ÷ 2

x = 24°

mark as brainliest please

Last week, the daily low temperatures for a city, in degrees Celsius, were 5, 8, 6, 5, 10, 7, and 1. What was the average low temperature?

degrees Celsius

Answers

The average low temperature would be 5+8+6+5+10+7+1 all divided by 7, so the answer is 6° celsius.

A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees and totaled $411

Answers

Answer:

Cost of 1 bushes = a = $9

Cost of 1 tree = b = $73.5

Step-by-step explanation:

Given:

13 bushes and 4 trees cost = $411

Missing;

6 bushes and 2 trees cost = $201

Find:

Value of bushes and tree

Computation:

Cost of 1 bushes = a

Cost of 1 tree = b

So,

13a + 4b = 411 ...........eq1

6a + 2b = 201 ................eq2

From Eq1 and Eq2

Cost of 1 bushes = a = $9

From eq 1

13a + 4b = 411

13(9) + 4b = 411

Cost of 1 tree = b = $73.5

Pratibha spends 5 3/4 hours in school. He spends 4 1/4 hours for classes and 3/4 hours for lunch break. She spends the remaining time on sports. How much time does she spend on sports?

Answers

Answer:

13 hours and 15 minutes of her day are spent on sports if she doesn't sleep.

Step-by-step explanation:

Your friend Alex has won a scholarship to study abroad. (Congratulations!) Alex has only 8 weeks to earn enough money to buy a plane ticket, and he wants to work at an amusement park over the summer to acheive this goal

Answers

What’s the question?

Step-by-step explanation:

?

I will mark branliest!
Find the area of the circle below, rounding your answer to the nearest tenth.

Answers

Answer:

sorry it blurry the answer is 154cm²

hope that helps

What is the percent of change from 800,000 to 80,000?

Answers

Solution for 80000 is what percent of 800000:

80000:800000*100 =

(80000*100):800000 =

8000000:800000 = 10

Now we have: 80000 is what percent of 800000 = 10

find the value of given expression
[tex] \sqrt{170 - 1} [/tex]

Answers

Answer:

Answer is 13 I hope this help you

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