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

Help me with this!!!

Answers

Answer:

yes

Step-by-step explanation:

Answer: no

Y because I said so

Hudson went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $29, but the price with tax came to $31.61. Find the percent sales tax.

Answers

Answer:

Percent sales tax = 9%

Step-by-step explanation:

Listed price = $29

Price with tax = $31.61

Amount of tax = Price with tax - Listed price

= $31.61 - $29

= $2.61

Find the percent sales tax.

Percent sales tax = $2.61/$29 × 100

= 0.09 × 100

= 9%

Percent sales tax = 9%

For any particular equation we can use the same letter to represent two different numbers at the same time true or false??

Answers

Answer:

false if they are 2 different numbers then u have to have 2 different letters.

Step-by-step explanation:

Erik read a total of 4 books over 2 months. After belonging to the book club for 17 months, how many books will Erik have read in all?
plss help me thank you!!

Answers

A 4:2 ratio can be simpified even more to a 2:1 ratio, which means by continuing the ratio you would get a 34 books in 17 months

what is this plzzz help
8(2-4y)+5y(6-3)

Answers

Answer:

8(2-4y)+5y(6-3)

16-32y+30y-15

16-2y-15

16-15-2y

1-2y

Did they Ask you to simplify or to solve it ?

How many hundredths are in the number 2912.468

Answers

200s are in the number

im so confused pls help!

Answers

[tex]-\frac{1}{2} *(-\frac{5}{6} )+(-\frac{1}{2} )*\frac{1}{3} \\=\frac{5}{12} -\frac{1}{6} \\=\frac{5}{12} -\frac{2}{12} \\=\frac{3}{12} \\\frac{1}{4}[/tex]

Answer:

it's 5/12 + 1/3

Step-by-step explanation:

you would multiply the -5/6 by -1/2 to get 5/12 since the negative would cancel out

so 5/12 + 1/3 would be the answer.

Also this question doesn't make any sense since you are supposed to simplify the parentheses first.

What is the slope and y-intercept of the line y = 3x - 7?
Group of answer choices

The slope of the line is -7, and the y-intercept is (0, 3).

The slope of the line is 3, and the y-intercept is (0, -7).

Plz help ASAP!!!!
The slope of the line is -3, and the y-intercept is (0, 7).

The slope of the line is 7, and the y-intercept is (0, -3).

Answers

Y = mx + b
m = slope, b = y intercept
Given m = 3, b = -7
The slope is 3
The y intercept is (0,-7)
hello!

[tex]==================================[/tex]

the given equation is written in slope-intercept form, which looks like so:

[tex]\pmb{y=mx+b}[/tex]

where

[tex]\pmb{m}[/tex] is the slope of the line

[tex]\pmb{b}[/tex] is the y-intercept of the line

in order to determine the slope & the y-intercept, just look at the equation:

[tex]\pmb{y=3x-7}[/tex]

slope: [tex]\pmb{3}[/tex]

y-intercept: [tex]\pmb{-7}[/tex] or ( [tex]\pmb{0, -7}[/tex])

[tex]===================================[/tex]

note:-

Hope everything is clear; if you need any more explanation, kindly let me know.

What is the area? Please help

Answers

Answer:

24 hhbhbbb;bbbbhhhjjjjdjdhdbdbbdbdhd

Answer: 61

Area of Square = [tex]7^{2}[/tex]

7 x 7 = 49

Area of Triangle = 1/2 (4) (3)

1/2 (4) (3) = 6

49 + 6 + 6 = 61

find the area Square root of 3 and square root of 75

Answers

Answer:0.2

Step-by-step explanation:

Combine

3

and

75

into a single radical.

3

75

Cancel the common factor of

3

and

75

.

Tap for more steps...

1

25

Rewrite

1

25

as

1

25

.

1

25

Any root of

1

is

1

.

1

25

Simplify the denominator.

1

5

The result can be shown in multiple forms.

Exact Form:

1

5

Decimal Form:

0.2

I think it’s 0.2 sorry if I’m wrong

Can someone please help me!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

5x-6+7x+12=180

Step-by-step explanation:

5x+7x = 12x

12x - 6 +12 = 180

add 12 and -6 to get 6.

12x + 6 = 180

      subtract 6 from both sides to get 174.

12x = 174.

now divide both sides by 12 to get x = 14.5 or 29/2 which cancels out to 6

Which expression represents the perimeter of a rhombus with diagonal lengths 8a and 10a?

Answers

Answer:

4a[tex]\sqrt{x}[/tex]41

Step-by-step explanation:

12*2+9x2= Perimeter.

The perimeter P of rhombus is given as

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

The diagonals of rhombus bisect each other at right angles and it has same perimeter as that of a square.

From this property stated above we can formulate  side of rhombus is below in equation (1)

Side and  diagonals of rhombus have following relation

[tex]\rm Let \; the \; side \; of\; rhombus = s\\Length\; of \; first \; diagonal = 8a\\ Length\; of \; second \; diagonal = 10a\\\\According \; to \; the \; identity\; for\; area \; of\; rhombus \\ s^2 = (p/2)^2 +(q/2)^2 ....(1) \\where \; p \; and\; q \; are\; the \; diagonals.[/tex]

so

[tex]\rm s^2 = (10a/2)^2 + (8a/2)^2\\s^2 = 25a^2 + 16a^2 = 41 a^2 \\s= \sqrt{41}a ......(2)[/tex]

Equation (2) represents side of rhombus

So the perimeter P of rhombus is given as

[tex]\rm P = 4\times s[/tex]

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

The perimeter P of rhombus is given as

[tex]\rm\bold{ P = 4\sqrt{41}a }[/tex]

For more information please refer to the link below

https://brainly.com/question/24438053

Find the value of x and justify your answer

Answers

Answer:

a.

2x+4x+3x=180 sum of interior angle of the triangle is 180

9x=180

x=180/9=20

b.

x-20+x+10+x-20=180sum of interior angle of the triangle is 180

3x-30=180

3x=180+30

x=210/3=70

c.x+10+x+20+x=180 linear pair

3x+30=180

3x=180-30

x=150/3=50

Answer:

The picture is kinda blurry so I hope I've got it right.

a) x = 20°

b) x = 70°

c) x = 50°

Step-by-step explanation:

a) 2x + 3x + 4x = 180°

9x = 180°

x = 50°

b) (x - 20°) + (x - 20°) + (x + 10°) = 180°

3x - 30° = 180°

3x = 210°

x = 70°

c) (x + 10°) + (x + 20°) + x = 180°

3x + 30° = 180°

3x = 150°

x = 50°

Soro bought a $50.00 bus card at the beginning of the week. Each bus ride costs $2.50. He needs to have at least $20.00 on his card at the end of this month.To determine how many bus rides he can take between now and the end of this month, Soro wrote and solved the following inequality:50 minus 2.5 x greater-than-or-equal-to 20. Negative 2.5 x greater-than-or-equal-to negative 30. x greater-than-or-equal-to 12.What error, if any, did Soro make when writing or solving this inequality

Answers

Answer:

Soro did not make any erro

Step-by-step explanation:

Soro bought a $50.00 bus card at the beginning of the week. Each bus ride costs $2.50. He needs to have at least $20.00 on his card at the end of this month.

Let her number of rides he can take be written as x

$50 - $2.50 × x ≥ $20

50 - 2.5x ≥ 20

-2.5x ≥ 20 - 50

-2.5x ≥ -30

x ≥ -30/-2.5

x ≥ 12 rides

Soro did not make any error

A shipping crate is 9 feet long, 4 feet wide, and 6 feet tall. What is the total surface area of the crate in square feet?

Answers

Answer:

Step-by-step explanation:

sureface area of rectanglur object is the sum of the six sides

     Area = Length x Width

   SArea = Top Area + Bottom Area + Front Area + Back Area + Left Side Area

                 + Right Side Area

        since the top and bottom have equal  area  =  long x wide

                  the front and back have equal  area    = long x tall

                  and both sides have equal area  =  wide x tall

              I summed the bottom front and side areas each times 2

   SArea = 2(Bottom Area) + 2(Front Area) + 2(Side Area)

                 factor out the 2 and added the area formulas for the bottom front

                 and side

              = 2 [ (long x wide) + (long x tall) + (wide x tall)]

              = 2 [ (9 x 4) + (9 x 6) + (4 x 6)]

              = 2 [ (9)(4) + (9)(6) + (4)(6)]

              = 2(    36   +   54   + 24 )

              = 2( 114)

              =   ????    What is 2 times 114  ????       You can finish this part.

Help me with this!!!!

Answers

Answer:

no

Step-by-step explanation:

Find the volume of the composite figure at the right.

Answers

Answer:

715.6 in^3

Step-by-step explanation:

Step 1:

multi. 10x6x8

=480

Step 2:

v=1/2 xPIE (5)^2 x6

= 235.6

Step 3:

480 + 235.6

= 715.6

Geomotry 10th grade easy 25 points

Answers

Answer: 1=60°

Step-by-step explanation:

First, let's take our given angle of 30°

30° is in a right triangle, so the angles must be 90°, 60°, and 30°

Now the angle that is 45° makes angle 1 congruent to angle 60°

Meaning angle 1 is 60°

Answer:

m < 1 = 60

Step-by-step explanation:

Since the transversal is perpendicular to m,

it implies that the triangle formed by the perpendicular transversal, the slant transversal and the line m is a right angle triangle.

We use vertically opposite angles property to bring m<1 in to the right triangle.

We now use the sum of interior angles property to obtain,

m < 1 + 30 + 90 = 180

This implies that,

m  < 1 + 120 + 180

We group like terms to obtain,

m < 1 = 180 - 120

This means that,

m < 1 = 60

We could have also used corresponding angles property, then

m < 1 + 30 = 90

m < 1 = 90 - 30

m < 1 = 60

Alright fam, help me out here with these angles thanks!

Answers

Answer:

m∠3 = 127°

Step-by-step explanation:

From the given picture,

Two parallel lines have been given.

Angle 3 and another angle measuring 53° are located on a point of a straight line.

Therefore, both the angles will be supplementary.

m(∠3) + 53° = 180° [Property of supplementary angles]

m(∠3) = 180° - 53°

          = 127°

For the​ function, find the points on the graph at which the tangent line is horizontal. If none​ exist, state that fact. SHOW WORK PLEASE!

Answers

9514 1404 393

Answer:

  A. (-√2, 3+(4√2)/3), (√2, 3-(4√2)/3)

Step-by-step explanation:

The tangents are horizontal where the derivative is zero. The derivative of the given function is ...

  y' = x² -2

This is zero when ...

  0 = x² -2

  2 = x²

  ±√2 = x . . . . x-values where the derivative is zero

__

The corresponding y-values are ...

  y = (1/3x² -2)x +3

  y = (1/3(2) -2)(±√2) +3 = 3 ∓ (4√2)/3

The turning points are (-√2, 3+(4√2)/3) and (√2, 3-(4√2)/3).

NEED HELP ASAP!!!!

One side of a trapezoid has been extended and the dotted line forms a right angle with the extended line. Use this information to find m∠p.
A. 65°
B. 75°
C. 115°
D. 155°

Answers

The answer is C. Add 25 and 90 together and you should get 115. Then subtract that from 180 to get the miss angle brains P which is 65. Subtract 65 from 180 bc angle P and 60 make a straight line (180°). You should end up w/ 115

Answer:

C. 115

Step-by-step explanation:

got it right on edg. pls mark brainliest

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

I need help pleaseeee​

Answers

Answer:

3  x=59  4. x= 23

Step-by-step explanation:

#3 the angles are vertical angles, so they are congruent

#4 the angles together equal 117. If one angle is 94, the other is 117-94

What is the distance between -12 and 6 on a number line?

Answers

Answer:

18

Step-by-step explanation:

You can just do 6-(-12) a negative multiplied by a negative then turns into a positive which makes is 6+12=18

question is in picture i forgot how to do this and my sister is working on it rn anyone help?

Answers

Answer:

it's A.

Step-by-step explanation:

so basically an open circle means < or >

a closed circle (the filled in one) means greater/least than or equal to

the sign > with an equal sign under it

hope this helps I forgot too for a minute lol

PLEASE HURRY UP AND HELP ME NOW ASAP !

Answers

Answer:

D

Step-by-step explanation:

Linear Functions will never have curve lines in the graph.

the answer is D. Linear functions are those whose graph is a straight line

Which multiplication problem us modeled on the number line?

2(-4)
4(2)
2(4)
4(-2)

Answers

Answer:

2(-4)

Immediately, we can narrow it down to the first and last answer choices, since the product is negative. Since there are 4 arrows going left on the number line, the answer to this problem is 2(-4).  

2(4) is the answer bro

2 2/3 times by 1 5/7

Answers

Answer:

4 4/7 is the answer

Answer:

4 4/7

Step-by-step explanation:

(2 2/3)(1 5/7) = 4 4/7

Plz help me out !!!!!!

Answers

Answer:

There are 1,679,616 ways to answer the test

Step-by-step explanation:

Here, we want to get the number of ways to answer the test

From the question, we have that there are 8 questions, with each having 6 possible answers

Hence, the total number of answers to pick from is 8 * 6 = 48

We are to pick 6 out of this total 48, with 1 option per question

So in the first, we are picking 1 out of 6

The number of ways here is;

6 C 1 = 6 ways

The next, we have 6 ways also , up to the 8th question

So, the total number of ways will be;

6 * 6 * 6 * 6 * 6 * 6 * 6 * 6 = 6^8 =

1,679,616

c. What is the percent change from $33 to $30?

Answers

Answer:

-9.09 is the correct answer

Answer:

-9.09%

Step-by-step explanation:

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