Think About a Plan
The gazebo in the photo is built in the shape of a regular octagon. Each side is 8 ft long, and the enclosed
area is 310.4 ft2. What is the length of the apothem?
• How can you draw a diagram to help you solve the problem?
• How can you use the area of a regular polygon formula?

Answers

Answer 1

Answer:

9.7 ft

Step-by-step explanation:

Use the formula for the area of a regular polygon with "n" sides with lengths "s" and apothem a:

A= 1/2 ans

1. Substitute A= 310.4

2. n= 8 (for octagon)

3. s = 8 (length of side)

310.4 = 1/2 (a)(8)(8)

310.4= 32a

a= 9.7 ft

Length of apothem: 9.7 ft


Related Questions

Find the value of x, y, and z, in the rhombus below.

Answers

Answer:

Step-by-step explanation:

12 Complete the table to show equivalent times. Seconds Hours Minutes 210 8,400​

Answers

Answer:

The easiest way to convert seconds to hours is to divide the number of seconds by 3,600. To understand the reason for this conversion, it can be helpful to set up conversion tables, in which you first convert the number of seconds to minutes, and then the number of minutes to hours.

PLS HELP ME OUTT!!!!

Answers

Answer:

90+36+(4x+6)=180

4x+6=54

4x=48

x=12

Asriel says 2 times 2 is 4 Adrian says 2 times 3 is 6 Brittne says 2 times 5 is 4.Who is correct?​

Answers

Answer:

Asriel is correct because 2 times 2 is 4 and 2 times 3 is 6 and 2 times 5 is 10 so Asriel is correct.

Answer: Asriel & Adrian

Step-by-step explanation: 2x2 =4 (Ex: if you have 2 apples and was given 2 more you would have 4 in total)

2x3=6 (Ex: like if you have 2 oranges and was given 3 more you always have to count by your multiples.)

Draw the image when ABCD is translated along 1-4, 6).​

Answers

Answer:

(9,4)

Step-by-step explanation:

your welome

Jeff has four credit cards with limits of $4,000, $9,000, $3,600 and $11,300 respectively. If he has all of his cards charged up to 85% of his credit limit, how much does he owe?

Answers

Answer:

Jeff would owe $23,715

Step-by-step explanation:

$4,000+$9000+$3600+$11300x 0.85 = $23,715

HELP ASAP WILL GIVE BRAINLIEST!!!
This figure represents a design that is sewn onto a quilt square. The semicircles are a solid green fabric and the square is a floral fabric. The area of the solid green fabric is 8π square inches.


What percent of the design is floral fabric?


Use 3.14 for π. Round your answer to the nearest whole percent.

Answers

Answer: the answer is 39

Step-by-step explanation:

i just took the test

Answer: 39%

Step-by-step explanation: i took the test :)

work out the area of the parallelogram

Answers

Answer:

b x h

Step-by-step explanation:

!!!Brainliest to the first one to get it right!!!!

Which of the following is the difference of two squares?

A)8x^2-16y^

B)25m^2+100n^2

C)4g-16h

D)100a^4-9b^12

Answers

Answer:  The Answer is A

Step-by-step explanation:

8x^2 - 16y^2

Answer:it’s A

Step-by-step explanation:took the test

What is the trigonometric ratio for sin C?

Enter your answer, as a simplified fraction.

Answers

Answer:

(9/40)

Step-by-step explanation:

Sin is Opposite/Adjacent

sin(C) = AB/BC

We can find the value of AB by using the Pythagorean Theorem:

a^2 + b^2 = c^2

(80)^2 + b^2 = (82)^2

b = 18

sin(C) = 18/80 or (9/40)

Use the circle graph to determine how
many hours each day Sariah spends
on each activity.
School:
hours
Becky's Day
Eating
hours
10%
Eating:
Sleep:
Free time
15%
Homework
10%
Sleep
40%
Homework:
hours
hours
hours
School
25%
Free time:

Answers

Answer:

school=6 hours

eating= 2.4 hours

sleep= 9.6 hour

homework= 2.4 hours

free time= 3.6 hours

Step-by-step explanation:

Two communication companies offer calling plans. With company x it cost $.30 to connect and then $.05 for each minute with company why it cost $.20 to connect and $.04 each minute. Simplify an expression that represents how much more company x charges incense for n minutes

Answers

Step-by-step explanation:

m = number of minutes

x(m) = 0.05m + 0.3

y(m) = 0.04m + 0.2

to find the difference between both company plans we need to subtract y from x :

0.05m + 0.3 - (0.04m + 0.2) =

= 0.05m + 0.3 - 0.04m - 0.2 =

= 0.01m + 0.1

company x charges for n minutes

$0.01n + $0.1

more.

26=-12y-9+7y what is this answer

Answers

Answer:

[tex]y = - 7[/tex]

Solving steps:

=> 26=-12y-9+7y

Step 1: Simplify both sides of the equation.

make y the subject of formula

=> 26=−12y+−9+7y

=> 26=(−12y+7y)+(−9)

Combine like terms

=> 26=−5y+−9

=> 26=−5y−9

Step 2: Flip the equation.

=> −5y−9=26

Step 3: Add 9 to both sides.

=> −5y−9+9=26+9

=> −5y=35

Step 4: Divide both sides by -5.

.=> [tex] \frac{ - 5y}{ - 5} = \frac{35}{ - 5} [/tex]

=> y = - 7

helppppp
Find the value of x.

Answers

The value of x is 8.77

PLEASE HELP!!

(2x+3y-7)+(x-y)

show how you got the answer too please

Answers

Answer:

  3x +2y -7

Step-by-step explanation:

The given expression can be simplified by combining like terms. Those are terms with the same variable. The commutative and associative properties of addition apply, as well as the distributive property.

   (2x +3y -7) +(x -y) . . . . . given

  = 2x +3y -7 +x -y . . . . . . eliminate (unneeded) parentheses

  = (2x +x) +(3y -y) -7 . . . . group like terms

  = (2+1)x +(3-1)y -7 . . . . . . combine coefficients of like terms (this is an application of the distributive property)

  = 3x +2y -7

what is 8 & 3/4 x 3
(I need this today!)

Answers

3/4 x 3 = 9/4

Since you need to multiply first you add the 8 later after you solve the multiplication

8 9/4

Answer:

26 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

8[tex]\frac{3}{4}[/tex] = [tex]\frac{(8x4)+3}{4}[/tex] = [tex]\frac{35}{4}[/tex]

[tex]\frac{35}{4}[/tex] x [tex]\frac{3}{1}[/tex] = [tex]\frac{105}{4}[/tex] = 26.25 = 26 [tex]\frac{1}{4}[/tex]

Quadrilateral GHIJ is similar to quadrilateral KLMN. Find the measure of side NK.
Figures are not drawn to scale.

Answers

Answer:
NK = 14.4

Step-by-step explanation:

Given the following question:

We know that the two sides are similar
JI = 3, NM = 7.2

The scale factor is 2.4 since....

[tex]3\times2.4=7.2[/tex]


Knowing the two sides are similar and if we multiply JI by 2.4, we get NM we can easily do the same for JG and NK.

JG = 6
[tex]6\times2.4=14.4[/tex]
[tex]=14.4[/tex]

NK = 14.4

Hope this helps.

write a personal letter

Someone help and please make sure the answer right pls, pls help I’m confused

Answers

Answer:

it's the third bubble

Step-by-step explanation:

Answer:

n³ - 2n² - 3n + 2 + (2 / x - 4)

Step-by-step explanation:

n^4 - 6n³ + 5n² + 14n - 6

(n - 4) x

n^4 - 6n³ + 5n² + 14n - 6

-n^4 + 4n³

-2n³ + 5n² + 14n - 6

(n - 4) x -2n²

-2n³ + 5n² + 14n - 6

2n³ - 8n²

-3n² + 14n - 6

(n - 4) x -3n

-3n² + 14n - 6

3n² - 12n

2n- 6

(n - 4) x 2

2n - 6

-2n + 8

R. 2 / x - 4

I hope this helps!

QUESTION ON PIC THANK YOU!!

Answers

when d>100
total = (0.1)d

joy is (4x + 5) years old her brother micheal is (3x - 2) years younger than her sister. then write an expression thet represents Michael's age​

Answers

Answer:

(x +7) years old

Step-by-step explanation:

Joy= (4x +5) years old

Since Michael is (3x -2) years younger, we need to subtract (3x -2) from Joy's age to find out his age.

Michael

= (4x +5) -(3x -2)

= 4x +5 -3x +2 (expand)

= x +7

Thus, Michael is (x +7) years old.

A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many pound of fertilizer will the farmer need to make a mix that contains 120 pounds of soil?

Answers

Answer

There will be 9 pounds of fertilizer

Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?

Answers

well, is simply the difference from what the bottle has and what she poured, hmm let's firstly convert the mixed fraction to improper fraction and then subtract.

[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{2}~~ - ~~\cfrac{3}{4}\implies \cfrac{(2)5~~ - ~~(1)3}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{10-3}{4}\implies \cfrac{7}{4}\implies 1\frac{3}{4}[/tex]

The ratio of yellow crayons to green crayons is 6 : 5.



If there are 18 yellow crayons, how many green crayons are there?

Answers

Answer:

15 Green crayons

Step-by-step explanation:

Ratio Yellow to green crayons

Thus, 6 → Yellow and 5 → Green

6       5

18      x

We need to divide 18 by 6 which is 3

5 x 3 = 15

Hence, Green Crayons ⇒ 15

[RevyBreeze]

15 green crayons

Step-by-step explanation:

Given:

The ratio of yellow crayons to green crayons is 6:5.

To Find:

If there are 18 yellow crayons, how many green crayons are there?

Solution:

Let,

yellow crayons = 6x green crayons = 5x

If there 18 yellow crayons so,

6x = 18

x = 18/6 = 3 ...(1)

By putting the value of x from equation (1) :-

➝ 5x => 5 × 3

=> 15

Therefore, there are 15 green crayons.

If A = 2x - 722 + 3 and B = 4x2 - 12x, what is A + B?

A) -3x^2+10x+3

B) -3x^2-10x+3

C)3x^2-10x+3

D)6x^2-7x-9

Answers

Answer:

B

Step-by-step explanation:

Combine like terms. Like terms have same variable with same power.

2x & (-12x) are like terms  and

-7x²  & 4x²  are like terms

A = 2x - 7x² + 3

B = 4x² - 12x

A + B = 2x - 7x² + 3 + 4x² - 12x

         = 2x  - 12x   - 7x² + 4x² + 3

         =  (2-12)x + (-7 + 4)x² + 3

           = -10x + (-3x²) + 3

          = -3x² - 10x +3

What is sin 60°?
A. 1
B. 1/2

Answers

Answer:

B.

[tex] \frac{1}{2} [/tex]

Hope it helps you<3

Ivan rocks 2 1/8 miles to his aunts house he has already walked 3/4 miles how much further does he have to go explain how you solved

Answers

Just subtract the fractions

There is a pair of parallel sides in the following shape.
10
2
2
What is the area of the shape?

Answers

The area of the shape is 12 square units

Area of a trapezium

The given shape is a trapezium and the formula for calculating the area of a trapezium is expressed as:

A = 0.5(a+b)h

Given the following parameters

a = 2

b = 10

h = 2

Substituting the given parameters

A = 0.5(2+10)*2
A = 0.2(12) * 2

A = 12 square units

Hence the area of the shape is 12 square units

Learn more on area of trapezium here: https://brainly.com/question/16904048

Aysha has 136 buttons and 8containers,can she divided the buttons equally between the containers?

Answers

Yes she can, each container will have 17 buttons each

PLEASE PLEASE HELP
Connor needs 60 mL of a 19% acid solution for a science experiment. He has available a 21% solution and a 15% solution.
How many milliliters of the 21% solution and how many milliliters of the 15% solution should he mix to make the 19%
solution?

Answers

Answer:

Let x = ml of 21% solution

Let y = ml of 15% solution

ATQ,

x + y = 60.....(1)

or

0.21x + 0.15y = 0.6....(2)

Multiplying equation 1st by 0.21, we get,

0.21y+0.21y =12.6....(3)

subtracting equation 3

0.21y+0.21y =12.6

-0.21x +0.15y = 0.6

_________________

ㅤㅤㅤ 0.6y = 12

_________________

6y = 12

y = 20ml

x= 60-20 = 40 ml

Hence , Conner needs 20ml of 21% solution & 40ml of 15% solution

Write 4 equivalent expressions to 5n = 15n

Answers

The answer..




Here\/ .
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