Jared and Morgan are making two gazebos in the shape of regular polygons, Jared's gazebo is a heptagon
and has an apothem of 13.6 feet and an area of 623.5 ft and Morgan's gazebo is an octagon has an
apothem of 12.5 feet and an area of 517.8 ft". Which gazebo has the longest side length?

Answers

Answer 1

The gazebo with the longest side length is the heptagon.

What is the side length of the heptagon?

A heptagon is a polygon with 7 sides. It has 7 edges and vertices.

The length of the side of a heptagon = (area of the heptagon x 2) / (number of sides x length of the apothem)

= (623.5 x 2) / (7 x 13.6)

= 1247 / 95.2

= 13.1 feet

What is the side length of the octagon?  

A octagon is a polygon with 8 sides. It has 8 edges and vertices. The sum of internal angles in 135 degrees.

The length of the side of a octagon = (area of the octagon x 2) / (number of sides x length of the apothem)

= (517.8 x 2) / (12.5 x 8)

= 1035.6 / 100

= 10.356 feet

To learn more about an octagon, please check: https://brainly.com/question/12080203


Related Questions

Find the value of a in parallelogram PQRS.​

Answers

360=(4a-12)+(12a)+(3a)+(x)
A=18.6 or 93/5

Perform the indicated operation.

10 + 19

Answers

Answer: 29

Step-by-step explanation:

Ten plus twenty = 29

Find the missing side of the right triangle. Write the value only.

Answers

The missing side is 30

A board is 29ft long. The second piece is 4 times longer than the first. The third piece is 3 times longer than the second. What is the length of all pieces.

Answers

Answer:

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

Step-by-step explanation:

As given, Total length of the board = 29 ft

Let the board is divided into 3 pieces

Suppose that the length of first piece = x ft

As given, the second piece is 4 times longer than the first

⇒Length of second piece = 4x ft

Also given, the third piece is 3 times longer than the second.

⇒Length of third piece = 3(4x) = 12x ft

Now,

As total length of board = 29

⇒ x + 4x + 12x = 29

⇒ 17x = 29

⇒ x = [tex]\frac{29}{17}[/tex] = 1.7058823 ft

∴ we get

Length of first piece = 1.7058823 ft

Length of second piece = 4(1.7058823) = 6.82352941 ft

Length of third piece = 12(1.7058823) = 20.47058823 ft

A plumbing company charges a $95 fee for each job, plus $65 foreach hour that the job lasts. The expression 65h + 95can be used to calculate the cost of a job in dollars, where hrepresents the number of hours the job takes to complete. Part A.What is the cost of a job that lasts 1.5 hours?

Answers

Answer:

the answer would be 160H

The cost of a job that lasts 1.5 hours is  $ 192.5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The charge of each job by the plumbing company = $ 95

The charge on each hour for each job = $ 65

The equation for the cost of a job is = 65h + 95

where h is the number of hours for the job

Now , to calculate the cost of job that lasts 1.5 hours ,

substitute the value of h as 1.5

And , the equation becomes

= 65h + 95

= 65 ( 1.5 ) + 95

= 97.5 + 95

= $ 192.5

Hence , the cost of a job that lasts 1.5 hours is  $ 192.5

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ3

The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is

25 yards, which measurement is closest to the width of the pool?

A. 4 yards

B. 14.70 yards

C. 38.29 yards

D. 54 yards

Answers

Answer:

B)15 yards

Step-by-step explanation:

We can solve this using Pythagoras theorem as

Let

Width of the pool= c

Length of diagonal of swimming pool =b

Length of the pool= a

c^2= b^2 + a^2

c^2 - b^2 = a^2

C^2 = 29^2 - 25^2

C^2=( 841-625)

C= √216

( Width of the pool)=15 yards

Hence, measurement is closest to the width of the pool is 15 yards

how many 1/12 are in 5/6 of an hour

Answers

Answer:

10/12

Step-by-step explanation:

Use combining like terms to simplify the expression: 7x+2−5x+4

Answers

Answer:

2x+6

Step-by-step explanation:

add the numbers:7x+6-5x

combine the like terms:7x+6-5x

2x+6

Question 1
Which number falls between 0.92 and 0.922?
0.96
0.91
0.92
0.93
0.94
0.95
Select an Answer
A) 0.918
B)0.921
C)0.938
D)0.951

Answers

B). 921
.92, .921, .922
Just like regular counting but with decimals
B- 0.921, this would fall right in between both numbers

solve for X round your answer to the nearest tenth​

Answers

Answer

Are you sure the 31° is not a typo. It would make sense is the angle was 30° to solve for the other sides. Or do you know one more side, because then it could be solved by the Pythagorean theorem

Step-by-step explanation:

Sorry if my answer is wrong

Answer:

Thursday, 28th Jan 2021

8.38 PM

the answer in the photo

izin cerita guys,

jadi sebenernya ga ada yg namanya "kebetulan" ya kan?

hmm, jadi udah takdir ya kan?

sbnernya gw mau kenalan, tapi malu.

hmm

yoi

kalian pernah minum air cuka? yang itu lohh enak

mampir ke Palembang bung :v

yoo biso kan kito ketemu :v

sekian. btw joke kalian garing bro.

ganteng doang, .... (isi sendiri)

Please help!!
Will mark brainliest

Answers

Answer:

2/3x+5=y

Step-by-step explanation:

We already know that this has to be linear and that its y-intercept is 5 ((0,5) is a point on the table). That means that the equation is

mx+5=y.

Now all we need to do is plug in some points.

3m+5=7

(Subtract 5 from both sides)

3m=2

m=2/3

Please help me read the attached picture

Answers

Answer:

the second one.

Step-by-step explanation:

the sum of the interior and exterior angels are 360°

-12 - 6p - (-2) simplify

Answers

Answer:

-6p - 10 or -10 - 6p

Step-by-step explanation:

-12 - 6p - (-2)

= -12 - 6p + 2

= -6p - 10 or -10 - 6p

Please mark me Brainliest :)

Step-by-step explanation:

-10 -6p

A couch was originally priced at $800.00. The sale price is 25% off. Find the discount.

Answers

Answer:

The price after the discount is $600

The amount discounted off is $200

Step-by-step explanation:

Which expression is equivalent to X


Answers

Step-by-step explanation:

[tex]{( {x}^{ \frac{4}{3} } {x}^{ \frac{2}{3} })}^{ \frac{1}{3} } = {( {x}^{ \frac{4 + 2}{3} } ) }^{ \frac{1}{3} } = {( {x}^{2} ) }^{ \frac{1}{3} } \\ = {x}^{ \frac{2}{3} } [/tex]

If a circle has a diameter of 23 inches, then the radius will be_____?

Answers

Answer:

half. what is half of 23? 11.5 inches

Step-by-step explanation:

Question 7 of 25
What is the approximate value of sin C?

Answers

Answer:

-0.5

Step-by-step explanation:

Write a quadratic function to model the graph. Please help!!

Answers

Answer:

80 because that you need to work on

How many kilograms are there in 8 pounds? Hint: 1 lb ≈ 0.454 kg Round your answer to the nearest tenth.

Answers

It would be 4 kg. Explanation: Bc each kg is .5 when rounded so u take .5 and multiply it by 8lbs

Question 5 of 10
Rise is the horizontal change between any two points on a line.
A. True
B. False
SUBMIT

Answers

Answer:

False

Rise is the vertical change not the horizontal

Step-by-step explanation:

Enter the numerator that makes the equation true.


1 3/4 + 1 1/3 = 1 _/12 + 1 4/12


The '_' is blank.

Answers

Answer:

1 3/4

Step-by-step explanation:

First write the equation in mixed fraction form as;

1 3/4 + 1 1/3 = 1 _/12 + 1 4/12 ⇒  7/4  + 4/3 = _ + 16/12

7/4  + 4/3 = _ + 16/12

37/12 = _ + 16/12

37/12 - 16/12 = _

= 21/ 12

= 1 9/12

= 1 3/4

What is the solution to the inequality? 6x - 5 > -29

A. x 4

C. x > -4

D. x < 4

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

6x-5>-29  Equation/Question

Step 2

6x-5>-29  Simplify

6x>5-29

6x>-24

Step 3

6x>-24  Divide each sides by 3

Answer

x>-4

Hope this helps

Answer:

Solving the inequality [tex]6x - 5 > -29[/tex] we get [tex]\mathbf{x>-4}[/tex]

Option C is correct option.

Step-by-step explanation:

We need to find the solution of the inequality [tex]6x - 5 > -29[/tex]

For finding solution of inequality, we need to find value of x

So, solving the inequality

[tex]6x - 5 > -29[/tex]

Adding 5 on both sides

[tex]6x - 5 +5> -29+5\\6x>-24[/tex]

Divide both sides by 6

[tex]\frac{6x}{6}>\frac{-24}{6}\\x>-4[/tex]

So, solving the inequality [tex]6x - 5 > -29[/tex] we get [tex]\mathbf{x>-4}[/tex]

Option C is correct option.


Parker and his family are going on a trip to see Mount Rushmore. They will travel 55 miles per
hour by car. Write and solve an equation that Parker can use to find the number of hours (x) it
will take to drive 660 miles?
I
tin
Equation:
Solve: x =

Answers

Answer:

I'm just assuming here ok so I'm sorry if I'm wrong but I think it took them 12hrs

Convert each radian measure into degrees.
4) 8pi/3

Answers

Answer:

[tex]\boxed {\boxed {\sf 480\textdegree}}[/tex]

Step-by-step explanation:

First, remember that π radians is equal to 180 degrees. Therefore, to convert from radians to degrees, multiply by 180/π.

The radian measure given is 8π/3

[tex]\frac {8 \pi}{3} * \frac{180}{\pi}[/tex]

Multiply the fractions. Multiply across the numerator, then across the denominator.

[tex]\frac{8 \pi *180}{3 * \pi}[/tex]

The pi in the numerator and denominator will cancel out.

[tex]\frac{8 *180}{3 }[/tex]

Multiply.

[tex]\frac{1440}{3}=480[/tex]

The radian measure 8π/3 is equal to 480 degrees.

Pls helppp^^ ————————

Answers

Use math box it will give u the right answers ok928292hshs

The height to length ratio of the colorado state flag is 2:3. if a flag is 12 feet long (the bottom), what is its height?

Answers

Answer:

8

Step-by-step explanation: 2:3    3 corresponds with 12 feet long because we are talking about the length. we don't know the height yet. 12/3=4 shows that the ratio has a multiple of 4. 4 x 2= 8, so the height of the flag is 8 ft long.

Using the diagram below, what is the measurement of angle E?

A. 65°
B. 130°
C. 50°
D. 25°

Answers

C is the answer in my view

Please help me with this

Answers

Answer:

1. -10x + 9

2. 7/16x + 2

3. 2/3x -2

4. x + 1/3

5. -7x - 2/15

Answer:

1 is 6x+9

2 is 7/16x +2

3 is 2/3x -2

4 is x + 1/3

5 is -7x + -2/15

Step-by-step explanation:

Identify the slope and y-intercept in the following equation: y = -7x + 2

Answers

Answer:

Slope: -7

y-intercept: (0,2)

Step-by-step explanation:

Please help me | ty very much if you will :))

Answers

answer:

15/8

- this is the simplest form.

-- please mark the brainliest and click the thanks button if correct :)

Answer:

15/3

Step-by-step explanation:

You only need to multiply the top...

5/8x3

5x3

15

Then bring down the 8...

15/8

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