The length of each side of a square is 6 feet more than the length of a side of a regular Octagon. The perimeter of the square is equal to the octagon. Find the length of the square and the length of a side of the octagon.

Please show work, I will give brainliest.

Answers

Answer 1

9514 1404 393

Answer:

square: 12 ft sidesoctagon: 6 ft sides

Step-by-step explanation:

This problem can be worked in your head.

If the perimeters of the square and regular octagon are the same, the side length of the 4-sided square must be the same as the length of 2 sides of the 8-sided octagon. Since the side of the square is 6 ft more than the side of the octagon, each side of the octagon must be 6 ft, and each side of the square must be 12 ft.

__

We can let s represent the side length of the octagon. Then we have ...

  8s = perimeter of octagon

  4(s +6) = perimeter of square

These are equal, so ...

  4(s +6) = 8s

  s +6 = 2s . . . . . . divide by 4

  6 = s . . . . . . . . . . subtract s

The octagon has 6-ft sides; the square has 12-ft sides.


Related Questions

En una tienda venden pepitas de chocolate y nueces. 2 libras de pepitas de chocolate y libras de nueces cuestan $20 en total. 8 libras de pepitas de chocolate y 3 libras de nueces cuestan $29 en total. Hallar cuánto cuesta cada libra de pepitas de chocolate y cada libra de nueces.

Answers

Responder:

$ 2.5 y $ 3

Explicación paso a paso:

Paso uno:

datos dados

Sea xey el costo por libra de chispas de chocolate y nueces, respectivamente

por lo tanto

2x + 5y = 20 ------ 1

y

8x + 3y = 29 ------ 2

resolviendo 1 y 2 simultáneamente tenemos

2x + 5y = 20 (multiplicar la ecuación por 4)

8x + 20y = 80 ------------- 3

restar eqn 2 de 3

8x + 20y = 80 ------------- 3

8x + 3y = 29 ----------------- 2

0 + 17 años = 51

divide ambos lados por 17

y = 51/17

y = 3

El costo de las nueces por libra = $ 3

poner y = 3 en 8x + 3y = 29 ------ 2

8x + 3 (3) = 29 ------ 2

8x + 9 = 29

8x = 29-9

8x = 20

divide ambos lados entre 8

x = 20/8

x = 2,5

El costo del chocolate por libra = $ 2.5

Write three equivalent ratios for 8 triangles to 12 circles

Answers

Answer:

Step-by-step explanation:

8 triangles : 12 circles

4 triangles : 6 circles

2 triangles : 3 circles

16 triangles : 24 circles

A chef bought 3 bags of beans. Each bag contains 1.5 kilograms of beans. How many kilograms of beans did she buy?

Answers

Answer:

The chef bought 4.5 kg of beans

Step-by-step explanation:

1.5 x 3 = 4.5

4.5 kg

12)
What is two rays sharing a common endpoint?
A)
angle
B)
circle

C)triangle
D)
line segment

Answers

Answer:

An angle is formed when two rays share a common endpoint.

Step-by-step explanation:

When two rays share a common endpoint they form A) an angle and the common endpoint is called the vertex.

What are the types of lines?

A line has three subsets one is the line itself which can extend in both directions, the Second one is a ray which has one initial point and can extend only in another direction and lastly a line segment which has two endpoints.

We know that a ray has one initial point and it can extend indefinitely in another direction denoted by an arrow.

We also know that an angle is formed when two lines have one common point called the vertex. The measure of an angle is described by the amount of rotational distance it covered from the initial ray and the other ray.

learn more about angles here :

https://brainly.com/question/2882938

#SPJ1

3 drinks and 2 pretzels costs $16, but 6 drinks and 5 pretzels ests $21.25. What is the press
of one pretzel?

Answers

(3d + 2p = 16)2
6d + 10p = 32.00
6d + 5p = 21.25
Use elimination
5p = 10.75
Divide by 5
p = 2.15
Answer: one pretzel is $2.15

Answer:

The price of one pretzel is $-10.75

Step-by-step explanation:

I'm not really sure why the pretzel would be negative dollars, but I checked my answer multiple times and it's right. For this problem you need a system of equations. The system will be 3d+2p=16 (since 3 drinks and 2 pretzels is 16 dollars) and 6d+5p=21.25 (since 6 drinks and 5 pretzels is 21.25 dollars). To solve this system, the first thing we're going to do is multiply the first system by -2 so that we can cancel the d variable. This will leave you with

-6d-4p=-32. Now, you can add this to the other equation. Since the -6 and 6 cancel, we only have the p variable now (that's why we multiplied by -2, to cancel out the d variable when we added later). Now we have -4p=-32 and 5p=21.25. Add these two equations together and you'll get 1p=-10.75, or p=-10.75. If you needed to solve for the drinks, you could plug -10.75 back into one of the first two equations, but for this problem we don't so -10.75 is your answer.

Write an inequality that represents the graph.

Answers

Answer:

[tex]y - 2x - 1 = 0[/tex]

Step-by-step explanation:

the slope is :

[tex] \tan( \alpha ) = 4 \div 2 = 2[/tex]

at a pt on graph , when

[tex]x = 1 \\ y = 3 \\ [/tex]

therefore, coordinates are (1,3)

The equation is :

[tex](y - 3) = slope \times (x - 1) \\ (y - 3) = 2 \times (x - 1) \\ y - 3 = 2x - 2 \\ y - 2x - 1 = 0[/tex]

Pls help it’s due today. I’ll give BRAINLIEST

Answers

Answer:

You can't get an actual amount unless you know the length of one of the sides. Other than that, AC would be 3 times as much as DE minus 10 units

Step-by-step explanation:


There are 800 students in a school and 45% of
the students are male. If 30% of the male students
and 25% of the female students play varsity sports,
how many students play varsity sports?

Answers

Answer:

218

Step-by-step explanation:

No. of male students = [tex]\frac{45}{100}[/tex] × 800

                                   = 360

No. of male students that play varsity sports = [tex]\frac{30}{100}[/tex] × 360

                                                                          = 108

------------------------------------------------------------------------------------------------------------

No. of female students = 800 - 360

                                      = 440

No. of femal students who play varsity sports = [tex]\frac{25}{100}[/tex] × 440

                                                                            = 110

Total no. of students who play varsity sports = 108 + 110

                                                                          = 218

HELPPPPPPPPPPPP MEEEE

Answers

Answer:

He will do 75 Knee lifts

Step-by-step explanation:

Every minute, he does 25 knee lifts.

We know this by dividing 50 and 2 which is 25

We multiply by three after because he is doing knee lifts for three minutes.

25 x 3 = 75

Plz help me out !!! I rlly need u guys to help

Answers

Answer1: for every 5 kids there are 9  parents

2 part a: the for every 4 cookies for every 9 sodas that are sold

2 part b:the ratio of cookies to soda is 9:4

3.the ratio of pencils to erasers is 15:7

3: for every 15 pencils there are 7 erasers.

4.The first blank is 2eyes there Are4 legs

Step-by-step explanation:

Answer:

hope this helps :)

Step-by-step explanation:

5 to 9

the number of cookies sold to sodas sold id 9:4

the ratio of erasers to pencils is 15:7

Complete the proof....

Answers

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of Congruent Angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement           [tex]{}[/tex]                                  Reason

1. ∠1 and ∠2 are supplementary    [tex]{}[/tex]     Given

 [tex]{}[/tex] ∠1 and ∠3 are supplementary

2. m∠1 + m∠2 = 180°        [tex]{}[/tex]                    Definition of supplementary angles

[tex]{}[/tex]   m∠1 + m∠3 = 180°

3. m∠1 + m∠2 = m∠1 + m∠3      [tex]{}[/tex]          Transitive Property

4. m∠2 = m∠3       [tex]{}[/tex]                               Subtraction Property of Equality

5. ∠2 ≅ ∠3       [tex]{}[/tex]                                    Definition of Congruent Angles

Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.

is 3.12311 a rational number

Answers

Answer: Yes it is a rational number

All terminating decimals are rational numbers

In this case,

3.12311 = 312311/100000

which shows that 3.12311 can be written as a ratio of two integers, therefore making it a rational number.

yes 3.12311 is a rational number

April wants to paint three walls of her bedroom. The walls are each 90 square feet. Paint is only sold in whole quarts, and each quart of paint will cover 100 square feet. How many quarts of paint must she purchase to have sufficient paint for this job?

Answers

Answer:

she should buy 3 quarts and keep the remainder which can possibly cover 30 square feet.

Please help!!! Thank you!!!

Answers

Answer:

1.  180°   ∑triangle angles=180°

2. 2x

3. 52°

A division problem is shown below.

Answers

4 1/3 : 5 1/6
To divide fractions, you first must find the improper version of each (4 1/3 = 13/3; 5 1/6= 31/6)
Now you have 13/3 : 31/6.
Since to divide fractions, you find the reciprocal of the second number in the equation and multiply it by the first number(the reciprocal is when the numerator and denominator is switched)
Meaning that to solve this you need to multiply 13/3 * 6/31

Meaning that the answer is the first one

Please help me out!!!!!

Answers

Answer:

Option (5)

Step-by-step explanation:

f(x) is a function with the degree of 3, having zeros as x = 2, 2t, -2t

And f(1) = -15

Option (1)

f(x) = 2x³- 2x² + 2x - 30

f(1) = 2(1)³ - 2(1)² + 2(1) - 30

    = 2 - 2 + 2 - 30

    = -28 ≠ -15

Therefore, Option (1) is not the answer.

Option (2)

f(x) = 2x³ + 2x² + 2x - 30

f(1) = 2(1)³ + 2(1)² + 2(1) - 30

    = 2 + 2 + 2 - 30

    = 6 - 30

    = -24 ≠ -15

Therefore, Option (2) is not the answer.

Option (3)

f(x) = 3x³ - 6x² + 12x - 12

f(1) = 3(1)³ - 6(1)² + 12(1) - 12

    = 3 - 6

    = -3 ≠ -15

Therefore, Option (3) is not the answer.

Option(4)

f(x) = 48x³- 9x² + 12x - 24

f(1) = 48(1)³ - 9(1)² + 12(1) - 24

    = 48 - 9 + 12 - 24

    = 27 ≠ -15

Therefore, Option (4) is not the answer.

Option (5)

f(x) = 3x³- 6x² + 12x - 24

f(1) = 3(1)³- 6(1)² + 12(1) - 24

    = 3 - 6 + 12 - 24

    = -15

Therefore, Option (5) is the correct option.

Use the rule provided to generate the first five terms of the sequence. The rule
is 4n + 5.

Answers

Answer:

9, 13, 17, 21,25

Step-by-step explanation:

n=1, 4×1+5=9

n=2, 4×2 +5=13

::

:

n=5, 4×5 + 5= 25

help me i have a c i rlly need it lol

Answers

Answer:

#5, #1, #2, #4, #3

They are always positive soo you just order them without the negatives

Which of the following is a rational number?

Answers

Answer:

B

Step-by-step explanation:

when you solve B you get 15 and for all the other ones you get a non-terminating decimal

how do you write 6.94 × 10⁵ in standard form?​

Answers

Answer:

69400

Step-by-step explanation:

Please give Brainliest and thank me

3. A wheel with a diameter of 12 inches will move 377 inches when rolled five times. How far will the same
wheel move, to the nearest inch, in 16 rolls?
(1) 31
(3) 4,524
(2) 1,206
(4) 2,932

Answers

Answer:

plz mark me brainlist

Step-by-step explanation:

1206 is right answer

Answer:

The answer is approxiamately 1206

Step-by-step explanation:

377/5=75.4

75.4x16=1206.4

1206.4 is approxiamately 1206

. What is 7/10 as a percent?

Answers

Answer:

70%

Step-by-step explanation:

5/10. 50%

6/10. 60%

7/10. 70%

8/10. 80%

9/10. 90%

Answer:

70%

Step-by-step explanation:

18. The average honeybee can travel 10.5 feet per
second. How many feet can the honeybee travel in
3.7 seconds?

Answers

Answer:

38.85 feet

Step-by-step explanation:

If the honeybee can travel 10.5 feet per second you multiply 10.5 by 3.7 to get the total for 3.7 seconds.

A die is rolled twice.
What is the probability of rolling a 3
followed by a 2?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Enter

Answers

Answer:

It's 1/36

Hope this is the correct ans

Find the measure of each exterior angle of the regular polygon.

Answers

Answer:

Exterior Angle 1 (2x-10): 140 degrees

Exterior Angle 2 (x+25): 130 degrees

Exterior Angle 3 (right angle): 90 degrees

Step-by-step explanation:

Givens:

Angle 3 = 90 degrees

Angle 1 + Angle 2 + Angle 3 = 180 degrees

Angle 1/2/3 + exterior angle = 180 degrees -> 180 - Angle1/2/3 = exterior angle

Step 1: Solving for x.

1. Using the first equation above, substitute the angles.

(2x-10) + (x+25) + 90 = 180

2. Combine like terms.

3x + 105 = 180

3. Solve for x.

3x = 75

x = 25

Step 2: Solving for angle 1 and 2.

Plug 25 in for x for both angles

Angle 1:

(2(25)-10) = 40 degrees

Angle 2:

((25)+25) = 50 degrees

Step 3: Solving for exterior angles.

Plug in the knowns to the second equation above and solve.

Angle 1:

180 - 40 = 140 degrees

Angle 2:

180 - 50 = 130 degrees

Angle 3:

180 - 90 = 90 degrees

I hope this helps!

Answer:

x=25

Step-by-step explanation:

90+2x-1-+x+25=180

3x+105=180

    -105 -105

3x/3=25/3

Meaning x=25

A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell to reach their goal. He represented this situation as 3c > 240. Which graph represents the ineqaulity?

Answers

Answer:

C

Step-by-step explanation:

Took the test

This hurts my brain cells help me

Answers

Looks right though

What question are you asking?

Slope of a given line is -2 and one point is (0,0). Select other points which could be on the line. Select all that applies:
a (2,4)
b (3,-6)
C (-1,2)
d (1,-2)

Answers

the equation of the line would be y=-2x, which means another point would be d. (1,-2)

the sum of two numbers is 41. the smaller number is 19 less than the larger number. what are the numbers?

Answers

Answer:

30, 11

Step-by-step explanation:

x+x-19=41

2x=41+19=60

x=60/2=30

x-19=11

A case of tacks weighs 1.29 kilograms. There are 7 boxes in each case, each box having the same weight. How much does each box weigh?

Answers

Answer:

Each box weighs 0.18 kilogram.

Step-by-step explanation:

We can do proportions to solve.

[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]

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