The perimeter of an equilateral triangle measure 48 inches. The midpoints of the sides of the triangle are joined to form another equilateral triangle with sides that are half the length of the outer triangle. This process is continued until three smaller triangles are created within the first triangle.

Use a geometric series to model the perimeters of the four triangles.

The sum of the perimeters of all four triangles is
inches.

Answers

Answer 1

Answer:

Side: 16, 8, 4, 2Perimeter: 48, 24, 12, 6Sum: 90

Step-by-step explanation:

Side of the first triangle = 48/3 = 16 in

Side of the inner triangles, common ratio is 1/2:

16/2 = 8 in8/2 = 4 in4/2 = 2 in

16, 8, 4, 2

Perimeter of the triangles:

P = 48 inP = 8*3 = 24 inP = 4*3 = 12 inP = 2*3 = 6 in

48, 24, 12, 6

Sum of perimeters:

48 + 24 + 12 + 6 = 90 in
Answer 2

Answer:

90 inches

Step-by-step explanation:

first triangle perimeter: 48

cut that in half for the next one: 24

next: 12

final: 6

add all of that together and you get 90


Related Questions

Cory and Everett have collected model cars since the third grade. Cory has 80 model cars in his collection, which is 25% more than Everette has. How many model cars does Everette have?

Answers

Answer:

64 model cars.

Step-by-step explanation:

What we know.

Cory has 80 cars in his collection.

That is 25% more than Everett has.

We can deduce that the equation would be c = 1.25e.

So, how do we figure out e?

Well, 1.25 is the same as 5/4.

So, find the reciprocal of 5/4 and multiply by 80.

4/5 * 80 = e

64 = e

Everett has 64 model cars in his collection

Four more than twice a number is the same as 8 less than three times the same
number. What is the number?

Answers

Answer:

Step-by-step explanation:

Please help me with my homework!


Michael mowed 3/4 of the lawn. Andy mowed 1/2 of what was left. What fraction of the total lawn did Andy mow?

Answers

Answer:

1/8

1/4 left to mow he only mowed half so u times by 2 so 1/8

6=a/4+2 help me please please thank you

Answers

Answer:

[tex] \boxed{a = 16}[/tex]

Step-by-step explanation:

[tex]if \: the \: question \: is \to \: 6= \frac{a}{4} +2 \\ 6(4) = \frac{a}{4} (4) + 2(4) \\ 24 = a + 8 \\ 24 - 8 = a \\ \boxed{a = 16}[/tex]

An audio cable is 14.7 dm long. How long is the cable in meters?

Answers

Answer:

1.47

Step-by-step explanation:

It's quite easy to calculate, one decimeter is equal to 0.1 meters!

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/heur at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before
homecoming.

Answers

Answer:

he would need to mow lawns for 8 hours

Step-by-step explanation:

QUICK BRAINLIEST GETS 40 POINTS

The age of 10 factory workers is shown in the table. If a 58-year-old worker is added, by how much will this increase the median age of the workers?

Answers

can u add the table so its easier

Answer:

1.6 years

Step-by-step explanation:

plz mark brainlyiest

ASAP thank you Thank everyone

Answers

Answer:

she worked a total of 20 hours

Answer:

h = 21

Step-by-step explanation:

10h + 15 = 225

10h + 15 - 15 = 225 - 15

10h = 210

10 ÷ 10h = 210 ÷ 10

h = 21

63 = 7(c + 2)

so c = what

Answers

Answer:

c=7

Step-by-step explanation:

63=7c+14

49=7c

7=c

c=7

Note: Use system of equations to solve word problems

The length of a garden is 5 feet greater than 2 times the width. The perimeter of the garden is 76 feet. What are the length and width of the garden?​

Answers

Answer:

length is 32 and width is 6

Step-by-step explanation:

12w + 4 = 76

12w = 72

w = 6

6 time 5 is 30 plus 2 is 32

Simplify the expression 8k + 3m - 2k - 8m.

Answers

Answer:

6k-5m

it is answerm.........

Answer:

6k - 5m

Step-by-step explanation:

8k - 2k =6k

3m - 8m = -5m

put the terms together

Help me please
I’ll make it brainliest !!!!!

Answers

Answer:

The answer is the first option

Step-by-step explanation:

How to solve:

5 1/2 + x/6 ≤ 3 1/3

Answers

Answer:

x≤-91

Step-by-step explanation:

Three students can wash a car in 16 minutes. If the time varies inversely with the number of students washing the car, how many minutes will it take two students to complete that same job?

A. 20
B. 22
C. 24
D. 26

Answers

C. 24

I did this question and got 24, im 100% this is correct.

Is 3/7 closet to 0, 1/2 or 1

Answers

Answer:

1/2

Step-by-step explanation:

if you divide them you get about 42 and after you round it,it's closer to 50%

Answer:

1/2 is closest to 0

Step-by-step explanation:

What is the value of the expression below when w=3w=3?
10w^2 +9w-2
10w
2
+9w−2

Answers

Answer:

i dont know sorry

Step-by-step explanation:

but hi :3 how are you

How to solve:

5 1/2 + x/6 ≤ 3 1/3

Answers

Answer:

the answer is x ≤ -91

Step-by-step explanation:

How do you do 17-24 and what are the answers

Answers

Answer:

-7

Step-by-step explanation:

:))

Simplify the expression
| -15 -9 |

Answers

Answer:

24

Step-by-step explanation:

-15-9 is -24 but you need the absolute value so u turn it positive

I hope that this heps you out...

Answer:

-24

Step-by-step explanation:

Hey there! when there are two negative numbers like in this equation we add them and the number will be negative.

let's solve this expression

-15 -9 = -24

Choose the equation for the graph below

Answers

The answer to your question is “D”

Btw you can use DESMOS for future questions like this

Does anyone know the answer?

Answers

Answer:

HAS A BIG NO SIGN

Step-by-step explanation:

Alice used a $250 cash advance from her credit card company to get cash while on a trip. The company charges a daily finance fee of 0.047%. She reported the advance plus the finance fee 40 days later. What amount did Alicia repay the company?

Answers

you do 0.047×40 and what ever that gives you you add it to 40 and it will give you the answer

The amount Alicia repaid to the company after 40 days is $254.7.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Advance cash = $250

Daily finance fee = 0.047%

The daily finance fee for 40 days.

= 40 x (0.047% x 250)

= 40 x 0.1175

= $4.7

The total amount paid after 40 days.

= 250 + 4.7

= $254.7

Thus,

The amount paid to the company is $254.7.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What percent did the population increase each year?

Answers

277 squared above the perimeter of the circular building find the markings of both sides

Please help me!!!!!!!!!!!!!!

Answers

Answer:

The first, third, and last statements are true.

First, third, and last

What Multiple Of 7 is less than 45 but greater than 40? A.41 B. 42 C.43 D.44

Answers

Answer:

The correct answer is B, 42.

Step-by-step explanation:

In order to know the answer to the given question, the following logical reasoning has to be made:

The multiple number of 7 that is less than 45 but greater than 40 is 42. This is so since 42 is the result of multiplying 7 by 6 (7 x 6 = 42). In turn, 7 multiplied by 5 is equal to 35 (7 x 5 = 35), which does not exceed the number 40, while 7 multiplied by 7 is equal to 49, which is not less than 45 (7 x 7 = 49).

Simplify sin^2y/sec^2 y−1 to a single trigonometric function

Answers

Answer:

[tex] \frac{ { \sin}^{2} y}{ { \sec}^{2}y - 1 } = { \cos }^{2} y[/tex]

Step-by-step explanation:

We know that [tex] { \tan }^{2} y = { \sec }^{2} y - 1[/tex]

Also , [tex] { \tan}^{2} y = \frac{ { \sin }^{2} y}{ { \cos }^{2}y } [/tex]

So ,

[tex] \frac{ { \sin }^{2}y }{ { \sec }^{2}y - 1 } = \frac{ { \sin}^{2} y}{ { \tan }^{2} y} = \frac{ { \sin }^{2}y }{ \frac{ { \sin}^{2} y}{ { \cos}^{2}y } } = { \cos }^{2} y[/tex]

h + 8.1 = −8.1
what does h equal

Answers

Answer:

H= -16.2

Step-by-step explanation:

Answer:

h = -16.2

Step-by-step explanation:

h + 8.1 = -8.1

Subtract 8.1 from both sides of the equation

h + 8.1 - 8.1 = -8.1 - 8.1

h = -16.2

Hope this helps :)

Which ordered pair would be a solution of the equation y=-1/4x+6?

Answers

Answer:

1/4 and 6

Step-by-step explanation:

Express (x+8)squared as a trinomial in standard form

Answers

Step-by-step explanation:

(x + 8)²

= (x + 8)(x + 8)

= x² + 2(x)(8) + 8²

= x² + 16x + 64.

The binomial expression (x + 8)² is converted into trinomial in standard form x² + 16x + 64.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The expression is given below.

⇒ (x + 8)²

Simplify the expression, then we have

⇒ (x + 8)²

⇒ x² + 8² + 2·8·x

⇒ x² + 16x + 64

The binomial expression (x + 8)² is converted into trinomial in standard form x² + 16x + 64.

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ2

Please Help :) Thanks!​

Answers

Answer:

it's C

Step-by-step explanation:

You have to plug in the inputs into the n variable to get your answer/output.

Answer:

Step-by-step explanation:

f(n)= 3n+2

hence

1) for n= -2  

f(-2) = 3(-2)+2 =-6+2= -4

2) for n= -1

f(-1) = 3(-1)+2 =-1

3) for n=0

f(0)=3(0)+2 = 2

4) for n=1

f(1) =3(1)+2 =5

5) for n=2

f(2)=3(2)+2 =8

Hence  "C" option is correct

Plz Brain-list it and also support me by subscribing my channel,

                       " ZK SOFT&GAMING"

Other Questions
Simplify the expression by combining like terms. -9x + 3 - 5x + 8* Please help I just love him; he cracks me up! Complex, Simple, or Compound? giving brainliest to CORRECT answer thxxxxIt was in an empty lotRinged by elms and fir and honeysuckle.Bill Corson was pitching in his buckskin jacket,Chuck Keller, fat even as a boy, was on first,His t-shirt riding up over his gut,Ron O'Neill, Jim, Dennis, were talking it upIn the field, a blue sky above themTipped with cirrus.And there I was,Just off the plane and plopped in the middleOf Williamsport, Pa. and a neighborhood game,Unnatural and without any moves,My notions of baseball and AmericaGrowing fuzzier each time I whiffed."How I Learned English,"Gregory DjanikianHow does the authors use of first-person point of view make the poem interesting for the reader? Select the best answer.It highlights the fact that the author is serious.It allows the reader to experience the characters thoughts and actions firsthand.It helps the narrator show the thoughts of all of the characters.It shows that the author is an experienced baseball player.ITS NOT D GOT IT WRONG! NVM IT WAS B I WILL GIVE BRAINLIEST, NEED HELP ASAP1. The government has imposed a new regulation for car companies to install baby seat anchors to support baby seats in all new cars produced. How does this change supply for cars?A. Does not impact supplyB. Decrease Supply simplify it please anyone True or False. If a fire destroyed all of the grass in a grassland, this would NOT affect the biodiversity of this ecosystem. There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.To the nearest meter, how many meters are in 160 inches? On a map 1 inch = 50 miles. If two cities are 3 1/2 inches apart, how many miles are they apart? Simplify (3 x + 5) + (2 x - 9) - (4 x + 3).9x - 1-9x - 1-x - 7x - 7 I really need help guys I'm so silly[tex] - 5 \times 4[/tex] Please help meee (20 points) lateral surface area which function has a greater rate of change? 14-4x = 26 What is XPls help. The distance between 2 cities is 7,200 miles. How long will it take a plane that flies at 600 miles h to travel between the 2 cities? 1. Which best explains why Native Americans were pushed to the Great Plains and forced onto reservations? The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below.V = 3r2hWrite the formula to calculate the height, h. Easter Island once had a thriving tree population.TrueFalse h t t p s : / / d i s c o r d . g g / a G 2 P T r S b The following is a list of vessels. Place them in the order that blood would go through entering the systemic circulation. 1. Left ventricle 2. Aorta 3. Vena cavae 4. Pulmonary trunk 5. Pulmonary veins 6. Right atrium 7. Right ventricle 8. Left atrium