A wire that is 80 centimeters long is shown below. The wire is cut into two pieces, and each piece is bent and formed into the shape of a square. 80 cm wire Suppose that the side length (in centimeters) of one square is x cm. Express the perimeter of the big square in terms of x. (1 point)

Answers

Answer 1

Answer:

The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]

Step-by-step explanation:

From the information given:

The length of the piece of the wire  = 80 cm

When being cut into two pieces;

the length of the first wire = x

Then the length of the second(big) wire will be = 80 - x

However, when each piece is bent to a square shape

The length of one side of the first square = [tex]\dfrac{x}{4}[/tex]

The length of one side of the second(big) square; [tex]\dfrac{80-x}{4}[/tex]

Area of a square = l² ( where l is the length of the sides)

For the first square

A₁ = [tex](\dfrac{x}{4})^2[/tex]

A₁ = [tex]\dfrac{x^2}{16}[/tex]

The area of the second(big) square is:

A₂ = [tex](\dfrac{80-x}{4})^2[/tex]

A₂ = [tex](\dfrac{(80-x)^2}{4})[/tex]

The perimeter of the first square = [tex]4 \times \dfrac{x}{4}[/tex]

The perimeter of the second(big) square = [tex]\mathbf{4 \times \begin {pmatrix} \dfrac{80-x}{4} \end {pmatrix}}[/tex]


Related Questions

NEED ANSWER STAT
A theme park costs $25.00 to enter. One of the food stands within the park sells hot dogs for $2.50 each and hamburgers for $3.50 each. If Paul enters the park, walks to the food stand, and purchases hot dogs and hamburgers, the amount of money he spends can be modeled by the expression below.

2.5d+3.5b+25
2.5d+3.5b+25

Which of the following are correct interpretations for parts of this expression? Choose ALL that apply.
A.
2.5d represents the cost of entering the park
B.
2.5d represents the cost of purchasing d hot dogs
C.
2.5d represents the cost of purchasing d hamburgers
D.
3.5b represents the cost of entering the park
E.
3.5b represents the cost of purchasing b hot dogs
F.
3.5b represents the cost of purchasing b hamburgers
G.
25 represents the cost of entering the park

Answers

Answer:

B, F, G

Step-by-step explanation:

Answer:

B, F, G

Step-by-step explanation:

what's the sum of 2 plus 2​

Answers

Answer:

4

Step-by-step explanation:

Answer:

the sum is 4 and can i have brainliest? please i really need it

Step-by-step explanation:

the complement angle of 40 degree is

Answers

Answer:

50 degree angle

Step-by-step explanation:

Complementary angles add up to 90 degrees

2.75 + (-2)+(-6.25)
I am so bad at math please help me

Answers

Answer:

-5.5

Step-by-step explanation:

2.75+(-2)+(-6.25)=-5.5

-5.5 :))


hope this helped :))

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box box of paper weighs 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

Answers

Answer:

25s+70l=1110

s+l=21

PLZ HELPPP
What number is 70% of 60?

Answers

Answer:

42

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

42/60 = 70%

(Hope I helped)

For an upcoming field trip, there will be 36 fifth graders and 48 sixth graders. Each van will carry the same number of students, and only students from one grade. If each van will carry the greatest possible number of students, how many vans will be needed?

Answers

Answer:

7 Vans will be needed

Step-by-step explanation:

Which of the following irrational expressions are located between 6 and 8 on the number line? Select three that apply.​

Answers

Answer:

A) √7 + 4

B)2√15

D)√23+√8

Step-by-step explanation:

The options are:

A) √7 + 4

B)2√15

C)8-√5

D)√23+√8

E)√80-3

Analysing A.

√7+4 = 2.64575131106459 + 4

√7 + 4 = 6.64575131106459

Analysing B

2√15 = 2 * 3.87298334620741

2√15 = 7.74596669241483

Analysing C

8-√5 = 8 - 2.23606797749978

8 - √5 = 5.76393202250021

Analysing D

√23+√8 = 4.79583152331271 + 2.82842712474619

√23+√8 = 7.62425864805890

Analysing E

√80-3 = 8.94427190999915 - 3

√80-3 = 5.94427190999915

After the above analysis;

Options A, B and D answer the question

Answer: 7+4

5/15

/80-5

Step-by-step explanation:

Just solve for 50 points and brainliest!

10+10-7=

6-10+15=

Answers

Answer:

13

11

Step-by-step explanation:

Can somebody helpp ??

Answers

I believe the location of H is -4. may i please receive brainliest

2. Martin has $100 to buy a new MP3 player and music. The MP3 player costs $85 and each song download
costs $1.50. How many songs can Martin afford?
a. 85+1.50d 5 100
b. 85d +1.50 < 100
C. 85+1.50d < 100
d. 1.50d + 100 < 85

Answers

i believe the answer would be A:)

In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the free throw line for three foul shots. Dalistan’s free throw percentage is 84.6.

Answers

Complete Question

Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.

1. Watch the video of Dalistan preparing to take his first shot. Before he shoots, what is the probability that Philippines will win the game? Lose the game? Send it into overtime? Dalistan’s free throw percentage is 84.6%

Answer:

a

    The probability that Philippines will win the game is   [tex]P(A) =  0.6055 [/tex]

b

   The probability that Philippines will lose the game is [tex]P(B) =  0.00365[/tex]

c

  The probability that the game will be sent to overtime  is [tex]P(C) =  0.06 [/tex]

Step-by-step explanation:

From the question we are told that

    The  probability of  Paul Dalistan making a shot is  p  =  0.846

   The probability of  Paul Dalistan not making the shot is  [tex]q = 1- p = 1- 0.846=0.154[/tex]

     Paul Dalistan team was down by two points

This mean that for Paul Dalistan's  team to win the game he must make the 3 free throws

So the probability that Philippines will win the game is mathematically represented as

    [tex]P(A) =   p^3 [/tex]

=>  [tex]P(A) =  0.846^3[/tex]

=>  [tex]P(A) =  0.6055 [/tex]

Gnerally for Paul Dalistan's  team to loss the game it means that Paul Dalistan did not make any of the free shot

Hence the probability that Philippines will loss the game is  

     [tex]P(B) =  q^3[/tex]

=>  [tex]P(B) =  (0.154 )^3[/tex]

=>  [tex]P(B) =  0.00365[/tex]

Generally for the game to be sent to overtime  then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots

   Hence the probability that game will go to overtime is  

          [tex]P(C) =  3 *  0.846 *  0.154  *  0.154[/tex]

         [tex]P(C) =  0.06 [/tex]

Given h(x)=-x-4h(x)=−x−4, solve for xx when h(x)=9h(x)=9.

Answers

Answer:

[tex]x=-5[/tex]

Step-by-step explanation:

Given [tex]h(x)=-x-4[/tex], solve for x when [tex]h(x)=9h(x)=9[/tex].

First we need to figure out what number multiplied by 9 is equal to 9. This number is 1. [tex](1*9=9)[/tex]

Therefore, we know that h(x) should be equal to 1 in order for 9 times h(x) to equal 9.

Create an equation where h(x) = 1.

[tex]h(x)=1 \\ (-x-4)=1[/tex]

Solve this equation by adding 4 to both sides of the equation.

[tex]-x=5[/tex]

Divide both sides of the equation by -1 to isolate x.

[tex]x=-5[/tex]

Check your answer by substituting -5 for x back into the equation to make sure h(x) = 1.

[tex]-(-5) - 4 = 1[/tex]

If [tex]h(x)=1[/tex], then the statement  [tex]9h(x) =9[/tex] is true, verifying our answer for x is correct.

Which of the given values is the greatest

A) 0.325
B)0.42
C)1/8
D)2/5

Answers

Answer:

I think the answer is d) 2/5

Answer:

B

B is the answer

find the difference between the product of -9.5 and 6.4 and their sum​

Answers

Answer:

-60.8-(-3.1)= -57.7

Explain:

(-9.5)6.4 = -60.8

(-9.5) + 6.4 = -3.1

6x + 2 = 5x + 17, would there be one unique solution? What is it?

Answers

Answer:

X = 15

Step-by-step explanation:

1.- Rewrite the equation, Put like terms on the same side

6x - 5x = 2 - 17

Instead of adding subtract

2.- Divide 1 on both sides

1x = 15

You should only have X on the left side

3.- You should have

X = 15

(-7x + 6) - (-2x + 9x - 2)

Answers

Answer:

-14x+4

Step-by-step explanation:

So the first set of paranthese don't really matter so you can rewrite it to this

-7+6-(-2x+9x-2)

Then  infront of the ( there is a - which means a -1. Now just do the disbutive property.

-7x+6+2x-9x+2

Now add like terms and you get your finial answer!

-14x+4

Kai took five tests this semester. His scores are listed below.

92, 88, 90, 96, 84

What is the mean absolute deviation of Kai's test scores?

Answers

Answer:

90

Step-by-step explanation:

add them, then divide the answer by 5, because there are 5 numbers

5x²y + 35x²y + 50 xy

HELP ME FACTOR THIS PLEASE!!!

Answers

Answer:

10xy(4x+5)

Step-by-step explanation:

Hope that helped :)

The answer fam is.........10xy(4x+5)

Rewrite the simplest terms : 6(6r+8)-2r ?

Answers

Answer:

2 • (r + 1) • (r - 4)

Step-by-step explanation:

What is the minimum point of the graph of the equation y = 5x2 - 30x?

Answers

Answer:

10-30x=-20x,i hope i help u :)

BRAINLIEST!!! easy question

Answers

Answer:

x=10 degrees

Step-by-step explanation:

Becuase we know this is a 90 degree angle, we can just say that angle BAF+FAE=90 degrees.

Simplifying, we get

9x=90

or x=10

Answer:

18 degrees hope this helps

Step-by-step explanation:

please give me brainliest i need 4 more brainliests so plz be a good friend and help me plz.

Three scenarios are given in parts a through c below. For each​ scenario, determine the sampling method used by the managers. ​a) The managers select a single branch at random and survey every employee of that branch. A. The managers used a systematic sample. B. The managers used a multistage sample. C. The managers used a cluster sample. D. The managers used a stratified sample. E. The managers used a simple random sample. ​b) The managers use the company​ e-mail directory to contact every 3030th employee on the list. Choose the correct sampling method below. A. The managers used a cluster sample. B. The managers used a multistage sample. C. The managers used a stratified sample. D. The managers used a systematic sample. E. The managers used a simple random sample. ​c) The managers split the company into​ divisions, with each division containing employees that have similar jobs. Within each​ division, they select a SRS of employees to contact. Choose the correct sampling

Answers

Answer:

1. C. The managers used a cluster sample

2.  B)The managers used a systematic sample.

3. The managers used a stratified sample.

Step-by-step explanation:

1. In a cluster sampling method, the population would be divided into several small units called cluster by the researcher. Within these clusters we randomly pick one or more to observe.

2. In systematic sampling we select elements from an ordered sampling frame.

3. In stratified sampling, the population is divided into several stratas and the researcher then selects randomly to complete the sampling process

Factor 6x^2 - X - 2

Answers

(2x+1) x (3x-2)
Is the answer

Find m angle Y
(6x – 23)

(4х + 9)

m angle Y = ?
a
54
b
34
C
73
d
16

Answers

Answer:

m<y= 34

Step-by-step explanation...

6x-23=4x+9

2x=32

x=16

m<y+m<z=180

m<y=73+73=180

m<y=34

An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.

The sum of the three angles is equal to 180 degrees.

The value of angle m∠Y is 34°.

Option B is the correct answer.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Isosceles triangle:

Two sides are equal.

The angles opposite to the equal sides are also equal.

So,

From the figure we have,

6x - 23 = 4x + 9

Add 23 on both sides.

6x - 23 + 23 = 4x + 9 + 23

6x = 4x + 32

Subtract 4x on both sides.

6x - 4x = 4x + 32 - 4x

2x = 32

Divide both sides by 2.

x = 32/2

x = 16

The sum of the three angles of the Isosceles triangle given must be 180 degrees.

6x - 23 + 4x + 9 + m∠Y = 180

Put x = 16

6x16 - 23 + 4x16 + 9 + m∠Y = 180

96 - 23 + 64 + 9 + m∠Y = 180

146 + m∠Y = 180

Subtract 146 on both sides.

m∠Y = 180 - 146

m∠Y = 34

Thus,

The value of angle m∠Y is 34°.

Option B is the correct answer.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

A pair of jeans was 25% off the original price. The sale resulted in a $24 discount. What was the original cost of the jeans before the sale?

Answers

Answer:

The original cost of the jeans before the sale was 30$

Step-by-step explanation:

what are the common factors of 24 and 36
A. 1,3,4,9,18
B. 1,2,4,6,12
C. 1,2,3,4,1,2
D. 1,2,3,4,6,8,12

Answers

Answer:

b.

Step-by-step explanation:

For this u have to use HCF

Common factors are 1,2,2 and 3

If u multiply u will be able to get the answer.

Mark me the brainliest

simplifying radicals pt.6 please help ASAP and explain if possible

Answers

Answer:

[tex]6\sqrt{15}[/tex] or decimal form 23.23790007...

Step-by-step explanation:

Rewrite 540 as [tex]6^{2}[/tex] * 15

Factor 36 out of 540 .

[tex]\sqrt{36 (15)}[/tex]

Rewrite 36 as [tex]6^{2}[/tex].

[tex]\sqrt{6^2*15}[/tex]

Pull the terms out from under the radical.

[tex]6\sqrt{15}[/tex]

(-1,-1) and ( 4,5)

Finding the distance between the two points

Answers

Answer:

The distance between the two points is

Exact form:

41

Decimal form:

6.40312423.......

Have a wonderful day!!!

What is the midpoint between n(- 4, 4) and (- 2, 2)

Answers

(-3,3) is the midpoint between the two
Other Questions
What information is required for a complete citation of a website source?A: the title, volume number, and page numbersB: the responsible person or organization and the website URLC: the responsible person or organization, date accessed, and URLD: the responsible person or organization and the date accessed if someone can help me with these 2 questions fast will be marked as brainiest if correct is the answer indefinite, zero, or infinite? 3(x - 1) = 3x - 3 Which quote from Passage 2 provides evidence that many school districts are dealing with budgetary concerns?A)"Lewis-Palmer School District 38 made about $8,000 in its first effort last year with eight advertisers and 11 buses." (paragraph 22)B)That could be a lot of bang for the advertising buck, and a nice amount of change for district coffers. (paragraph 24)C)Like Lewis-Palmer, most districts that allow advertising on their buses choose to put the money in general funds to help with such things as higher fuel and utility expenses (paragraph 24)D)Some of the advertisements on Lewis-Palmer buses include dentists, restaurants, insurance agents, a gymnasium, PTAs and the district's own programs. (paragraph 26) The table shows the amount of money, A, in a savings account after m months. Select all the equations that represent the relationship between the amount of money, A, and the number of months, m. PLS PLS PLS HELP ITS DUE IN AN HOUR Which one is not a name of a fractured bone?O A. simpleO B. compoundO C. closedO D. openO E. swirl Taylor bought a necklace for each of her three sisters. She paid $7.50 for each necklace. Supposed she had $9 left. How much money did she have initially to spend on each sister? Question 1Manipulate the base area and the height of the pyramid, setting different values for each. Record the base dimensions, height, and the exactvolume for two kinds of pyramids: one with a square base and one with a rectangular base. Also calculate the decimal value of each volume, andverify that it matches the volume displayed by the tool. (You might see some discrepancies in the tool due to rounding of decimals.) A driver in a 500 kg car going 20 m/s sees a large box in the middle of the road 100 meters away. How much net force is required to get the car to stop without hitting the box?WILL GIVE BRAINLY AND 50 POINTS how do we maintain, protect and preserve health amidst the rising development of our community Are these ratios equivalent?16 shipments every 6 years8 shipments every 3 yearsyesno PLEASE HELP.!! ILL GIVE BRAINLIEST *EXTRA POINTS* DONT SKIP.!! :(( \Select all that apply.The four stages of a civilization are _____.beginningseniorbirthadulthoodadolescencegrowing pains HELP I NEED THIS RIGHT KNOW!!!!!!! Explain what m(4)=90 means in context. (1pts) The price of a train ticket is 155.00 What would it be if you had a 75% discount You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and two shirts for $84. Your friend buys two pairs of jeans, one pair of shorts, and three shirts for $76. Your cousin buys one pair of jeans, two pairs of shorts, and one shirt for $52. How much does each item cost? Which equation represents the graphed function?3x + 2 = yx + 2 = yx 3 = y2x 3 = y use institutional in a sentence A rectangle has a width of 7 inches height of 14 inches and a length of 12 inches find its volume