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

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]

Factor 6x^2 - X - 2

Answers

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

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)

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

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

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

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

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:

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:

(-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

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

Answers

(-3,3) is the midpoint between the two

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

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

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

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 :)

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

(-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!!!

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 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:

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]

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 :))

Just solve for 50 points and brainliest!

10+10-7=

6-10+15=

Answers

Answer:

13

11

Step-by-step explanation:

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:

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

Can somebody helpp ??

Answers

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

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)

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:)

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.

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