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

Help plsssss!!!!!!!!!!!!!

Answers

Answer:

The second option

Step-by-step explanation:

Bobby and his brother had 3/4 of a pizza leftover after dinner. Their father came home and are 1/2 of the leftover pizza .how much pizza did their father eat

Answers

Answer:

3/8 of the pizza

Step-by-step explanation:

3/4*reciprocal of 2

3/4*1/2

3/8

3/8

3/4÷1/2= 0.375

0.375= 3/8

Three out of five students in Mrs. Bishop's class play chess. What percentage of students in her class play
chess?

Answers

Answer:

60%

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Which of these ordered pairs is a solution of 3x−y=12? Choose all that apply.

Answers

Answer:

(0,-12)

Step-by-step explanation:

so you can get a app to graph it or graph it your self but that is the answer

what temperature is 12%C hotter than 16%C

Answers

The temperature that 12%C is hotter than 16%C is 4%C

Given: -4x + 2y = 8
Prove: y = 4 + 2x​

Answers

Answer:

Step-by-step explanation:

-4x+2y=8

2y=8+4x

y=[tex]\frac{8+4x}{2}[/tex]

y=[tex]\frac{2(4+2x)}{2}[/tex]

y=4+2x  

proved

5x + 8 - 7x = -4x + 1
Choose 1 answer:
А
No solutions
Exactly one solution
Infinitely many solutions

Answers

Step-by-step explanation:

5x+8-7x=4x+1

5x+7x-4x=8+1

8x=9

Which correctly applies the distributive property to show an equivalent expression to (–2.1)(3.4)? (2)(3) – (0.1)(0.4) (–2)(3) + (–0.1)(0.4) (2.1)(3) – (2.1)(0.4) (–2.1)(3) + (–2.1)(0.4)

Answers

Answer:

d i hope

Step-by-step explanation:

good

Answer:

I think it is c

Step-by-step explanation:

hope this helps

GIVING BRAINLIEST!!!!

How many solutions exist for the given equation?

1/2(x+12)=4x-1 (1/2 is one half)


zero

one

two

infinitely many

Answers

Answer:

Two

Step-by-step explanation:

there is TWO sulotions!!!

How do you solve this absolute value equation ?

|x + 7| = 3x - 5

Answers

Hope this helps :) X=6

Answer:

x=6

Step-by-step explanation:

x+7=3x-5

add 5 to both sides

x+12=3x

subtract x from both sides

12=2x

divide by 2 on both sides

6=x

WILL GIVE BRAINLIST

Samuel drove 28 miles in 32 minutes. Beverly drove 42 miles in 48 minutes.

Are the ratios of miles to minutes for Samuel and Beverly proportional?

Drag and drop to correctly complete the statement.

Answers

= Ratio of minutes to miles in which Samuel drove = 28 : 32

= Ratio of minutes to miles in which Beverly drove = 42 : 48

To find whether the time they drove and the distance they covered were proportional or not , let us first change them into a fraction and then simplify them .

= 28 : 32 = 28/32

= 28/32

Both the numerator and the denominator is divisible by 4 .

= 28 ÷ 4 / 32 ÷ 4

= 7/8 = 7 : 8

Samuel = 7 : 8

Beverly = 42 : 48 = 42/48

= 42/48

Both the numerator and the denominator is divisible by 6 .

= 42 ÷ 6 / 48 ÷ 6

= 7/8

Therefore, the ratio of miles to minutes drove by Samuel and Beverly is proportional , 7:8 :: 7:8

Answer:

7:8 7:8

Step-by-step explanation:

if you subtract 28 from 42 and subtract 32 from 48 then you get 14-16. then double it and you get 28-32 then add 14-16 to those again and you get 42-48. because they add up and are equal, take 14-16 and simplify it to 7:8.

help pleaseeeeee thanks .


is-2 a solution of the inequality -2x+5__> 9 ?

Answers

Answer:

Yes

Step-by-step explanation:

-2 plugged into x would give you 4 then 4 + 5 is 9

Which numbers are rational?
-8 , 6 , 0 , 19/8 , 4.35 , 7/4

Answers

Answer:

-8, 6, 0, 19/8, 4.35, 7/4 all of them

Step-by-step explanation:

hope this helps! :)

PICTURE PROVIDED JUST TELL ME IF IT IS A FUNCTION AND WHY

Answers

Answer:

This is a function because the Y values do not repeat.

Determine the zeros or roots of each function or equation. You can use the quadratic equation if you need to.

f(x)=-8x^2+2x+1

Answers

-1/4, 1/2

step by step explanation:

b)simplify the expression
7x2 + 4x – 2 + 8x2 – 9x – 5

Answers

Answer:

=25x-7

Step-by-step explanation:

Which of the following expressions is modeled on the number line?

Answers

Answer:

2 x 3

Step-by-step explanation:

Since it starts at and goes right twice in intervals of 3, you can conlude that the answer would be 2 x 3 because it corresponds with the previous numbers stated.

(x/x+1) - (2x+1)? how do i do this people?

Answers

Answer:

x=1

Step-by-step explanation:

#6: At the end of March, a computer company has a net worth of
-$18,684. By the end of December of the same year, the company's net
worth had increased by $34,712. What was the company's net worth at
the end of December? *
$16,028
$-16,028
$53,396
-$53,396

Answers

Answer:

$16,028

Step-by-step explanation:

take $34,712 and add -$ 18,684

Ms. Morgan bought 3.5 pounds of bananas at $0.54 a pound. If she paid with a $10 bill, how much change will she receive? just the bananas just curious cause im dumb as heck

Answers

Answer:

$8.11

Step-by-step explanation:

Answer:8.16$

Step-by-step explanation:

sum of two integers is -30 if one of them is 15 find the other integer pls urgent will mark u the brainliast​

Answers

-45
Because you do 15-45 which is -30

Answer:

-45

Step-by-step explanation:

Sum of two integers = -30

one of them = 15

let another number be 'x'

x + 15 = -30

x = -30 - 15

x = -45

so the other number is -45

4) Find the LCM of 20 and 9​

Answers

180 is the least common multiple.

Answer:

least common multiple is 180

Suppose that a recent poll found that 50 ​% of adults in a certain country believe that the overall state of moral values is poor. If a survey of a random sample of 15 adults in this country is conducted in which they are asked to disclose their feelings on the overall state of moral​ values, complete parts​ (a) through​ (e) below.

Answers

Answer: 3.75

Step-by-step explanation:

P=0.50, n=15

np= 0.5x15 gives 7.5

n(1-p)= 15x(1-0.5)=7.5

Both are greater than 5

Then Mean, u=np;15x0.5=7.5

Standard deviation, √np(1-p)

15x0.5(0.5)= 3.75

A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep it out , and then pull out another one .

What is the probability of getting a yellow rock and then a n orange rock ?

Answers

Answer:

[tex]Probability = \frac{7}{253}[/tex]

Step-by-step explanation:

Given

[tex]Orange = 7[/tex]

[tex]Green = 6[/tex]

[tex]White = 1[/tex]

[tex]Black = 7[/tex]

[tex]Yellow = 2[/tex]

Required

Probability of selecting a yellow then orange rock

From the question, we understand that the probability is that of without replacement.

Since the yellow, is first picked.

We need to determine the probability of picking a yellow rock, first.

[tex]P(Yellow) = \frac{n(Yellow)}{Total}[/tex]

[tex]P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}[/tex]

[tex]P(Yellow) = \frac{2}{23}[/tex]

The rock has reduced by 1;

Next is to determine the probability of picking an orange rock

[tex]P(Orange) = \frac{n(Orange)}{Total - 1}[/tex]

[tex]P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}[/tex]

[tex]P(Orange) = \frac{7}{22}[/tex]

The required probability is calculated as thus:

[tex]Probability = P(Yellow) * P(Orange)[/tex]

[tex]Probability = \frac{2}{23} * \frac{7}{22}[/tex]

[tex]Probability = \frac{14}{506}[/tex]

[tex]Probability = \frac{7}{253}[/tex]

Pls I really need help

Answers

Answer:

Greater

Step-by-step explanation:

Greater
Because if you do 86,500 minus 26,375 then you get 60, 125 which is greater than 60,000

Please answer this (:

Answers

Answer:

= -1 1/6

Step-by-step explanation:

Hope this helps (:

Look at the attachment

what is the total area of the three triangle ?​

Answers

Answer b. 13 square units

A quadrilateral has vertices at (2,5) (4,8) (5,3) (7,6) is this quadrilateral a rectangle

Answers

Answer:

No

Step-by-step explanation:

It is a parallelogram as the sides do not form any 90° angle when you connect the points.

Which represents the solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)?


Answers

Answer:

The answer is x > -2.5 or (-2.5,infinity)

Step-by-step explanation:

Answerr plsss. whooop whoop

Answers

The answer is 75 (:
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