Mathematics College

please help me
a piece of wire is 28cm in length is cut into two parts, each part bend to make a square. given that area of square is 416m^2. find the perimeter of each square.

Answers

Answer 1

Answer:

25.488 cm and 2.512 cm

Step-by-step explanation:

Note: the area of squares is 41 cm² but not 416 m², typo

Let the sides of squares be x and y

Based on given we have equations:

4x + 4y = 28x² + y² = 41

Simplify the first equation

4x + 4y = 28x + y = 7x = 7 - y

Substitute x to solve for y:

(7 - y)² + y² = 4149 - 14y + y² + y² = 412y² - 14y + 49 - 41 = 02y² - 14y + 8 = 0y² -7y + 4 =0

Solving we get:

y= 6.372 cm or y= 0.628cm

Then

x = 0.628 cm or x = 6.372 cm

Perimeter of each square is:

4*6.372 = 25.488 cm

and

4*0.628 = 2.512 cm

Related Questions

If m is a multiple of 20 then m is also a multiple of 10 true or false​

Answers

True .... I think?? Cuz if m=40 (cuz 40 is a multiple of 20) and 40 is also a multiple of 10

this is due in a few hours can yall help me

Answers

Answer:

18%, 34%, 9/25, 0.25

Step-by-step explanation:

36% = 18%

17/50 = 34%

0.18 = 9/25

1/4 = 0.25

kevin has a ratio of 2 wrong answers to 7 correct answers on his math test. If he got 6 questions ewrong then how many did he answr correctly

Answers

Answer:

21 questions

Step-by-step explanation:

Given

[tex]Wrong : Right = 2:7[/tex]

Required

Determine the number of correct answers if he answered 6 wrongly

The required ratio can be represented as:

[tex]Wrong : Right = 6 : X[/tex]

Where X represents number of right answers for 6 wrong answers.

Next, we equate both ratios:

[tex]6:X = 2:7[/tex]

Convert to fraction

[tex]\frac{6}{X} = \frac{2}{7}[/tex]

Cross Multiply

[tex]X * 2 = 6 * 7[/tex]

[tex]2X = 42[/tex]

Divide through by 2

[tex]X = 21[/tex]

Hence, he answered 21 correctly

A reading teacher brought sets of different numbers of books for her class. She paid the same price for each book

Complete the table to show the number of books she bought or the price she paid
(Put your answers in the Order of a,b,c)

Answers

Answer:

A) $15

B) 8

C) $25

Step-by-step explanation:

Find the maximum value of the function
f(x) = –22 – 15.9x – 57 to the nearest hundredth.

Answers

8 fishi i ndrysheses se nje numrime 7

If 7x-3x+17-x+1=108, what is the value of 4x+x?

Answers

Answer:

150

Step-by-step explanation:

1. combine like terms

7x-3x-1x=3x

17+1=18

2. subtract

108-18=90

3. divide

90/3=30

which means x=30

4. plug it in

4X30+30=150

What is 1/4(8+x+4) simplified using the distributive property

Answers

Answer:

1/4x+3

Step-by-step explanation:

1/4(8+x+4)

1/4 *8 + 1/4*x+1/4*4

2+1/4x+ 1

1/4x+3

Hope this helps you!

Happy holidays!

Have a merry christmas and new year!

Answer:

2+1/4x+1

3+1/4x

Step-by-step explanation:

There you go final answe is

3+1/4x

Which translation moves point Z so that the whole image is only in quadrant 1 and 2
Captionless Image

Answers

Answer:

I can’t see the picture!

Step-by-step explanation:

I need help with this I’ll mark you

Answers

Answer:

The answer is C

which equation is equivalent to y= Ax + By = C

Answers

Answer:

slope intercept form

Step-by-step explanation:

that's what ax + by = c is

xoxo, your highness...

3. Find the annual salary for Kathy if she is paid $2.100 every other week.
Annual Salary = Biweekly Salary * 26

Answers

Annual salary = $2,100 x 26
= $54,600

you had $20 at the beginning of the week you worked 10 hours during the week having $70 how much do you earn each hour

Answers

Answer:

You need more deatils, did you work 24 hours per day or 9 hours. my question is how many hours a day did you work?

Help I need the answer as soon as possible

Answers

Answer:

D.

Step-by-step explanation:

First, you multiply 18 1/4 with 10 1/2 and you get 191 5/8. Then you multiply 191 5/8 with 12 3/4 and you get D. 2443 7/32

What is 2,356 divided by 27​

Answers

Answer:336.57

Step-by-step explanation:

Answer:

87.259.

Step-by-step explanation:

4j + 4 =
Next, subtract 4 from both sides.
4j

Answers

Answer:

4j=-4

j=-1

Step-by-step explanation:

Answer:

4j=-4  j=-1

Step-by-step explanation:

13.
WRITE Math Write a word problem that involves two fractions.
Include the solution.
Please help fast

Answers

Answer: If you have 2/3 cup of water and 3/5 cup of oil, how huch liquid do you have in total?

1 and4/15

Step-by-step explanation:

i need help with this asap! i will give brainliest!!

Answers

Answer:

97

Step-by-step explanation:

Angle on a straight line = 180

106 + ∠st = 180

∠st = 180 - 106 = 74

x = ∠st + 23

= 74 + 23

= 97

Answer:

51 degrees

Step-by-step explanation:

This is a scalene triangle. Which means it sums up to 180 degrees. Therefore, you have to add up all the degrees to 180. 106+23 is 129, and 180 - 129 is 51.

At a bakery every 4th coustmer recives a free cookie snd every 10th customer recives a free drink. Which customer will be the first to recive a free cookie and a free drink

Answers

Answer:

40th costumer

Step-by-step explanation:

The 40th costumer will receive a free cookie and drink. You need to find factors of 4 and factors of 10. Then when you find 4 and 10 have the same factor that’s your answer. So you do 4,8,16,24,32,36,40,44,48, etc. (counting up by 4) now do it to 10,20,30,40,50,60,70, etc. (counting up by 10) Now you notice that the first number that is the same is 40. So that means the 40th costumer will be the first one to receive a free drink and cookie.

Customer first to receive a free cookie and a free drink is 20th number customer

Given that;

Number of customer received free cookie = 4th

Number of customer received free drink = 10th

Find:

Customer first to receive a free cookie and a free drink

Computation:

Customer first to receive a free cookie and a free drink = LCM of 4 and 10

Customer first to receive a free cookie and a free drink = 20th number customer

Learn more:

https://brainly.com/question/1879445?referrer=searchResults

HELP ASAP what's the reason for statement 3, WILL GIVE BRAINLIEST​

Answers

Answer:

From prove

Step-by-step explanation:

from prove

Explanation

Two angles are called complementary when their measures add to 90 degrees

Can someone solve this for me please?
1/3h = -2/3

Answers

Answer:

h = -2

Step-by-step explanation:

Just plug it into a calculator

Answer:

h=-2

Step-by-step explanation:

1/3h = -2/3

To find the h divide both sides by 1/3.

1/3h÷1/3 = -2/3÷1/3

h=-2

Helpppppppppppppppppp

Answers

Answer:

ik that problem gimmie a sec

Step-by-step explanation:

Step-by-step explanation:

since 1 and 2 are same the lines which create 1(g and p) and 2(h and r)

the lines g h and p r shoul be parallel. we also know that g h is parallel which proves that p and r should be parallel as well

help me pleaseeeeeeeee

Answers

C. None of the x-values repeat.

Answer:

C is because it doesn't have any repeating x-values or y-values

Step-by-step explanation:

Rick’s scores in his last 15 rounds of golf are 72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, and 72. If he scores an 80 on each of the next three rounds, which measure of center would increase more, the mean or median?

Answers

Answer:

The median increased more

Step-by-step explanation:

Given that:

Scores on last 15 :

72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72

Obtaining the range, mean, median and mode from the data above :

Rearranged data:

68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 81, 83, 84

Range = 84 - 64 = 16

Mode = 72 - frequency of 3)

Mean = ΣX / n where n = sample size

Mean = 1140 / 15 = 76

Median = 0.5(n+1)th term = 0.5(16)th term =

8th term = 75

A score of 80 on each of next 3 rounds :

72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72, 80, 80, 80

Rearranged data:

68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 80, 80, 80, 81, 83, 84

Range = 84 - 68 = 16

Mean = ΣX / n where n = sample size

Mean = 1380 / 18 = 76.67

Median =0.5(n+1)th term = 0.5(19)th term =

9.5 = (9th term +. 10th term) / 2 = (77 +78) / 2 = 77.5

please answerrrrr!!! im soo confused!!!

Answers

Answer:

97%

Step-by-step explanation:

If you get 100% on a test, you got all the answers correct.

It doesn't matter how many questions there are. If you got all of them correct, you get 100%.

What if you have 100 questions on a test?

If you got 85 questions correct, on a 100 question test, your grade would be 85%.

If you got 35 questions correct, on a 100 question test, your grade would be 35%.

If you got 98 questions correct, on a 100 question test, your grade would be 98%.

If you count 100 trees, and 97 of them were evergreen, the percentage of trees that are evergreen would be 97%.

The day after a protest held by an employee's union, 32 out of 40 employees did not show up for work at the shoe factory, Which represents the percent of the employees who did show up for work the day after the protest?​

Answers

Answer:

Step-by-step explanation:

32 out of 40 did not show

8 out of 40 did show

When you ask "What is 8 out of 40?" you want to know what percent 8 is out of 40.

Here are step-by-step instructions showing you how we calculated 8 out of 40 as a percentage:

The first step is to divide 8 by 40 to get the answer in decimal form:

8 / 40 = 0.2000

Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:

0.2000 * 100 = 20.00%

Answer:

20 %

Step-by-step explanation:

Round to the nearest whole number and cluster to give an estimate for 15.23 + 12.8 + 4.93 + 7.21.

Answers

Answer:

the answer is 40

Step-by-step explanation:

15.23+12.8+4.93+7.21=40.17 then you round 40.17 to 40

Answer:

40

Step-by-step explanation:

15.23 + 12.8 + 4.93 + 7.21

27.31 + 12.34

39.65

round the number to a whole number

40

What is the equation of the line that passes through the point (2,0) and has a slope of 5/2

Answers

Answer :

y = 5/2x - 5

Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5/2 , thus
y = 5/2x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = 5 + c ⇒ c = 0 - 5
y = 5/2x - 5 ← equation of line

There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up?

Explain your answer using complete sentences.

Answers

Answer:

2 rows of 41

Step-by-step explanation:

....... i think

I have the same question, and I have nothing in my brain....-_-''

Fine the values of x and y. Please explain .

Answers

.hhdjekekeke kekelekwkwkwkww

A chemist has 100 ml of 25% acid solution. how much of the solution does she need to drain and replace with 70% acid solution to obtain 100 ml of 60% acid solution?

Answers

Answer:

The proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.

Step-by-step explanation:

Since the chemist has 100 ml of solution with 25% acid, and wants to obtain a solution of 60% acid by mixing the first with another 70% acid solution, to determine how much of each solution the chemical should use necessary to perform the following calculation:

70 x 1 + 25 x 0 = 70

70 x 0.9 + 25 x 0.1 = 65.5

70 x 0.8 + 25 x 0.2 = 61

70 x 0.7 + 25 x 0.3 = 56.5

Therefore, the proportion to be used is between 70% and 80% of acid at 70%, and 20% to 30% of acid at 25%.

70 x 0.75 + 25 x 0.25 = 58.75

70 x 0.76 + 25 x 0.24 = 59.2

70 x 0.77 + 25 x 0.23 = 59.65

70 x 0.78 + 25 x 0.22 = 60.1

Thus, the proportion should be between 77 and 78% of acid at 70% and 22 and 23% of acid at 25%.

70 x 0.778 + 25 x 0.222 = 60.01

Thus, finally, the proportion of acid at 70% that the chemist must use will be 77.8%, while the remaining 22.2% will be acid at 25%.

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