25² x 4² square root​

Answers

Answer 1

Answer:

25.317977802344

Step-by-step explanation:

25x25= 625

4x4= 16

625+16= 641

The square root of 641 is 25.317977802344

n this case we are going to use the 'Babylonian Method' to get the square root of any positive number.

We must set an error for the final result. Say, smaller than 0.01. In other words, we will try to find the square root value with at least 1 correct decimal place.

Step 1:

Divide the number (641) by 2 to get the first guess for the square root.

First guess = 641/2 = 320.5.

Step 2:

Divide 641 by the previous result. d = 641/320.5 = 2.

Average this value (d) with that of step 1: (2 + 320.5)/2 = 161.25 (new guess).

Error = new guess - previous value = 320.5 - 161.25 = 159.25.

159.25 > 0.01. As error > accuracy, we repeat this step again.

Step 3:

Divide 641 by the previous result. d = 641/161.25 = 3.9751937984.

Average this value (d) with that of step 2: (3.9751937984 + 161.25)/2 = 82.6125968992 (new guess).

Error = new guess - previous value = 161.25 - 82.6125968992 = 78.6374031008.

78.6374031008 > 0.01. As error > accuracy, we repeat this step again.

Step 4:

Divide 641 by the previous result. d = 641/82.6125968992 = 7.7591072555.

Average this value (d) with that of step 3: (7.7591072555 + 82.6125968992)/2 = 45.1858520774 (new guess).

Error = new guess - previous value = 82.6125968992 - 45.1858520774 = 37.4267448218.

37.4267448218 > 0.01. As error > accuracy, we repeat this step again.

Step 5:

Divide 641 by the previous result. d = 641/45.1858520774 = 14.1858562034.

Average this value (d) with that of step 4: (14.1858562034 + 45.1858520774)/2 = 29.6858541404 (new guess).

Error = new guess - previous value = 45.1858520774 - 29.6858541404 = 15.499997937.

15.499997937 > 0.01. As error > accuracy, we repeat this step again.

Step 6:

Divide 641 by the previous result. d = 641/29.6858541404 = 21.5927760397.

Average this value (d) with that of step 5: (21.5927760397 + 29.6858541404)/2 = 25.63931509 (new guess).

Error = new guess - previous value = 29.6858541404 - 25.63931509 = 4.0465390504.

4.0465390504 > 0.01. As error > accuracy, we repeat this step again.

Step 7:

Divide 641 by the previous result. d = 641/25.63931509 = 25.0006678318.

Average this value (d) with that of step 6: (25.0006678318 + 25.63931509)/2 = 25.3199914609 (new guess).

Error = new guess - previous value = 25.63931509 - 25.3199914609 = 0.3193236291.

0.3193236291 > 0.01. As error > accuracy, we repeat this step again.

Step 8:

Divide 641 by the previous result. d = 641/25.3199914609 = 25.3159643039.

Average this value (d) with that of step 7: (25.3159643039 + 25.3199914609)/2 = 25.3179778824 (new guess).

Error = new guess - previous value = 25.3199914609 - 25.3179778824 = 0.0020135785.

0.0020135785 <= 0.01. As error <= accuracy, we stop the iterations and use 25.3179778824 as the square root.

So, we can say that the square root of 641 is 25.31 with an error smaller than 0.01 (in fact the error is 0.0020135785). this means that the first 2 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math. sqrt(641)' is 25.317977802344327.


Related Questions

STEP By Step Explaination needed
NO sp.am
No Go.ogle
Solve it
[tex]\frac{5}{11} + \frac{3}{11} [/tex]

Answers

Answer:

8/11

Step-by-step explanation:

5+3=8

Answer:

[tex]\sf\huge\longmapsto \: \frac{8}{11} [/tex]

Step-by-step explanation:

[tex]\sf\huge\longmapsto \: \: \frac{5}{11} + \frac{3}{11} [/tex]

[tex]\sf\huge\longmapsto \: \frac{5 + 3}{11} [/tex]

[tex]\sf\huge\longmapsto \: \frac{8}{11} [/tex]

Suppose you have a 100 AED of coupons at Dubai Expo 2020. You spend 30 AED per game. Write an equation that models the total amount of money y you spent if you play x games.

Answers

The total amount of money y you spent if you play x games is expressed as y = 1/30x

Given the following

Total amount of AED of coupons at Dubai Expo 2020 = 100 AED

If you spend 30 AED per game, this can be expressed as:

30 AED = 1 game

100 AED = x game

Cross multiply

30 x = 100 * 1

30x = 100

x = 100/30

x = 10/3 games

This shows that 100 AED of coupons is used for 10/3 games

100 AED = 10/3 games

y AED = x games

Cross multiply

100 x = 10/3 y

100xy = 10/3

10 xy = 1/3

30xy = 1

y = 1/30x

Hence the total amount of money y you spent if you play x games is expressed as y = 1/30x

Learn more here: https://brainly.com/question/14107099

Select the reason that best supports statement 5 in the given proof.
A.Substitution
B. Multiplication
C. Addition property of equality
D.Transitive property

Answers

The reason that best supports statement 5 in the given proof is Substitution.

What is Number system?

A number system is defined as a system of writing to express numbers.

In the given question -

The first reason is given in the question itself.

The second reason is given by congruency.

The third reason is again given in the question.

The fourth reason is also given.

Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.

Therefore, the reason that best supports statement 5 in the given proof is Substitution.

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https://brainly.com/question/22046046

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The equation of a line is given below.
8x+2y=-2
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

8x + 2y = -2
2y = -8x - 2
y = -4x - 1

-4 is the slope, and -1 is the y-intercept is -1.

Which side in the figure on the right corresponds to segment QS?
What is the scale factor?


See the picture

Please help

Answers

Since it was rotated the corresponding side is segment UV.

QS = 4 = original
UV = 2 = new
Scale factor = new/original = 2/4 = 0.5

giải hộ toi bài tập nó khá khó

Answers

Answer:

hhhhhhhhhhhhhhhhhhhh

Help solve
−3'3(2 − 4 + 5)
2( − 3 + 4) − 3(2 − + 7)

Answers

Answer:177

Step-by-step explanation: -3'3(2+1) 2(1)-3(-5)

=-27(3) ×-2 +15

=-81×(-2)+15

=162+15

=177

What is the alibraic equation to 32 ÷ 1.60
i need help asap if u will i will give 100 points to do asap

Answers

Answer:

The answer is 20

Answer:

19⋅2(3 third power)/5 ​=30 5/2 ​=30.4

Step-by-step explanation:

Set-up an equation to model the problem, then solve that equation:
You bought a magazine for $5 and four erasers. you spent a total of $25. How much did the eraser cost?

Answers

Answer:

$5 + 4x = 25

Step-by-step explanation:

let x = eraser

4 × x = 4x

$5 + 4x = $25

The video advises you to "be a deadbeat". What does that mean?
Pay your credit card bill in full and on time every single month, thus paying no interest or fees.
Make the minimum payment on your credit card on time each month.
Never open a line of credit so the credit card companies do not make any money.

Answers

Answer:

Pay your credit card bill in full and on time every single month, thus paying no interest or fees.

Step-by-step explanation:

In terms of credit-cards, a deadbeat is someone who pays off their bill in full every month, on time. They usually try to avoid paying their debts.

Hence, pay your credit card bill in full and on time every single month, thus paying no interest or fees.

What is the payment?

Payment is the exchange of cash, products, or services for a good or service.

Payments are normally made once all parties have concurred on the conditions.

You won't be charged interest or late fees if you pay off your credit card balance in whole and on time each month.

When it comes to credit cards, a deadbeat is someone who consistently pays their balance in full and on time each month.

Deadbeat - one who often avoids paying their own bills or expenditures

Typically, they make an effort to not pay their bills.

Hence, whenever possible, pay off your credit card balance in whole and on schedule to avoid paying interest or other costs.

To know more about the payment;

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I need the answer for this

Answers

Answer:

it is either f or h

1
14. A student walks
mile from her home to the store on her way to a
1
friend's house. If the store is of the way to her friend's house, how
3
far is her friend's house from her home?

Answers

Answer:

4 miles

Step-by-step explanation:

the store is one mile, her friend is 3 miles from the store.

kia worked 30 hours and 15 minutes this weekend . if she makes $15.60 per hours ,how much did she make?

Answers

Answer:480.10

Step-by-step explanation:

Answer:

$471.9

Step-by-step explanation:

Take "30 hours and 15 minutes" into a number you can multiply. 15 minutes is a quarter of an hour, so our number is 30.25

Do 30.25 x 15.60 to get 471.9

Add a dollar sign, and there's your answer of $471.9!

Hope this helped.

Simplify

1/2 + 2/5

A) 1/10
B) 2/7
C) 3/7
D) 9/10

Answers

Answer:

D) 9/10

Step-by-step explanation:

Add up as fractions:

1/2 + 2/5 =               Common denominator is 2*5 = 105/10 + 4/10 = 9/10

Option D

1/2+2/5(5+4)/109/100.9

Option D

Select the situation that have a unit rate equivalent to 3 units to 1 unit

Answers

Answer:

A gardener harvested 15 tomatoes from 5 plants

Find the properties of the parabola with the equation (x - 1)^2 = (y - 1). Leave answers in fractional form.

Directrix

y = 5/4
x = 3/4
y = 3/4

Answers

Answer:

B

Step-by-step explanation:

I hope i helped and ur welcome

hi pls help me!!! thank you

Answers

Step-by-step explanation:

Circumference (C):

[tex]C = 2\pi r = 2\pi(5\:\text{ft}) = 31.4\:\text{ft}[/tex]

Area (A):

[tex]A = \pi r^2 = \pi(5\:\text{ft})^2 = 78.5\:\text{ft}^2[/tex]

please help me with this sum​

Answers

Hello there!

4,968:8=621

3,960:6=660

2,728:4=682

1,584:2=792

2,527:7=361

2,586:3=862

4,205:5=841

8,550:9=950

2,200:4=550

1,923:3=641

Hope this helps you!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

what's the answer for this? CLASS 6 MATHS I NEED HELP ASAP!!!​

Answers

Answer:

20:

3 5/12 or 41/12

21:

-9 5/8 or -77/8

Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 103 seconds? (5 points)

Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad:
1.435 ⋅ 10−3 mm or 1.435 ⋅ 103 mm? Justify your answer. (5 points)

Answers

9514 1404 393

Answer:

  A) 1.3×10^37 ergs

  B) 1.435×10^3 mm

Step-by-step explanation:

A) The quantity is found by multiplying the rate by the time:

  (3.9×10^33 ergs/s)×(3.25×10^3 s) = 1.2675×10^37 ergs ≈ 1.3×10^37 ergs

The least-precise contributor to the calculation has 2 significant digits, so we need to round the result to 2 significant digits.

__

B) A fine human hair is more than 40×10^-3 mm in diameter, so the distance 1.435×10^-3 mm is completely unreasonable for railroad track spacing. The space between rails is closer to 1.4 meters. So 1.435×10^3 mm is a better measurement.

Pls help I’ll brainlest

Answers

The cat is not hungry, or doesn't like the can of tuna food, which is why they refused to eat it when it was given to them.

Try to give the cat the food again and see their reaction, if that fails, try to give the cat other foods and note the reaction to determine if the cat just doesn't like the tuna in a can or just wasn't hungry at the moment.

Are 3and 9 divisible by 27,621

Answers

Answer:

yes

Step-by-step explanation:

please please help with question 18

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

[tex]y = \dfrac{3}{5} x + 2[/tex]

Explanation :

As per given in the question, both the lines are parallel so they have equal slopes. that is slope of required line is :

[tex] \dfrac{3}{5} [/tex]

now, let's use slope and the coordinates of the given points to find the equation of line in point - slope form :

[tex]y - y1 = m(x - x1)[/tex]

[tex](y - ( - 1)) = \dfrac{3}{5} (x - ( - 5))[/tex]

[tex]y + 1 = \dfrac{3}{5} (x + 5)[/tex]

[tex]5(y + 1) = 3(x + 5)[/tex]

[tex]5y + 5 = 3x + 15[/tex]

[tex]5y = 3x + 15 - 5[/tex]

[tex]5y = 3x + 10[/tex]

[tex]y = \dfrac{3x + 10}{5} [/tex]

[tex]y = \dfrac{3}{5} x + 2[/tex]

therefore , the correct choice is A

How would I be able to simplify 12/3? Please explain step by step

Answers

Answer:

4/1

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 12 and 3 is 3.

12 ÷ 33 ÷ 3.

Reduced fraction: 41. Therefore, 12/3 simplified to lowest terms is 4/1.

Answer:

i think you divide 12/3 and you get the answer of 4

Step-by-step explanation:



La longitud "L" de una recta tangente dibujada desde un punto "A" a una circunferencia es 4/3 del radio "r". La distancia (mínima) de A a la circunferencia es de:

r

r/2

2r/3

4r / 3

Answers

Answer:

i......dont........know.... :)

Step-by-step explanation:

yup

) Chứng minh rằng giá trị của biểu thức ((x-2√x)÷(√x-2) ) - ((x-4)÷√x+2)) không phụ thuộc vào giá trị của biến.

Answers

...........chúc bạn thành công ✊

what is the first digit in the quotient of 1,898 divided by 9

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

The first digit of the quotient is 0. This is because the first digit of the dividend (1) is less than the divisor (9).

See the attached image for the complete long division.

__

The first non-zero quotient digit is 2 = 18/9.

PLZ HELP IM TIMEDDDDDDDDDDDDD Which values of a, b, and c correctly complete the division?
1/4 divided by 5/6=1/a x b/c

Answers

Answer is:

a=4, b=6 c=5

Đề bài sau dùng cho 3 câu từ câu 1 đến 3
Doanh thu (triệu đồng) 830 900 950 1.020 1.200
Số cửa hàng 15 25 30 20 10
1. Doanh thu bình quân của các cửa hàng là:
a. 980,0 b. 958,5 c. 950,0 d. 980,6
2. Trung vị về doanh thu là:
a. 900 b. 950 c. 958 d. 925
3. Mốt về doanh thu là:
a. 900 b. 950 c. 1.020 d.

Answers

Answer:

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

should be 40

1.6[3(5(2))-5]

1.6[30-5]

1.6[25]

40

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