A rope is wound round s drum of diameter 21cm is attached to a bucket that is resting at the bottom of a well in depth 9.89 m. Find the number of turns required to bring up the bucket such that the bottom of the bucket is suspended just above the mouth of the well

Answers

Answer 1

Answer:

15

Step-by-step explanation:

Depth of well = No. of turns × length of one turn

Given:   Depth of well = 9.89m = 989cm          [1m = 100cm]

Let number of turns be x

Length of one turn = 2πr or π×diameter

Now , 989=x×π×21

989=x×(22/7)×21

x=989×7/(22×21)

x=14.98 ≈15 turns    

[Number of turn never be in decimals]

Hence number of  15 complete turns of the handle required to bring up the bucket


Related Questions

what the slope of (15,9) (-10,3) ​​

Answers

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[tex]slope = \frac{3 - 9}{ - 10 - 15} \\ [/tex]

[tex]slope = \frac{ - 6}{ - 25} \\ [/tex]

[tex]slope = \frac{6}{25} \\ [/tex]

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Answer:

The slope is [tex]\frac{6}{25}[/tex] or [tex]0.24[/tex].

Step-by-step explanation:

This is the formula to calculate the slope from two given points: [tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex] . Now, substitute (x1, y1) and (x2, y2) for (15,9) and (-10,3). [tex]slope=\frac{3-9}{-10-15}[/tex] . That equation becomes [tex]slope=\frac{-6}{-25}[/tex] . You have to change [tex]\frac{-6}{-25}[/tex] to [tex]\frac{6}{25}[/tex] . The slope is 6/25 or in decimal form, 0.24.

1/sin2A+cos4A=cotA-cosec4A​

Answers

2sin/2cos would be the correct answer for that question.
I’m not sure

Help pleaseeeeeeeeeeewe

Answers

Answer:

Step-by-step explanation:

10x +5=100

-5 -5

10x=95

10 = 10

X=9.5

So x is less than 10

Answer:

Step-by-step explanation:

Because of the plus 5. You know for a fact that 10 times 10 is 100 but you need something less than 10 for the equation to be true since you're adding onto the answer to get 100

PLZ ANSWER ASAP ONLY IF YOU ARE CORRECT!!!

Answers

Answer:

r=-35

Step-by-step explanation:

As an estimation we are told 5 miles is 8 km.
Convert 24 km to miles.

Answers

Answer:

15

Step-by-step explanation:

24*5=120 / 8 = 15

15 is answer.

simplefy the equation

Answers

Answer:

i wish i could simply life.

Step-by-step explanation:

The polygons below are similar. Find the scale factor of the SMALLER figure to the LARGER.

A. 5:6

B. 3:5

C. 5:8

D. 2:5

Answers

Answer:

A. 5:6

Step-by-step explanation:

The scale factor of the smaller figure to the larger = the ratio of a side of the smaller figure to the corresponding side of the larger figure.

Thus, side length of 25 units of the smaller figure corresponds to the side length of 30 units.

Therefore:

Scale factor = 25:30

Simplify

Scale factor of the smaller figure to the larger = 5:6

Ashley simplified the following expression with the given steps 2(x+4)-(2x-8) 2x+4-2x-8 2x-2x+4-8 0-4 -4 Explain to her what her error was and how to correct it

Answers

First step, her distributive property was wrong. 2(x + 4) should be 2x + 8.
Since she made a mistake on the first step, all her equation messed up.
2x + 8 - 2x - 8
The correct answer would be 0

The square of a number is 12 less than 7 times the number. What is the number? –4 or –3 –4 or 3 –3 or 4 3 or 4

Answers

Answer:

Answer: D (3 or 4)

Step-by-step explanation:

A gardener measures the heights of 2 plants at the end of every week. The function y=3x+8.5 of plant A in centimeters at the end of x weeks. The function y=2.5x+14.5 gives the height of plant B in centimeters at the end of x weeks.

Answers

Answer: Plant A and plant B will be the same height at the end of week 12.

Step-by-step explanation: You don't care about this

what is2/3 divided by 4/5

Answers

The answer to this question is 5/6

Step-by-step explanation:

2 /4

3. 5

doing reciprocal

2× 5

3. 4

= 8×15

12

= 120

12

=10 ans

hope it help u..

what is 5 1/6 - 7 1/3

Answers

Answer:

-13/6 or -2 and 1/6 or -2.16

Step-by-step explanation:

The solution of expression in mixed fraction form is,

⇒ 2 1/6

We have to simplify the expression,

⇒ 5 1/6 - 7 1/3

Firstly we can change it into improper fraction,

⇒ 5 1/6 - 7 1/3

⇒ 31/6 - 22/3

Make denominator same by taking LCM of 6 and 3 which is 6,

⇒ 31/6 - 44/6

⇒ (31 - 44) / 6

⇒ 13/6

⇒ 2 1/6

Therefore, The solution of expression in mixed fraction form is,

⇒ 2 1/6

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What is the estimated product?

86 × 32

Answers

Answer:

2,752

Step-by-step explanation:

86x32 = 2752

Product: It means to multiply.

Answer:

I believe the estimated product is 2749

How many 9 digit numbers have their first and last digits even?

Answers

There are 900000000 nine-digits numbers and exactly half of them have an even sum of digits (because every number can be paired with another of the opposite parity by changing the last digit).

Answer:  200,000,000.

we have 9 spaces we need to fill in

There are 10 total numbers(0–9)

There are 5 even numbers(0,2,4,6,8)

fill from left to right

u cannot start with 0 so pick another number 2,4,6,8 any of those

4*10^7*5= 20*10^7 = 2*10^8

200,000,000.

32x+8+5=113 2x+8 +5=11 simplify in radical form

Answers

Answer:

The answer is in the picture below

Step-by-step explanation:

Which exponential function is represented by the graph?
O f(x) = 2( 1/2 )x
O f(x) = 1/2(2)x
O f(x) = 1/2(1/2)x
Of(x) = 2(2)x
PLEASE HELP MEE!

Answers

Answer:

f(x) = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex]

Step-by-step explanation:

Using the standard form of the exponential function

y = a [tex]b^{x}[/tex]

To find a and b , substitute ordered pairs from the graph

Using (0, 0.5 ), then

0.5 = a[tex]b^{0}[/tex] [

a = 0.5 , so

y = [tex]\frac{1}{2}[/tex] [tex]b^{x}[/tex]

Using (1, 1) , then

1 = [tex]\frac{1}{2}[/tex][tex]b^{1}[/tex] , thus

b = 2

f(x) = [tex]\frac{1}{2}[/tex][tex](2)^{x}[/tex] ← exponential function representing graph

Given the statement "If there is a lightning storm, then we won’t go swimming,” which is the contrapositive?

If there is not a lightning storm, then we will go swimming.
If there is not a lightning storm, then we won’t go swimming.
If we go swimming, then there will not be a lightning storm.
If we don’t go swimming, then there will be a lightning storm.

Answers

conditional statement = if p, then q
contrapositive = if ~q, then ~p

therefore, the answer is

if we go swimming, then there won’t be a lightning storm

<3

This question is easy, but the person who answers this gets 100 points! Be fast!

What is (4 x 4) x ((5^2) x 1)

A. 500
B. 400
C. 50
D. 40

Answers

Answer:

B. 400

Step-by-step explanation:

4×4 =16

5^2 = 25

25×1= 25

16×25= 400

can someone please help.. will mark brainliest !

Answers

19. Is D
Because it’s cost 12 to join then she has to pay a monthly fee of 20 dollars. So it will be 12+20x because you don’t know how many months they’ll be going. Then 4 to join 22 for monthly same thing as the first one so 4+22x giving you 20x+12=22x+4

20. D
The key word was each, you don’t know how many times a week they’ll be buying so the the X substitutes that in.
(Hope that makes sense)

If tan x = m, what is sin x in terms of m?​

Answers

Answer: m/sqrt(m^2)+1

Step-by-step explanation: if tan x = m, then the opposite angle is m and the adjacent angle is 1 so 1 squared plus m squared equals c squared. c = sqrt (1 + m^2)

sin x = opposite/hypotenuse = m/sqrt(m^2)+1

The value of sin x in terms of m is [tex]\frac{m}{\sqrt {m^2+1}}[/tex]

Trigonometry are identities used to express the sides and angles of a triangle.

According to SOH CAH TOA,

Tan θ = Opposite/Adjacent

Given that tan x = m

Opposite  = m

Adjacent = 1

Get the hypotenuse using the pythagoras theorem

Hyp² = Opp² + Adj²

Hyp² = m²+1²

Hyp² = m²+1

Take the square root of both sides

√Hyp² =√m²+1

Hypotenuse = √m²+1

Next is to get sin x:

Sin x = Opposite/Hypotenuse

Sin x = [tex]\frac{m}{\sqrt {m^2+1}}[/tex]

Hence the value of sin x in terms of m is

[tex]\frac{m}{\sqrt {m^2+1}}[/tex]

Learn more on trigonometry ratio here: https://brainly.com/question/13729598

6. $15 lunch: 20% tip

Answers

a 20% tip would be $3

Solve this equation.

23x−15x=x−1

Answers

Answer:

x = -1/7

Step-by-step explanation:

25x - 15x = x - 1

combine like terms

7x = -1

divide

x = -1/7

Answer:

x = -1/7 (the whole fraction is negative)

Step-by-step explanation:

23x−15x=x−1

8x = x - 1

8x - x = x - 1 - x

7x = -1

x = -1/7

5. Using commutativity and associativity of addition of rational numbers, express each<br />of the following as a rational number. <br />1. 2/5 +7/3+-4/5 +-1/3<br />2. 3/7+-4/9+-11 /7 +7/9<br />3. 2/5+8/3+-11 /15+4/5+-2/3<br />4. 4/7+0+-8/9-13/7+17/21<br /><br /><br /><br />So important please tell me fast. ​

Answers

Answer:

[tex] \LARGE{ \underline{\underline{ \pink{ \bf{The \: AnsWer:}}}}}[/tex]

Composition and Structure of the Oceans. Planet Earth has been called the "Blue Planet" due to the abundant water on its surface. Here on Earth, we take liquid water for granted; after all, our bodies are mostly made of water.

Solve the equation y = ax − b for the variable x.

Answers

Answer:

x = y/a + b/a

? is that what you meant

Step-by-step explanation:

Answer:

the answer is d) x = y/a+ b/a

Step-by-step explanation:

brainliest pleasee

pls help whoever gives me the most correct answer I'll mark brainliest
Question 7 (Worth 1 points)
(04.03 MC)

The price of oranges at a farm is $1.16 per pound. Which equation can be used to determine c, the total price of n pounds of oranges?

c equals 1.16 over n

c = 1.16n

c = 1.16 + n

c = 1.16 − n

Points earned on this question: 0

Question 8 (Worth 1 points)
(04.03 MC)

The graph below shows the price of different numbers of towels at a store:

A graph is shown. The values on the x-axis are 0, 2, 4, 6, 8, 10. The values on the y-axis are 0, 17, 34, 51, 68, and 85. Points are shown on ordered pairs 0, 0 and 2, 17 and 4, 34 and 6, 51 and 8, 68. These points are connected by a line. The label on the x-axis is Number of Towels. The title on the y-axis is Price in dollars.

Which equation can be used to determine p, the cost of t towels?

p = 8.50 + t

t = 8.50 + p

t = 8.50p

p = 8.50t

Points earned on this question: 0

Question 9 (Worth 1 points)
(04.04 MC)

If a sprinkler waters 1 over 8 of a lawn in 1 over 2 hour, how much time will it take to water the entire lawn?

2 hours

4 hours

10 hours

16 hours

Points earned on this question: 1

Question 10 (Worth 1 points)
(04.04 MC)

If 2 over 3 ton of gravel covers 3 over 4 of a driveway, how many tons of gravel are required to cover the entire driveway?

1 over 3 ton

1 over 2 ton

8 over 9 ton

11 over 12 ton

Points earned on this question: 1

Question 11 (Worth 1 points)
(04.05 MC)

David measured the height of a window frame as 5.61 feet, but the actual height was 6 feet. What is the percentage of error in David's measurement?

0.39%

0.94%

6.50%

6.39%

Points earned on this question: 0

Question 12 (Worth 1 points)
(04.05 MC)

The regular price of a coat is $40.25. During a sale, the coat was marked 24% off. What was the price of the coat during the sale?

$30.59

$37.85

$40.01

$40.49

Points earned on this question: 0

Answers

Answer:

c= 1.16n

Step-by-step explanation:

j

PLEASE HELP ME ??!!!!!

Answers

Answer:

um i am pretty sure it is c

Step-by-step explanation:

There are 13 boxes with 5 pencils in each box. How many pencils in all? (PLZ HELP)​

Answers

Answer:

65 pencils in all

Step-by-step explanation:

13 times 5 is 65, so 65 pencils in all.

Divide:

285 divided by 45

Which is true about this division problem? Select all that apply.
45 goes into 285 evenly.
45 does not go into 285 evenly.
The quotient contains a repeating decimal.
The quotient contains a terminating decimal.
The quotient is 6.ModifyingAbove 3 with bar.
The quotient is 6.3.

Answers

Answer:

Step-by-step explanation:

The true statements are:

45 does not go into 285 evenly.

The quotient is 6 with a remainder of 15.

Here,

To divide 285 by 45, we perform the division:

  6

-------

45 | 285

  - 270

  -------

     15

The quotient is 6 with a remainder of 15.

Now, let's analyze the statements:

45 goes into 285 evenly. - False.

45 does not divide 285 evenly since there is a remainder of 15.

45 does not go into 285 evenly. - True.

As explained above, 45 does not divide 285 evenly, and there is a remainder of 15.

The quotient contains a repeating decimal. - False.

There is no repeating decimal in the quotient since the division is a whole number (6).

The quotient contains a terminating decimal. - False.

As mentioned earlier, there are no decimals involved in the quotient; it's a whole number.

The quotient is 6 with a bar above 3. - False.

The quotient is 6 with a remainder of 15, not 6.3.

In summary, the true statements are:

45 does not go into 285 evenly.

The quotient is 6 with a remainder of 15.

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With more than 33 species, more species of bats live in Texas than anywhere else in the United States. If Texas contains fewer than 3% of the species of bats in the world, how many species of bats are there worldwide?

Answers

ckgcujcfyfxgxhfccvcchf

Which angles are corresponding angles?

Answers

try A

Step-by-step explanation:

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{ \angle \: UTQ \: and \: \angle \: RQO}}}}[/tex]

Step-by-step explanation:

✎ The easiest way to think of a corresponding angles is ' F - pattern ' . In our case , [tex] \angle[/tex] UTQ and ∠ RQO are corresponding angles as they makes F - Shape .

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

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