● The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distance travelled by their tips in 2 days.

Class - 10th


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Step by step explanation please ​

Answers

Answer 1

Step-by-step explanation:

short hand radius = 4

distance travellled in 1 day revolution = 2πr= 2 x 22/7 x 4= 25.1cm (approx)

distance travellled in 2 day revolution= 25.1+ 25.1 = 50.2

long hand radius= 6

each hour 1 revolution by long hand so in 24 hr 24 revolutions and 48 he 48 revolution

distance travelled in 1 hr = 2πr= 2 x 22/7 x 6= 37.7

distance in 48hr = 37.7 x 48= 1809.6 (approx)

so sum of both= 1809.6 + 50.2 = 1859.8

Answer 2

Answer:

1910.12 cm

Step-by-step explanation:

2 days = 48 hrs = 2880 mins

One cycle of the short hand (4 cm) would be 12 hrs.

48/12 = 4 cycles

Circumference of a circle =  [tex]2\pi r[/tex]

r = 4 cm

2*pi*4 ≈ 25.13 cm (I only rounded to the hundredth, adjust as u need)

25.13 * 4 = 100.52 cm

One cycle of the long hand (6 cm) would be 60 mins (which is 1hr and two days would be 48hrs or 48 cycles. But let's keep this consistent).

2880/60 = 48 cycles

Circumference of a circle =  [tex]2\pi r[/tex]

r = 6 cm

2*pi*6 ≈ 37.70 cm (I only rounded to the hundredth, adjust as u need)

37.70 * 48 = 1809.6

100.52 + 1809.6 = 1910.12 cm

^^ I'm not a junior I'm a senior so lol


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Answers

Answer:

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Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

1.40 + 0.05d = 1.95

1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

d = 11

Step Three:

n = 28 - d

n = 28 - 11

n = 17

======

Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

17 + 11 = 28

28 = 28

0.05n + 0.10d = 1.95

(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Answers

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Answers

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__

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__

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Answer:

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Answers

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Answer:

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Answers

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380 cubic inches

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Answers

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Answers

Answer:

1/4

Step-by-step explanation:

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