The cage will drop 18.84m for each single rotation of the drum.
It is given that the diameter of the mine winch, d= 6 m.
We can calculate that how far the cage will drop for each single rotation of the drum by using the formula of the circumference.
Circumference, c = 2πr
where,
r = d/2 (radius of the mine winch)
r = 6/2
⇒ r = 3m
Circumference, c = 2πr
⇒ c = 2π×(3)
⇒ c = 6π
⇒ c = 18.84m
Hence, the cage will drop 18.84m for each single rotation of the drum.
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Answer:
Size of groups known: First and last questions (The rice and cups ones)
Number of groups known: Second and third questions (Cars and hats)
Step-by-step explanation:
In the first problem, you know that one sack is one group, and it tells you that each sack weighs 3 kg. Therefore, you know the size of the group (or a sack).
In the last one, you know that a table is one group and each table fits 4 cups. So, you know that the size of the group is 4 cups.
In the second and third questions, you know that each group is a row (cars) or "equal group" (hat) and that there are 4 of each. So, you know that there are 4 of each group, meaning you know the "number of groups"
Answer:
<h2><em>
Smaller Integer = 30</em></h2><h2><em>
Larger integer = 37</em></h2>
Step-by-step explanation:
<h2><u>
Conditions:</u></h2>
- <em>There are </em><em>two integers</em><em> whose value are to bee found out.</em>
- <em>Sum</em><em> of those two integers</em><em> is 63.</em>
- <em>The </em><em>larger integer</em><em> is 23 </em><em>less</em><em> than</em><em> twice the smaller</em><em> one.</em>
<h2><u>
To Find:</u></h2>
- <em>The </em><em>two integers</em><em> in the given condition.</em>
<h2><u>
Solution:</u></h2>
Let,
The smaller integer be <em>x</em>
<em>So,</em> larger integer will be = <em>2x - 23</em>
Given,
The sum of<em> </em>these two integers is = <em>67</em>
∴ According to the condition,
=> x + 2x - 23 = 67
- <em>(Taking the like terms on each sides)</em>
=> x + 2x = 23 + 67
- <em>(Adding the like terms)</em>
=> 3x = 90
- <em>(Dividing each side with 3)</em>
=> x = 30
Then,
The smaller integer is = x = <em>30</em>
and, Larger integer is = 2x - 23 = <em>37</em>
<u>Hence,</u>
<u>The required smaller and larger integers are 30 and 37 respectively (Ans)</u>
