Samin can run 5 kilometres in 30 minutes. Assuming she keeps a constant pace, how many kilometres can she run in 45 minutes?
1 answer:
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<u>Answer:</u>
The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.
<u>Solution:</u>
Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.
Hence, by above definition, we get
------- eqn 1
From question, for a chain with 65 paper clips has a length of 97.5 inches, we get
Similarly, for a chain with 14 paper clips with length to be found, we get
Now by using eqn 1, we can calculate the length of 14 paper clips is,
Rearranging the terms we get,
Hence the length of chain with 14 paper clips is 21 inches.
y is . This is because in a 30-60-90 triangle, the side facing the 30° is always half of the side facing the 90°
x is always √3 times y, so x=24. Therefore, the answer is the second answer choice.