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Archy [21]
3 years ago
5

Two companies working together can clear a parcel of land in 30 hours. Working alone, it would take company A 3 hours longer to

clear the land than it would Company B. How long would it take Company B to clear the parcel of land alone?
Mathematics
1 answer:
kramer3 years ago
8 0
12 hours. Because half of 30 is 15 and if company A is taking three hours longer, you take 3 hours of company “B” that would make a total of 12 hours because 15-3=12
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Answer:

The value of y = 62°

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saveliy_v [14]

Answer: Choice B

12.5 < x < 18.9

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Explanation:

We have a triangle with these side lengths:

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By the converse of the pythagorean theorem, we need b^2 < a^2+c^2 to be true in order for an acute triangle to happen.

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Now let's consider the possibility that the missing side x is actually the longest side.

Using the same theorem as before, we would say,

c^2 < a^2 + b^2\\\\c < \sqrt{a^2 + b^2}\\\\x < \sqrt{10^2 + 16^2}\\\\x < \sqrt{356}\\\\x < 18.8679622641132 \ \text{(approximate)}\\\\x < 18.9\\\\

We found that x > 12.5 and x < 18.9

This is the same as saying 12.5 < x and x < 18.9

Put together, they form the approximate answer of 12.5 < x < 18.9

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14

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