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Marta_Voda [28]
2 years ago
8

N/5=13/7 what is n equal to then round to the nearest tenth

Mathematics
1 answer:
koban [17]2 years ago
5 0
If you cross multiply the two fractions, you get 65/7, which is 9.3 rounded to the nearest tenth.
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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
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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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Let's assume that b = 16 is the largest side of this triangle.

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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b^2 < a^2 + c^2\\\\c^2 > b^2 - a^2\\\\c > \sqrt{b^2-a^2}\\\\x > \sqrt{16^2-10^2}\\\\x > \sqrt{156}\\\\x > 12.4899959967968 \ \text{(approximate)}\\\\x > 12.5

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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