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Komok [63]
2 years ago
6

225 729 25 144 응 16 81

Mathematics
1 answer:
k0ka [10]2 years ago
4 0

Answer: 5/16

Step-by-step explanation:

For this question, note that:

\sqrt{16}=4\\ \\ \sqrt{25}=5 \\\\\sqrt{81}=9\\\\\sqrt{144}=12\\\\\sqrt{225}=15\\\\\sqrt{729}=27

This means we can rewrite the given expression as:

\left(\frac{15}{27}-\frac{5}{12} \right) \div \frac{4}{9}\\\\=\left(\frac{5}{9}-\frac{5}{12} \right) \div \frac{4}{9}\\\\=\left(\frac{(5)(12)-(5)(9)}{(9)(12)} \right) \div \frac{4}{9}\\\\=\frac{15}{108} \div \frac{4}{9}\\\\=\frac{5}{36} \div \frac{4}{9}\\\\=\frac{5}{36} \times \frac{9}{4}\\\\=\frac{45}{144}\\\\=\boxed{\frac{5}{16}}

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Step-by-step explanation:

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We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...

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