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Step2247 [10]
2 years ago
13

What is the length of the unknown leg in the right triangle…?

Mathematics
1 answer:
alexira [117]2 years ago
8 0

As we know,

In a triangle, the sum of lengths of two side is greater than the third side.

20 + 25 > b

b + 20 > 25

25 + b > 20

Answer = 15m

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Answer:  \bold{(1)\ \dfrac{19,683}{64}\qquad (2)\ 16}

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(1)           (12, 18, 27, ...)

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a_n=a_o(r)^{n-1}\\\\Given:a_o=12,\  r=\dfrac{3}{2}\\\\\\Equation:\\a_n =12\bigg(\dfrac{3}{2}\bigg)^{n-1}\\\\\\\\9th\ term:\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{9-1}\\\\\\a_9=12\bigg(\dfrac{3}{2}\bigg)^{8}\\\\\\.\quad =\large\boxed{\dfrac{19643}{64}}

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3 years ago
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