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mihalych1998 [28]
2 years ago
10

Find the number of distinct triangles with the measurements a = 8, b = 14, and A = 30°.​

Mathematics
1 answer:
Maslowich2 years ago
5 0

Answer: 2

Step-by-step explanation:

By the law of sines,

\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \frac{\sin B}{14}=\frac{\sin 30^{\circ}}{8} \\ \\ \frac{\sin B}{14}=\frac{1}{16} \\ \\ \sin B=\frac{14}{16} \\ \\ B=\sin^{-1} \left(\frac{14}{16} \right), 180^{\circ}-\sin^{-1} \left(\frac{14}{16} \right) \\ \\ B \approx 61.04^{\circ}, 118.96^{\circ}

Since either of these values for B will form a triangle (as A+B will be less than 180 degrees), 2 triangles can be formed with these measurements.

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Solve (1/81)^x*1/243=(1/9)^−3−1 by rewriting each side with a common base.
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Answer:

x=(243)log_{\frac{1}{81}}[(\frac{1}{81})-1]

Step-by-step explanation:

you have the following formula:

(\frac{1}{81})^{\frac{x}{243}}=(\frac{1}{9})^{-3}-1

To solve this equation you use the following properties:

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3 years ago
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DaniilM [7]

Answer:

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Answer:

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6 0
3 years ago
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