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lorasvet [3.4K]
3 years ago
15

I need help with 21 and 22. please.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0

21. A

22. G                                

I Am writing this part because it said that the answer didnt have enough characters so just ignore this

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Evaluate a + 6 for a = 10
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Find the number of distinct triangles with the measurements a = 8, b = 14, and A = 30°.​
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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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3 years ago
2+262+77+8+9+9+8+6+5+5+4+5+56+6+6+6+8+8+65+6+6+8+8​
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