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sweet-ann [11.9K]
3 years ago
6

Find c. Round to the nearest tenth.

Mathematics
1 answer:
bija089 [108]3 years ago
7 0

Answer:

Step-by-step explanation:

A = 150°

B = 12°

C = 180 - (150 + 12) = 18°

b = 10 cm

Apply the sine rule:

\frac{b}{sin(B)} = \frac{c}{sin(C)}

Plug in the values

\frac{10}{sin(12)} = \frac{c}{sin(18)}

Multiply both sides by sin(18)

\frac{10}{sin(12)}*sin(18) = \frac{c}{sin(18)}*sin(18)

\frac{10*sin(18)}{sin(12)} = c

c = 14.9 cm (nearest tenth)

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