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Find c. Round to the nearest tenth.

Find C Round To The Nearest Tenth class=

Sagot :

akposevictor

Answer:

Step-by-step explanation:

A = 150°

B = 12°

C = 180 - (150 + 12) = 18°

b = 10 cm

Apply the sine rule:

[tex] \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]

Plug in the values

[tex] \frac{10}{sin(12)} = \frac{c}{sin(18)} [/tex]

Multiply both sides by sin(18)

[tex] \frac{10}{sin(12)}*sin(18) = \frac{c}{sin(18)}*sin(18) [/tex]

[tex] \frac{10*sin(18)}{sin(12)} = c [/tex]

c = 14.9 cm (nearest tenth)

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