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2 years ago

Please solve this i really need this

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

4 0

Answer:

a = 8 (to nearest whole number)

Step-by-step explanation:

Given:

m<B = 36°

m<C = 104°

c = 12

Required:

SOLUTION:

✔️First find m<A:

m<A = 180 - (104 + 36)

m<A = 40°

✔️Find a using Sine Rule:

Thus:

$\frac{a}{sin(A)} = \frac{c}{sin(C)}$

Plug in the values

$\frac{a}{sin(40)} = \frac{12}{sin(104)}$

Multiply both sides by sin(40)

$\frac{a}{sin(40)} * sin(40) = \frac{12}{sin(104)} * sin(40)$

$a = \frac{12*sin(40)}{sin(104)}$

$a = 8$ (nearest whole number)

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