Does anyone know how to do this? MATH ANSWERS ONLY

Mathematics

1 answer:

Gnoma [55]3 years ago

3 0

Answer:

34.2 ; 105.8 ; 12.0

Step-by-step explanation:

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$

c² = a² + b² - 2abcosC

~~~~~~~~~~~~

sinB = $\frac{bsinA}{a}$

sinB = 7sin40° ÷ 8 ≈ 0.562439

m∠B ≈ 34.2°

m∠C = 180° - ( 40° + 34.2° ) = 105.8°

c² = 8² + 7² - 2(8)(7)cos106° ≈ 143.87

c ≈ 12.0 units

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Step-by-step explanation:

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