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Does anyone know how to some 4,5,6?
4 months ago
Q:
does anyone know how to some 4,5,6?
Accepted Solution
A:
Use the Law of CosinesNOTE: Please check my numbers. The numbers were blurry in the picture.Answer: 4) b = 29.8 5) a = 24.3 6) C = 53.1° Step-by-step explanation:4)b² = a² + c² - 2ac · cos B = (20)² + (25)² - 2(20)(25) · cos 82° = 400 + 625 - 1000 (0.139) = 888√b² = √888 b ≈ 29.85)a² = b² + c² - 2bc · cos A = (18)² + (28)² - 2(18)(28) · cos 59° = 324 + 784 - 1008 (0.515) = 590.49√a² = √590.49 a ≈ 24.36)c² = a² + b² - 2ab · cos C15² = (15)² + (18)² - 2(15)(18) · cos C225 = 225 + 324 - 540 cos C[tex]\dfrac{-324}{-540} = \text{cos C}\\\\\\\dfrac{3}{5}=\text{cos C}\\\\\\cos^{-1}\bigg(\dfrac{3}{5}\bigg)=C[/tex] 53.1 ≈ C