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HELP!!
Find x. Round to the nearest tenth.

HELP Find X Round To The Nearest Tenth class=

Sagot :

Answer:

31.9°

Step-by-step explanation:

Applying the Law of Sines,

  • A = 75°
  • a = 22 cm
  • B = x°
  • b = 12 cm

⇒ sin75° / 22 = sin x° / 12

⇒ sin (45 + 30)° / 22 = sin x° / 12

⇒ (1/√2)(√3/2) + (1/√2)(1/2) / 22 = sin x° / 12

⇒ (1/√2)(√3 + 1 / 2) / 22 = sin x° / 12

⇒ 12 × (2.73/2.82) / 22 = sin x°

⇒ x = sin⁻¹ (0.529)

⇒ x = 31.9° (nearest tenth)

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