Find c to the nearest 10th. (laws of sines)

Option D

Step-by-step explanation:

By applying cosine rule in the given triangle,

a² = b² + c² - 2b.c.cos(m∠A)

By substituting values in the formula,

9² = 10² + c² - 2(10)(c)cos(15)°

81 = 100 + c² - 19.32c

c² - 19.31c + 19 = 0

By quadratic formula,

c =

  =

  = 1.08, 18.27

  ≈ 1.1, 18.3

Therefore, Option D will be the answer.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11