flwerlix
flwerlix flwerlix
  • 12-08-2020
  • Mathematics
contestada

Find M
A. 17
B. 16
C. 18
D. 20

Find M A 17 B 16 C 18 D 20 class=

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marcthemathtutor
marcthemathtutor marcthemathtutor
  • 12-08-2020

Answer:

A. 17

Step-by-step explanation:

using the cosine rule (also see attached for reference):

AB² = BC² + AC² - 2·AC·BC cos C

2·AC·BC cos C = BC² + AC² - AB²

Given that AC = 18, AB = 12 and BC = 18, substituting these into the formula

2(18)(28) cos C = 28² + 18² - 12²

1008 cos C = 964

cos C = 964/1008

cos C = 0.9563

C = cos⁻¹ 0.9563

C = 16.99 ( = 17° rounded to nearest degree)

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