The law of cosines is used to find the value of m. m2 = 272 + 182 2(27)(18)cos( m2 = 729 + 324 (972)cos( m2 = 1053 (972)cos( to the nearest whole number, the value of m is .

the law of cosines establishes:

  c² = a² + b² - 2 ab cos C 

in this problem

a=27

b=18

C=28°

c=m

m² = 27² + 18² - 2*(27)*(18)* cos(28°) 

m² = 729 + 324 - 972* cos(28°) 

m² = 1053 - 972* 0.8829

m² = 194.82> m=13.96> 14

the answer is m=14 units

6.5

step-by-step explanation:

you said it was in the question

~courtney

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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