Question

The law of cosines is used to find the value of m. To the nearest whole number, what is the value of m?

Answer 1

14 on edge

Explanation:

Answer 2

`m=14\ units`

Explanation:

The complete question is

The law of cosines is used to find the value of m. m2 = 272 + 182 ??? 2(27)(18)cos(28??) m2 = 729 + 324 ??? (972)cos(28??) m2 = 1053 ??? (972)cos(28??) To the nearest whole number, the value of m is

we know that

the law of cosines establishes:

`c^2=a^2+b^2-2(ab)cos(C)`

in this problem

we have

`a=27\ units\\b=18\ units\\C=28\°\\c=m`

`m^2=27^2+18^2-2(27)(18)cos(28\°)\\m^2=729+324- (972)cos(28\°)\\m^2=1053- (972)0.8829\\m^2=194.82\\m=13.9\ units\\m=14\ units`

therefore

`m=14\ units`