Can someone help me on this Law of Cosines Review worksheet?

see below

Step-by-step explanation:

the law of sines states that for unknown side value c, known side values a and b and known angle C where angle C is opposite side c,

I won't solve all the problems since practice will help you solidify this skill, but I'll give the solutions to 2 problems as a template for you

1) finding AB

AB = c

c² = 20²+32²-2(20)(32)cos(54)

c = √[20²+32²-2(20)(32)cos(54)] = 25.9

2) finding AB

AB = c

c  = √[42²+ 35²-2(42)(35)cos(69)] = 44.0

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

idk lol

step-by-step explanation: