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

false

step-by-step explanation:

4y - 6 + 4y^2 - 9

before simplifying this contains 4 terms

after simplifying

4y -15 + 4y^2

it contains 3 terms

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".