Answer:
=6√3 the third option.
Step-by-step explanation:
We can use the Pythagoras theorem to find the value of y. We need two equations that include y.
a²+b²=c²
c=9+3=12
x²+y²=12²
x²=144 - y².........i (This is the first equation)
We can also express it in another way but let us find the perpendicular dropped to c.
perpendicular²= x²-3²=x²-9 according to the Pythagoras theorem.
y²=(x²-9)+9²
y²=x²+72
x²=y²-72....ii( this is the second equation
Let us equate the two.
y²-72=144-y²
2y²=144+72
2y²=216
y²=108
y=√108
In Surd form √108=√(36×3)=6√3
y=6√3
Answer:
B
Step-by-step explanation:
Use SOHCAHTOA.
sinθ = 
Opposite side length= 12
Hypotenuse length = 37
Find the adjacent side length (b) using the Pythagorean theorem.

b = 35
tanθ =
= 12/35
Choice B is the correct answer.
Answer:
D. 6√3.
Step-by-step explanation:
x^2 = 108
x = +/- √108
x = +/- √36 * √3
x = +/- 6√3
Answer:
b
Step-by-step explanation:
lucky guess