Option B: 4.0 cm is the value of w
Explanation:
It is given that
,
,
and 
Using the law of sines, we have,

Substituting the values, we have,

Cross multiplying, we get,

Simplifying, we have,

Dividing both sides by 0.515, we have,

Thus, the value of w is 4.0 cm
Hence, Option B is the correct answer.
Answer:
x = - 3 ± √27 or if you want it in decimal form correct to nearest hundredth:
x = -8.20, 2.20.
Step-by-step explanation:
x^2 + 6x - 18 = 0
this will not factor so we use completing the square:
x^2 + 6x = (x + 3)^2 - 9 so:
(x + 3)^2 - 9 - 18 = 0
(x + 3)^2 = 27
x+ 3 = ±√27
x = - 3 ± √27
Answer: 
Step-by-step explanation:
For this exercise you need to remember the following Trigonometric Identity:

You must observe the figure given in the exercise.
You can notice that the given triangle UVW is a Right triangle (because it has an angle that measures 90 degrees).
So, you can identify in the figure that:

Knowing these values, you can substitute them into
:

Now you must evaluate:

Finally, rounding to the nearest hundreth, you get:
