Sin (30°) =

AB = sin (30°) x 96 = 48cm
Answer:
x=4
Step-by-step explanation:
1. 2x+4=12
2. 2x+4-4=12-4
3. 2x=8
4. 2x/2=8/2
5. x=4
Answer:
Step-by-step explanation:
Answer:
5.59 times per second.
Step-by-step explanation:
Direct variation is in the form:

Where <em>k</em> is the constant of variation.
Inverse variation is in the form:

In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using <em>f</em> for frequency and <em>l</em> for length:

We can solve for the constant of variation. We know that the frequency <em>f</em> is 4.3 when the length is 0.65 meters long. Thus:

Solve for <em>k: </em>
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So, our equation becomes:

Then when the length is 0.5 meters, the frequency will be:
