From the law of sines, we have
where 
is the leg we're interested in, 
is the hypothenuse, 
is the angle opposite to , and 
is the angle between and .
So, in the first case, we can use
And in the second excercise, we use
your answer's correct.
Step-by-step explanation:
Goldfish: 4*0.50=2 so $2.00
Goldfish: 7*0.70=4.90
4.90.2.00=$6.90
Since all of the bases (x) are equal you just add the exponents.
(The x has an exponent of 1)
3 + -4 + 1
-1 + 1
0
Since the answer is 0 it is x^0
And any number or variable set to the power of 0 equals 1, therefore...
ANSWER: x^3 • x^-4 • x = 1
Hope this helps!
You are trying to find an x-value for which f(x) = g(x). At first your choice of x is arbitrary. In the given table, the first x-value tried was 0 (zero). For this value of x, f(x) does NOT equal g(x).
Next x was 1. f(x) and g(x) are even further apart here. So reject 1 and try 2 instead. Notice how f(x) and g(x) are closer together now than they were for x=1.
Note that for x=2.5, f(x) and g(x) are even closer together; ony 0.75 separates them.
Your turn. Try x=2.4, x=2.3, and so on. You may have to go in the other direction: Try x=2.6, x=2.7, and so on. If f(x) and g(x) are getting closer to one another, you're going in the right direction; if further apart, you're going in the wrong direction.
Have fun. This really is an interesting problem.
