For this problem, we are going to use the <em>law of sines</em>, which states:

In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side,
. Then, we can find the third side. Using the law of sines, we can find:

We can use this to solve for
:


Now, we can find
:

Using this, we can find
:


c is approximately 17.5.
Answer:
4 jumps
Step-by-step explanation:
5 points per jump and 20 points in total.
20/5 = 4
Answer:
B) 60
Step-by-step explanation:
They both equal each other,
5x+15=7x-3
And solve!
15+3=7x-5x
18=2x
X=9
Plug X into the angels.
5(9)+15
45+15
60
Answer:

Step-by-step explanation:
Given

Required
Probability of selecting 2 toys of different types
From the question, we understand that all toys are different i.e. 1 of each type.
And the selection is without replacement;
So, after the first toy is selected; there are n - 1 toys left.
So, the probability is:

Substitute 




Answer:
A.The expression represents the price paid
B.
; everything means the same thing as the first.
Step-by-step explanation:
For a. we can tell what the expression means by re-reading the problem. We know that the 15 is the price per goby fish and that 10 is the price per shrimp. Since there is an equal number of each in each bag the x represent the number of goby fish or shrimp in the bag. The answer to the equation will be the price paid. Another expression you could use is the following.

This is an unfactored version of the first on where x is factored out. Here everything means the same thing it's just a different expression.