Answer:
When proving identities, the answer is in the explanation.
Step-by-step explanation:
I have two terms in this denominator here.
I also know that 
by Pythagorean Identity.
So I don't know how comfortable you are with multiplying this denominator's conjugate on top and bottom here but that is exactly what I would do here. There will be other problems will you have to do this.
Big note here: When multiplying conjugates all you have to do is multiply fist and last. You do not need to do the whole foil. That is when you are multiplying something like 
, the result is just 
.
Let's do that here with our problem in the denominator.
In that last step, I apply the Pythagorean Identity I mentioned way above.
Now You have a factor of cos(y) on top and bottom, so you can cancel them out. What we are really saying is that cos(y)/cos(y)=1.
This is the desired result.
We are done.
Answer:
C is dependent variable
S is independent variable
Step-by-step explanation:
Here, give the equation, we are told to identify the independent and the dependent variable
When we talk of the independent variable, it is that variable which values does not depend on whatever values the second variable in the equation has. It is that variable that is used to find the other variable in the equation
While the dependent variable depends on the values we input in the equation. It is the variable that we arrive at after plugging different values for the independent variable
now looking at the question, the equation we have is as follows;
c = 0.09s
To get the value of c which is the cost , we have to input different values of a. As is the amount in sales that we have that will yield the value of the commission to be received
Thus, we can categorically say that the values of the commission are dependent on the values we get from the sales
Hence, while commission represents the dependent variable, the values of the sales are the independent variables
Answer:
shoulda woulda coulda been B
Step-by-step explanation:
Answer: 0.23
Step-by-step explanation:
Given : F is the event "works in the finishing department;"
and A is the event "is absent excessively."
Given : 10% of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.
i.e. P(A)= 0.20 ; P(F)=0.10 ; P(A ∩ F) = 0.07
We know that 
Then,
Hence, the required answer is 
