Answer: the third one
Step-by-step explanation:
So basically, he wants to make mixture where lemon=lime
it is 6 gallons so
40% of 6=0.4 times 60=2.4=lemon
60% of 6=0.6 times 60=3.6=lime
so to make them equal
3.6-2.4=1.2
he must add 1.2 gallons of 100% lemon juice to make a mixture of 50% lemon and 50% lime
1.2 gallons is the answer
The correct answers are:1) sin(x) =
2) tan(x) =
Explanation:Given:

Step 1:
Since, according to the Trigonometric identity:

-- (1)
Step 2:
Plug in the value of cos(x) in equation (1):

Step 3:
Take square-root on both sides:

sin(x) =

Now to find the tan(x), we would use the following formula:
tan(x) =

--- (2)
Plug in the values of sin(x) and cos(x) in equation (2):
tan(x) =

Hence tan(x) =
Probability Trees - See linked image
A good visual method for this is a probability tree.
Each set of branches represents the probabilities of on coin being removed, the second set is out of 9 as the first coin is taken and not replaced.
Multiply along the lines to work out the probability of each of the combinations.
*Even though only 'Dime Dime' is needed, it is best to do all of them as this way you are able to get all marks in an exam; you can also add up all the final values as a check to see if you are right.
Please read the attached file