4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle. 
does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3. So our numerator is 1/2 and our denominator is sqrt(3)/2.
And remember tangent is just sin/cos. So what degree has sinx as 1/2 and and cosx as sqrt(3)/2? Well, 30 degrees does, but 30 degrees is not within the range we are given. That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.
And 210 degrees in radians is 7pi/6.
I hoped that made sense.
(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2? According to the unit circle, 150 degrees and 210 degrees does. They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.
5) What quadrant is radian measure 5 in?
Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.
But to be sure let's change 5 radian to degrees:
5 * 180/pi = 900/pi = 286.48 degrees
286.48 degrees is definitely in Q4, so we are correct.
So you want to set up an equation for a weighted average. You know the final is 30% of the grade, so everything else is 70%. This gives you:
(Final)(.30) + (other grades)(.70) = course grade
The best grade the student can get would be if they get a hundred on the final, since that’s the best score you can make on the final. Then,
(100)(.30) + (82)(.70) = course grade
30 + 57.4 = course grade = 87.4 Which, If you round, the student would get an 87.
For the last part, we use the same equation, just filling in different parts.
(Final)(.30) + (other grades)(.70) = course grade
This time, we don’t know the grade for the final, but we know the course grade.
(Final)(.30) + (82)(.70) = 75
(Final)(.30) + 57.4 = 75
(Final)(.30) = 17.6
Final = (17.6)/(.30)
Final = 58.667 Which is approx a 59.
It is important to note the details already given in the question. Based on those details the answer to the question can be easily determined. Now let us focus on the question given.
Cost price of the product in question = $360
Percentage of gain on the product = 12.5%
Then
amount of gain made on the product = (12.5/100) * 360 dollars
= 450/10 dollars
= 45 dollars
So
The selling price of the product in question = (360 + 45) dollars
= 405 dollars
5/5+2/5=7/5
7÷5=1.4
Please mark me as the brilintest
Answer:
3
Step-by-step explanation:
The function is undefined when its denominator is zero. The value of x that makes the function undefined is the solution to
10x -30 = 0
x - 3 = 0 . . . . . divide by 10
x = 3 . . . . . . . . add 3
The value of x that is not in the domain of the function is x=3. The function is not defined for that value of x.
