Answer:
The area of the room and its uncertainty in square meters is:
15.642±0.040
Step-by-step explanation:
We know the area of a rectangular room is the multiplication of the length and width:
Now we need to know the uncertainty, the uncertainty of a multiplication is:
(1)
: Area uncertainty
: Length uncertainty
: Width uncertainty
A: Area of the room
L: Length
W: Width
Clearing the uncertainty of the area:
(2)
The area of the room and its uncertainty in square meters is:
15.642±0.040
Answer: Third option.
Step-by-step explanation:
These are some transformations for a function f(x):
If , then the function is shifted down "k" units.
If , then the function is shifted right "k" units.
Knowing this we can describe the transformation from the graph of the function to the graph of the function
. This is:
The function is the function
but shifted right 3 units and shifted down 1 units.
Therefore, the correct option is the third one.
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.