Answer:
C, D, B, A
Step-by-step explanation:
The greater the angle the tangent line makes with the positive x-axis, the greater the slope. Angles increase in the counterclockwise direction, so the question here is equivalent to asking for the tangent lines to be put in clockwise (decreasing slope) order.
That order is C, D, B, A.
Answer: f(120°) = (√3) + 1/2
Step-by-step explanation:
i will solve it with notable relations, because using a calculator is cutting steps.
f(120°) = 2*sin(120°) + cos(120°)
=2*sin(90° + 30°) + cos(90° + 30°)
here we can use the relations
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)
then we have
f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) + cos(90°)*cos(30°) - sin(90°)*sin(30°)
and
cos(90°) = 0
sin(90°) = 1
cos(30°) = (√3)/2
sin(30°) = 1/2
We replace those values in the equation and get:
f(120°) = 2*( 0 + (√3)/2) + 0 + 1/2 = (√3) + 1/2
PQ is the tangent, therefore you can use a theorem: The arc measure is double the amount of the angle the tangent makes.
So: 62/2=31
So the first column is if a serving is 36 so all you have to do is divide all the different ingredient amounts by three and that will tell you the answer for the serving of 12 row because 12 * 3 = 36
and for the 24 row just multiply all the numbers you get in the 12 row and that will be the answer cause 12 * 2 = 24
then what ever numbers you get on the 12 serving column just divide those by 12 and that will tell you how much you get for one serving and that will help you solve for the 60 one and the 300 one all you have to do it times the numbers by 60 and then 300
