Answer: see answers below
<u>Step-by-step explanation:</u>
y = A cos (Bx - C) + D
- A is the amplitude
- Period = 2π/B → B = 2π/Period
- Phase shift = C/B
- D is the vertical shift (aka midline)
Given: A = 5/2, B = π/6, C = 0, D = 13/2
1) midline (D) ± amplitude (A) = Max & Min
Max: 13/2 + 5/2 = 18/2 = 9
Min: 13/2 - 5/2 = 8/2 = 4
2) Midline (D) is given as 13/2 = 6.5
3) Period = 2π/B = 2π/(π/6) = 12
4) Formula is given as: y = 5/2 cos (π/6)x + 13/2
5) change the coordinates of y = cos (x) and as follows:
- x-value: add C then divide by B
- y-value: multiply by A then add D
Note that A = 5/2, B = π/6, C = 0, D = 13/2
To do this you first have to find the measure of the angle that is inside that pie-shaped part of the circle. The measure around the circle is 360 which is the same as 2pi. Subtract 5pi/3 from 2pi and you get pi/3, which happens to be a 60 degree angle. What you are looking for is arc length (not arc measure which is measured in degrees, not inches, feet, etc.) The formula for that is this:
, where beta is the arc measure in question and d is the diameter of the circle. If the central angle we found measured 60 degrees, then the arc it intercepts also measures 60 degrees, therefore s measures 300 (360-60). So now our formula looks like this:
. When you do all that math, multiplying pi in, you get an arc length of 47.1, the first choice.
Answer:
x =
Y
/m − p
/m +8
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
IM TO LAZY TO EXPLAIN BUT ITS RIGHT
