Answer:
12.57
Step-by-step explanation:
C=2πr
2π2
4π
12.57
I would have to say it's number 2
Answer:
C. And the reference angle is pi/3
Step-by-step explanation:
Let me give you a little quick way to do this. You’re probably trying to memorize the unit circle and figure out what 2pi/3 equals. However, all you need is a bit of math.
Start with the denominator and multiply the numerator by its correct angle
Anything with 3 in it’s denominator, is a multiple of a 60 degree angle. The numerator is 2 so do 60 x 2, which equals 120. Your angle is 120 and will land in the top left quadrant.
Moving on to the reference angle. Think of this as being what you have left on the horizontal axis. The angle took up 120 degrees. Now find the rest. 180 - 120 = 60. Pi/3 equals 60 degrees
Answer:
The rule of the translation is (x,y) ----> (x+3,y-6)
The coordinates of the duck’s final position are (4,-3)
Step-by-step explanation:
we know that
A duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down
That means -----> The rule of the translation is
3 units right ----> x+3
6 units down ---> y-6
so
(x,y) ----> (x+3,y-6)
To find out the the coordinates of the duck’s final position, apply the rule of the translation to the duck’s original position
so
(1,3) ------> (1+3,3-6)
(1,3) ------> (4,-3)