Answer: The answer is 260°.
Step-by-step explanation: Given that a Carousel has 30 cars. We need to find the angle of rotation which maps car no. 6 to car no. 19.
Now, the Carousel will make a regular polygon with 30 sides and each car as a vertex.
So, angle of symmetry for the polygon is
Number of sides from car 6 to car 19 = 19 - 6 = 13.
Therefore, the angle of rotation that maps car 6 to car 19 is given by
Thus, the required angle of rotation is 260^\circ.
Answer:
cos(pi/2) + i sin (pi/2)
Step-by-step explanation:
(1+i)/ (1-i)
Multiply top and bottom by (1+i)
(1+i) (1+i)/ (1-i)(1+i)
Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i
Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2
2i/2 = i
the magnitude is (0^2+1^2) = 1
The angle is tan^-1( 1/0) = pi/2
cos(pi/2) + i sin (pi/2)
Answer:
y= -3x +4
Step-by-step explanation:
If the lines are parallel, the slopes are the same
so if a line is parallel to y =3x-10, the slope is also m=3
using y= mx+b
y = 3x+b
we can pick any b but -10 because that would make it the same line
9 is 9600 cause if you divide 48 by 5 you get 9.6 then times 9.6 times 1000 you get 9600
i cant solve number 10 its really blurry and hard to see
The square root of 121 is 11 because 11 times 11 is 121.
