If the point (3,2) is rotated counterclockwise 350 degrees about an origin, then the new coordinates if new point will be (3.28,1.44).
Given that the point is (3,2) and the point is rotated counterclockwise 350 degrees about an origin.
We are required to find the new coordinates.
Origin is a point where both the values of x and y are equal to zero.
a=arc tan (2/3)=33.7
r=
=
b=a+350
=33.7+350
=383.7 degrees
x=r cos b=
cos 383.7=
*0.91=3.28
y=r sin b=
sin 383.7=
80.40=1.44
Hence if the point (3,2) is rotated counterclockwise 350 degrees about an origin, then the new coordinates if new point will be (3.28,1.44).
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9514 1404 393
Answer:
about 1.4288993 radians
Step-by-step explanation:
The angle to terminal arm A is ...
∠A = arctan((-4/5)/(-3/5)) ≈ 4.0688879 radians
The angle to terminal arm B is ...
∠B = arctan((-1/√2)/(1/√2)) ≈ 5.4977871 radians
Then the angle between the arms is ...
5.4977871 -4.0688879 ≈ 1.4288993 . . . radians
Answer:
x=4
Step-by-step explanation:
x-8= x/2 -x-6/3
x-8=x/2-x-2
x-8=-x/2-2
1.5x-8=-2
1.5x=6
x=4