Answer:
Therefore the new coordinate of the point is (2,-4)
Step-by-step explanation:
A point (2,4) is rotated clockwise .
The point (2,4) lies on the first coordinate.If the point rotated clockwise direction It will be go fourth coordinate.
Therefore the new coordinate of the point is (2,-4)
Answer:
3(y-4) + 3 = 9
3y -12 +3=9
3y -9 = 9
3y = 9+9
3y=18
y=18÷3
∴y=6
Step-by-step explanation:
Answer:
the value of a would be one, i think
Since a calculator is involved in finding the answer, it makes sense to me to use a calculator capable of adding vectors.
The airplane's ground speed is 158 mph, and its heading is 205.3°.
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A diagram can be helpful. You have enough information to determine two sides of a triangle and the angle between them. This makes using the Law of Cosines feasible for determining the resultant (r) of adding the two vectors.
.. r^2 = 165^2 +15^2 -2*165*15*cos(60°) = 24975
.. r = √24975 ≈ 158.03
Then the angle β between the plane's heading and its actual direction can be found from the Law of Sines
.. β = arcsin(15/158.03*sin(60°)) = 4.7°
Thus the actual direction of the airplane is 210° -4.7° = 205.3°.
The ground speed and course of the plane are 158 mph @ 205.3°.
Answer:
9.23
14.43-5.2=9.23
Step-by-step explanation:
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