John has finished 20% of an art project that taken 3 hours if he Continues to work at the same rate how many hours will it take
2 answers:
Answer:
15 hours
Step-by-step explanation:
To solve this you start by setting up the proportion: =
. This is because we want to know if 3 hours is 20 percent, then how much is 100 percent.
Next we cross multiply to get 300 = 20x
Now we can divide both sides by 20 to get 15.
To check the work we can multiply 15 by .2 and we get 3, so we know it's correct.
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Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
= (350 × cos 50)·i + (350 × sin 50)·j
= (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane = +
= 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East