Answer:
The correct option is;
5.89°
Step-by-step explanation:
The speed with which the plane flies = 350 mph
The direction of flight of the plane = N 40° E
The speed with which the wind blows = 40 mph
The direction in which the wind blows = S 70° E
Therefore, we have;
The resolution of the components of the motion of the plane, given as follows;
= 350 × sin(40°)·i + 350 × cos(40°)·j
The resolution of the components of the motion of the wind, given as follows;
= 40 × sin(70°)·i - 40 × cos(70°)·j
The resultant motion of the plane is given as follows;
= 262.563·i + 254.435·j
The direction of motion of the plane = tan⁻¹(262.563/254.435) ≈ N 45.9° E
Therefore, the plane's drift = Plane's Track - Plane's Heading = N 45.9° E - N 40° E ≈ 5.9° ≈ 5.89°
Therefore, the correct option is 5.89°.
Answer:
Divide 288 by 2
You get 144
Next, Sandy needs 3 equal piles, so divide 144 by 3
You get 48.
There needs to be 48 of each color, including green
Step-by-step explanation:
Total fruit: 6 + 4 +2 = 12
Probability of Picking a banana is 6/12 = 1/2
Probability pf picking apple is 4/12 = 1/3
Probability of picking orange is 2/12 / 1/6
Picking an orange = 1/6
Answer:
The mean is 6.2.
Step-by-step explanation:
The "mean" is the same thing as the "average". Essentially, the question is asking for the average of the numbers.
So:
Add up all of the terms. [6 + 11 + 5 + 2 + 7] = 31
You find the average by dividing the sum of the terms (31) by the number of terms (5).
31/5 = 6.2
The mean is 6.2.
I hope this helped! :)
Answer:
31 aces
Step-by-step explanation:
To find the number of aces you would expect, take the probability of an aces and multiply by the number of tries
1/13 * 400 =30.76923
Rounding up, approximately 31 aces