The a is 11
g(4)=20+a
g(4)=31
31-20=11
a=11
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: 6.13
Step-by-step explanation:
From the question, we are informed that MUSIC Randall recorded 8 songs on his most recent CD and that the total length of the CD is 49 minutes.
The unit rate to represent the average length per song on the CD will be calculated by dividing 49 by 8. This will be:
= 49 minutes / 8
= 6.125 minutes per song
= 6.13 to nearest hundredths
Answer:
in 5 years he will have to pay over $10000 he will have to pay almost $100k
Step-by-step explanation: