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:
$311.20
Step-by-step explanation:
Here we are required to use the Compound interest formula for finding the Amount at the end of 9th year
The formula is given as

Where ,
A is the final amount
P is the initial amount = $200
r is the rate of interest = 5% annual = 0.05
n is the frequency of compounding in a year ( Here it is compounding monthly) = 12
t is the time period = 9
Now we substitute all these values in the formula and solve for A





Hence the amount after 9 years will be $311.20
Answer:
Give each a common denominator
Step-by-step explanation:
So let’s say you have 1/2 and 2/4 how would you know which is bigger well we know both 2 and 4 go into 4 so 1/2 x2 = 2/4 so these 2 are equal
Answer:
8
Step-by-step explanation:
45 divided by 5 is 9 and what you do on the to you do on the bottom which means you would do 40 divided by 5 which you would get 8 as your answer.