Answer:
3x - 36
Step-by-step explanation:
-3 (-x+12)
simply the expression
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:
The inequality is 6 + 3x ≤ 12 or x ≤ 2 .
Step-by-step explanation:
Given that $6 is for admission which is a fixed amount, $3 is charged per hour and must not spend more than $12. So the inequality will be :
Let x be the no. of hours,
6 + 3x ≤ 12
Solve :
6 + 3x ≤ 12
3x ≤ 12 - 6
3x ≤ 6
x ≤ 6 ÷ 3
x ≤ 2
The answer is the third one aka C.
There must not be two points on the same y-axis because that doesn't make a function but a relation instead.
C. doesn't have 2 points on same y-axis and therefore the third picture is the relation that's a function.