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:
Kyle’s fixed monthly salary in dollars is $1800
Step-by-step explanation:
let a be the fixed monthly salary
let b% represent the fixed percentage of sales
a+(b%*15000)=2550
a+(b%*25000)=3050
a+(b/100*15000)=2550
a+150b=2550
a+(b/100*25000)=3050
a+250b=3050
now we have
a+150b=2550
a+250b=3050
let subtract a+150b=2550 from a+250b=3050
100b=500
b=500/100=5%
then a+(5%*15000)=2550
a+750=2550
a=2550-750=$1800
Answer:
Christianity
May god Bless you
Step-by-step explanation:
A would be your answer I believe
Let x be the page number then x+1 would be the other page number (because the pages are two facing pages which means they follow on consecutively)
Then
(x)(x+1) = 156
x^2 + x - 156 = 0
x = 12 or x = -13( but x can't be a negative number)
so x = 12
and the next page is 13