The bearing of the plane is approximately 178.037°. 
<h3>Procedure - Determination of the bearing of the plane</h3><h3 />
Let suppose that <em>bearing</em> angles are in the following <em>standard</em> position, whose vector formula is:
(1)
Where:
- Magnitude of the vector, in miles per hour.
- Direction of the vector, in degrees.
That is, the line of reference is the 
semiaxis.
The <em>resulting</em> vector (
), in miles per hour, is the sum of airspeed of the airplane (
), in miles per hour, and the speed of the wind (
), in miles per hour, that is:
(2)
If we know that 
, 
, 
and 
, then the resulting vector is:
![\vec v = (7.986, -232.981) \,\left[\frac{mi}{h} \right]](https://tex.z-dn.net/?f=%5Cvec%20v%20%3D%20%287.986%2C%20-232.981%29%20%5C%2C%5Cleft%5B%5Cfrac%7Bmi%7D%7Bh%7D%20%5Cright%5D)
Now we determine the bearing of the plane (), in degrees, by the following <em>trigonometric</em> expression:
(3)
The bearing of the plane is approximately 178.037°.
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Answer:
solve for x in the second equation is correct
Step-by-step explanation:
Here is the complete question
Which first step for solving the given system using substitution results in an equation without fractions?
(2x+6y=7
(6x + 18y = 24.... 2
Solve for x in the first equation,
Solve for y in the first equation,
Solve for x in the second equation
The best equation to she will be equation 2 since all the coefficients are end numbers
Let us make x t subject f the formula from equation 2;
From 2: 6x+18y = 24
Subtract 18y from both sides
6x+18y-18y = 24-18y
6x = 24-18y
Divide through by 6
6x/6 = 24/6 - 18y/6
x = 4-3y.
You can see that the resulting expression of x is not a fraction. Hence solve for x in the second equation is correct
Answer:
See explanations below
Step-by-step explanation:
Given the functions
f(x) = 12x - 12
g(x) = x/12 - 1
To show they are inverses, we, must show that f(g(x)) = g(f(x))
f(g(x)) = f(x/12 - 1)
Replace x with x/12 - 1 into f(x)
f(g(x)) =12((x-12)/12) - 11
f(g(x)) = x-1 - 1
f(g(x)) =x - 2
Similarly for g(f(x))
g(f(x)) = g(12x-12)
g(f(x)) =(12x-12)/12 - 1
12(x-1)/12 - 1
x-1 - 1
x - 2
Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other
Answer:
She started with 200 stamps
Step-by-step explanation:
