The second answer choice.
Answer:
The maximum distance is 17.5 miles
No she can't make to the airport.
Step-by-step explanation:
Given the cab charges $0.8 per mile and $2 for tolls.
let the miles travelled by melissa be x.
The total charge is $
Now given that she can spend a maximum of $16
so the inequality is
Therefore the maximum distance she can travel is 17.5 miles
Since the distance to airport is 25 miles which is greater than 17.5 miles she cannot afford the cab.
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
The answer is going to be 11.98. hope that helped
lo puse en mi calculadora esperaba que esto ayudara
