Answer:
They are 240 kilometers apart.
Step-by-step explanation:
This question can be solved using the following relation:
In which v is the velocity, d is the distance and t is the time.
An express train travels 80km/h from Ironton to Wildwood.
Here we have . So
A local train, traveling at 48km/h, takes 2 hours longer for the same trip.
This means that when
Since
Applying cross multiplication
So the distance is:
They are 240 kilometers apart.
we have that
I. Rewrite the equation by substituting the expression u in for sin x.
II. Factor the quadratic expression. Rewrite the equation with factors instead of the original polynomial.
is equal to
using a graph calculator-----> see the attached figure
III. Use the zero product property to solve the quadratic equation.
(u-3)=0--------------> u=3
(2u+1)=0-------- 2u=-1------> u=-1/2-----> u=-0.5
IV. Rewrite your solutions to Part III by replacing u with sin x.
sin x=3--------> is not the solution (sin x can not be greater than 1)
sin x=-0.50------>is the solution
V. Solve the remaining equations for x, giving all solutions to the equation.
sin x=-0.50
if the sine is negative
then
x belong to the III or IV quadrant
we know that
sin 30°=0.50
so
the solution for the III quadrant is
x=180°+30°-------> x=210°
the solution for the IV quadrant is
x=360°-30°------> x=330°
