Answer:
the scenic route take 6h 40m
Step-by-step explanation:
first we have to make an equation that represents the relationship of each route
x = scenic route
y = direct route
x = y + y * 25/100
now we have to make an equation that represents the routes over time
x + y = 12
we replace the x by what is the same in the first equation (y + y * 25/100) in the second equation
x + y = 12
(y + y * 25/100) + y = 12
2 y + 0.25 y = 12
2.25y = 12
y = 12/2.25
if we spend this in minutes multiplying it by 60
y = 12/2.25 * 60 = 320 m = 5h 20m
x + y = 12
x + (5h 20m) = 12h
x = 12h - 5h 20m
x = 6h 40m
We have hypothenuse which I will denote with and angle .
First we can use the sine function to determine the length of by solving the following equality:
.
Simlarly, we can find using cosine function:
.
Hope this helps.
Answer:
or four elevenths
× =
Simplified it equals:
<u>Hope this helps and have a nice day!</u>