Question 8 Multiple Choice Worth 1 points)
1 answer:
Answer:
Step-by-step explanation:
As it is given that
Both Riley and Francesca commute to work.
And, the Riley takes 12 minutes more than as Francesca as Riley takes 36 minutes
So for determining how many minutes is required for Francesca to get to work we need
Let us assume the time taken by Francesca to get to work is x
So, the time taken by Riley is
And, Riley takes 36 minutes to get to work.
So, the equation would be
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Answer:
Step-by-step explanation:
Begin by squaring both sides to get rid of the radical. Doing that gives you:
Now use the Pythagorean identity that says
and make the replacement:
. Now move everything over to one side of the equals sign and set it equal to 0 so you can factor:
and then simplify to
Factor out the common cos(x) to get
and there you have your 2 trig equations:
cos(x) = 0 and 1 - cos(x) = 0
The first one is easy enough to solve. Look on the unit circle and see where, one time around, where the cos of an angle is equal to 0. That occurs at
The second equation simplifies to
cos(x) = 1
Again, look to the unit circle and find where the cos of an angle is equal to 1. That occurs at π only.
So, in the end, your 3 solutions are