Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:
Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:
Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.
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