Answer:

Step-by-step explanation:
GIVEN: A hotel charges a
annual fee plus an additional
for each night you stay there.
TO FIND: average cost per night if you stay at the hotel for
nights.
SOLUTION:
Annual fee charged by hotel 
amount charged each night we stay there 
Total number of nights we stay 
Total amount paid for
nights

Total amount paid 


average cost per night 
putting values,
average cost per night 

Hence average cost per night if we stay at hotel for
days is 
Answer:
c
Step-by-step explanation:
Answer:
Step-by-step explanation:
In each case, draw the right triangle which produces the inverse trig value. That is, label the two sides as needed, and calculate the third side.
It should be clear that


sin(2α) = 2 sinα cosα
So,

See what you can do with the others.
We can see that the 33 degrees corresponds to angle A (parallel lines) meaning they’re equal.
This means that 33 + 2x = 5x (5x is the exterior angle, so the other two interior angles’ sum must equal to it)
3x = 33
x = 11