Cos30 = sin(90 - 60) = √3/2, because cos and sin are complements
cos120 = cos(180 - 60) = -cos60 = -1/2
Answer:
In 4 months the cost of both gyms will be the same.
Step-by-step explanation:
At first we need to model the function to calculate the cost of the 2 gyms.
Slope-intercept equation of linear function
where
slope of line
y-intercept
Let linear function to calculate total cost of gym be:
where
total cost of gym
cost per month (slope)
number of months
start-up fee (y-intercept)
For Gym 1
, 
For Gym 2
, 
In order to find the number of months the cost of both gyms will be the same, we need to equate both functions and solve for number of months 
So,
In 4 months the cost of both gyms will be the same.
Answer:
cool thx for the points
Step-by-step explanation:
Answer:
The number of adults tickets and student tickets purchased is 5 and 3.
Given that,
Tickets to a movie cost $7.25 for adults and $5.50 for students.
A group of friends purchased 8 tickets for $52.75.
Here we assume the no of adult tickets and no of student tickets be x and y.
Based on the above information, the calculation is as follows:
7.25x + 5.50y = 52.75 .............(i)
x + y = 8
x = 8 - y..................(2)
Now put the x value in the equation (1)
So,
7.25(8-y) + 5.50y = 52.75
7.25 × 8 - 7.25y + 5.50y = 52.75
58 - 1.75y = 52.75
5.25 = 1.75y
y = 3
So,
x = 8 - 3
= 5
Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.
-Hope this helps<3
