Answer:
![y=-67.5[cos(\frac{\pi}{15}t)-1]](https://tex.z-dn.net/?f=y%3D-67.5%5Bcos%28%5Cfrac%7B%5Cpi%7D%7B15%7Dt%29-1%5D)
Step-by-step explanation:
We can start solving this problem by doing a drawing of London Eye. (See attached picture).
From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

where:
A=amplitude
= angular speed.
t= time (in minutes)
b= vertical shift.
In this case:
A= radius = 67.5 m

where the frequency is the number of revolutions it takes every minute, in this case:

so:


and
b= radius, so
b=A
b=67.5m
so we can now build our equation:

which can be factored to:
![y=-67.5[cos(\frac{\pi}{15}t)-1]](https://tex.z-dn.net/?f=y%3D-67.5%5Bcos%28%5Cfrac%7B%5Cpi%7D%7B15%7Dt%29-1%5D)
You can see a graph of what the function looks like in the end on the attached picture.
Answer:
1,2,3,4,5,6,7,8,9,10,11,12
Step-by-step explanation:
hehhehe easy
Answer:
Option A:
is the correct answer.
Step-by-step explanation:
Given that:
Slope of the line = 
Let,
m be the slope of the line perpendicular to the line with slope 
We know that,
The product of slopes of two perpendicular lines is equals to -1.
Therefore,

Multiplying both sides by 

m = 
is the slope of the line perpendicular to the line having slope
Hence,
Option A:
is the correct answer.
5 .... Hope it helps, have a good rest of the day:)
Answer:
C : $58.36
Step-by-step explanation:
Given:
A store holiday sale has an item marked down by $10.
Discount on new price = 25%
Final price was $36.27.
Question asked:
what was the original ?
Solution:
Let original price = 
New price = 
Original price - marked down amount - discount amount = $36.27


Adding both side by 7.5

Dividing both side by 0.75

Therefore, the original price was $58.36