Well idk what the numbers are, but the formula to find the are is 3.14(pi) x r^2
1) That equation cannot be factored. And you cannot find roots by using the root theorem or any exact method.
2) That means that you should use either a numerical method, which exceeds the high school level (even the basics college levels), or a graphing calculator.
3) I opted for the graphing calculator and found these roots for you:
One important observation is that the degree of polynomila, i.e. 6, indicate the maximum number of roots:
So, you can expect 6 solutions. These are:
Real roots:
x ≈ 0.65
x ≈ 2.13
Complex roots:
x ≈ -1.48 - 0.24i
x ≈ - 1.48 + 0.24i
x ≈ 0.59 - 1.87i
x ≈ 0.59 + 1.87i
Answer:
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:
You can see a graph of what the function looks like in the end on the attached picture.