Write a recursive formula for the sequence 7,4,1, -2 and -5. Then find the next term.
2 answers:
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Answer:
Hence, the answer is 86.42°.
Step-by-step explanation:
We are asked to find how many degrees is the painted spot turning in 0.75 s.
Let us consider that α denote the angle spot is turning in 0.75 sec.
As in 0.75 sec the height of table top is 12.
Hence we can use the trignometric identity to find the measure of angle α.
as
where P denotes the perpendicular i.e. the height of table top.
and B denotes the base i.e. the number of seconds.
Here P=12 and B=0.75
Hence,
we can factor the whole thing:
(2sin(x) -1)(sin(x)+1) = 0.
Therefore, sin(x) = -1 and sin(x) = 1/2.
For the first one x = 3π/2 and the second is π/6 and 5π/6
So 3π/2, π/6 and 5π/6 are the solutions.
I do kind of have a problem with this because it doesn't mention if you should go over 360°. Otherwise, you have to add in an 2nπ into the equations like 3π/2 + 2nπ;
but I don't know if that is necessary for you.
Let x be the number of people that can be seated.
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that
which is the same as saying 
The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have
indicating that x can be less than 1200 or equal to 1200.
So putting the two inequalities together, we get
Note: if you haven't learned about compound inequalities yet, then the teacher may only want as the answer.
The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that
The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have
So putting the two inequalities together, we get
Note: if you haven't learned about compound inequalities yet, then the teacher may only want