From my research, the figure related to this image has a circle with a marked sector. The sector's radius is labeled r, and the angle labeled theta. Among the choices, the correct ones are: A. "If the ratio of the arc length to r is 1, then the measure of is 1 radian" and C. "<span>If the measure of is 1 radian, then the arc length is r</span>"
ANSWER TO QUESTION 1
.
EXPLANATION
The function given to us is,

According to rational roots theorem,
are possible rational zeros of
.
We find out that,




Also




This implies that
are factors of
and hence
is also a factor.
We perform the long division as shown in the diagram.
Hence,
.
ANSWER TO QUESTION 2
Sketching the graph
We can see from the factorization that the roots
and
have a multiplicity of 1, which is odd. This means that the graph crosses the x-axis at this intercepts.
Also the root
has a multiplicity of 2, which is even. This means the graph does not cross the x-axis at this intercept.
Now we determine the position of the graph on the following intervals,









We can now use these information to sketch the function as shown in diagram
The series in the form of arithmetic progression
The notation of A.P is a, a+d, a+2d.....
The summation notation is â‘
In this series a=3, d=7
Then the summation of A.P is â‘ = n/2(2a+(n-1)d)
=18/2(2*3+ (18-1)7)
= 9(6+17(7))
=9(6+119)
=9(125)
= 1125
Hence the total number of beads is 1125
Answer:
2
Step-by-step explanation:
Answer:
The final answer is
1/11
Step-by-step explanation:
13/143
= (13/13) / (143/13)
= 1/11