Write the mixed number as an improper fraction and the improper fraction as a mixed number.
2 answers:
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Answer:
The circumference of the circle is .
Step-by-step explanation:
A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.
The area of a circle is given by
The formula used to calculate the area of a sector of a circle is:
The circumference of a circle is the distance around the outside of the circle and its given by
We know the central angle = 110º and the area of the sector 50 units squared.
First, we use the formula to calculate the area of a sector to find the radius.
The radius can't be negative. Therefore,
Next, we apply the formula for the circumference of a circle.
Answer:
1) 36
b) 5
c) 3.0
Step-by-step explanation:
1) The recursive formula that defines the given sequence is
That means we keep adding 4 to the subsequent terms:
The sequence will be:
12,16,20,24,28,32,36,...
Therefore the seventh term is 36.
2) The sequence is recursively defined by;
This means, we have to keep subtracting 5 from the subsequent terms.
The sequence will be;
20,15,10,5,...
Therefore the fourth term is 5
3) The sequence is recursively defined by:
f(n+1)=f(n)+0.5
where f(1)=-1.5
This means that, the subsequent terms can be found by adding 0.5 to the previous terms.
The sequence will be:
-1.5,-1.0,-0.5,0,0.5,1,1.5,2.0,2.5,3.0,....
Therefore f(10)=3.0