Answer:
C
Step-by-step explanation:
The length of arc AC (L) is calculated as
L = circumference of circle × fraction of circle
= 2πr ×
= 2π × 12 ×
= 2π × 5
= 10π ≈ 31.42 → C
Angie is making wreaths to sell at a craft show. She has 6.5 yards of ribbon. Each wreath has a bow made from 1 1/3 yards of rib
1 answer:
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Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80 , we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
Hope you could understand.
If you have any query, feel free to ask.
