400 is 10 times as much as
2 answers:
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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 =
The reflection across the x-axis only change the signal of the y coordinate. Hence, the new point is 
.
<h3>Answer:</h3>
square units (approximately 2338.26859)
The formula for finding the area of a regular hexagon when you know its side length is , where
is the area and
is the side length.
- Substitute in the side length.
- Simplify the exponent.
- Multiply.
- Divide.
is as simple as the solution can get without estimating, but you can estimate with a calculator to find that it is approximately 2338.26859.