Answer:
<em>The area of the shaded region is 3.</em>
Step-by-step explanation:
Since point E lies halfway between AB and BC, the area of the shaded region (As) consists of two identical triangles with base equal to AB and height equal to half the measure of BC:
Where At is the area of each triangle.
We know AB=3 and BC=2, thus:
Simplifying:
Finally:
The area of the shaded region is 3.
Note the area of the shaded region is half the area of the rectangle.
The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is:
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:
Read more about arithmetic series at:
Answer:
5280people
Step-by-step explanation:
Given parameters:
Percentage increase of population = 25%
Population now = 6600
Unknown:
Population last year = ?
Solution:
Let the population last year = y;
Then;
Percentage of last years population plus the population of last year should give us this year's population;
( of y) + y = 6600
0.25y + y = 6600
1.25y = 6600
y = = 5280people
Last year, there was 5280people in the locality.