Suppose
At the same time, we can write
Note that 
(just reverse the sum). Let's pair the first terms of 
and 
, and the second, and the third, and so on:
Now, each grouped term in the sum on the right side adds to 151. There are 52 grouped terms on that same side (because there are 50 numbers in the range of integers 51-100, plus 50 and 101), which menas
But , as we pointed out, so
The answer is 11.66 or 11.67 depending on how you round the decimal
5.268 • 10 to the power of 13
( the decimal point would have to move 14 times to the left)
Answer:
The area of the circle is 
Step-by-step explanation:
we know that
The area of a circle is equal to
we have
-----> the radius is half the diameter
substitute the value
Use the figure above as a reference. Identify the vertices of the rectangle before translation, the vertices are (-4,5), (1, 5), (-4,-2), and (1, -2). After translation of 6 units to the left, only the x-coordinates of the vertices are affected. Since the translation is to the left, subtract 6 from the x values of the vertices. Therefore, the vertices after translation are: (-10, 5), (-5, 5); (-10, -2) and (-5, -2).
The ordered pair not in the new set of vertices is (2, -2).
