Answer:
your answer will probably be 3.
Step-by-step explanation:
Answer:
(A)-494
Step-by-step explanation:
Given the arithmetic series

The terms in the sequence are:
- When k=1, 4-3k=4-3(1)=1
- When k=2, 4-3k=4-3(2)=-2
- When k=3, 4-3k=4-3(3)=-5
Therefore, the terms in the sequence are: 1, -2, -5, ...
First term, a =1
Common difference, d=-2-1=-3
The sum of an arithmetic series, ![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Therefore:
![S_{19}=\dfrac{19}{2}[2(1)+(19-1)(-3)]\\=9.5[2+18*-3]\\=9.5[2-54]\\=9.5*-52\\=-494](https://tex.z-dn.net/?f=S_%7B19%7D%3D%5Cdfrac%7B19%7D%7B2%7D%5B2%281%29%2B%2819-1%29%28-3%29%5D%5C%5C%3D9.5%5B2%2B18%2A-3%5D%5C%5C%3D9.5%5B2-54%5D%5C%5C%3D9.5%2A-52%5C%5C%3D-494)
The correct option is A.
Answer:

Step-by-step explanation:
Let
be the length of the longer side of the smaller rectangle and
be the length of the shorter side of the smaller rectangle
When you look at the combined rectangle from top to bottom, you can see that
. Therefore, 
This is the same for
. Thus, 
When you look from right to left, you can see that
. Using this, we can represent
in terms of
.

Now, we can find the ratio of
:

<u>This question was quite hard to explain.</u>
<u>If you have any questions about the solution, feel free to ask.</u>
<u>Please have a look at the diagram below to get a better understanding of the solution.</u>