Carl’s square swimming pool has a volume of 1000 cubed feet. What are dimensions of his pool?
1 answer:
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The area of the rectangle is units.
Step-by-step explanation:
Step 1:
The area of a rectangle is obtained by multiplying the length with the width of the rectangle.
Considering this a whole rectangle, the length of the rectangle is 5 units and the width is the sum of ,
, and -6.
So the length of the rectangle = 5 units and
the width of the rectangle units.
The area of a rectangle = (length)(width).
Step 2:
By substituting the known values, we get
The area of the rectangle
So the area of the rectangle is units.
First, we are going to find the common ratio of our geometric sequence using the formula: 
. For our sequence, we can infer that 
and 
. So lets replace those values in our formula:
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
. We know that 
; we also know for our previous calculation that . So lets replace those values in our formula:
Finally, to find the 9th therm in our sequence, we just need to replace
with 9 in our explicit formula:
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>
Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:
Finally, to find the 9th therm in our sequence, we just need to replace
We can conclude that the 9th term in our geometric sequence is <span>1,562,500</span>