What is... 8/9 x 7/8
2 answers:
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We can see that the graph touches without crossing the x-axis (i.e. it is a double solution), and then there's another zero at
(this time it's a crossing zero, so a single solution).
This leads, up to multiple, to the polynomial
If we impose the passing through we have
So, the polynomial is
Finally, to solve , simply look at the graph, searching for the points, where the graph is below the x-axis. You can see that this happens only if
, so that's the solution to your question.
12,900 BTU's are required to cool the room effectively.
Step-by-step explanation:
Step 1:
We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.
It is made up of a semi-circle a rectangle, and a trapezoid.
Step 2:
The area of a semi-circle
Here, the diameter is 20 feet so the radius is 10 feet.
The area of the semi-circle square feet.
The area of a rectangle
The length of the rectangle is 22 feet and the width is 20 feet.
The area of a rectangle square feet.
The area of a trapezoid
Here .
The area of a trapezoid square feet.
Step 3:
The total area of the floor plan square feet.
If 20 BTU's are required for a single square foot,
The number of BTU's for 645.079 square feet BTU's.
Rounding this off, we get 12,900 BTU's required to cool the room effectively.