A countertop is in the shape of a trapezoid.
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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.
Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.
<h3>What is a Quadratic Equation?</h3>A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,
As we can see that the value of constants are,
a = 6
b = -31
c = 30
Therefore, the factors of the trinomial are (6x+5) and (x-6).
If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.
Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.
Learn more about Quadratic Equation: