Answer:
Three non-collinear points determine a plane.
Step-by-step explanation:
This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is
<h2><em><u>
Answer:</u></em></h2>
Total Surface Area = 375 ![ft^2](https://tex.z-dn.net/?f=ft%5E2)
<h2><em><u>
Step-by-step explanation:</u></em></h2>
You need to find the area of the ceiling, floor, the two rectangle walls and the two trapezoid walls
<u>Area of the ceiling:</u>
c = length * width
c = 9*6.5 = 58.5
<u>Area of the 2 rectangle walls:</u>
w = 2(length * width)
w = 2(9 * 8)
w = 2(72)
w = 144
<u>Area of floor:</u>
f = 9 * 7.5
f = 67.5
<u>Area of the two trapezoids:</u>
![t = 2(h * \frac{a + b}{2})](https://tex.z-dn.net/?f=t%20%3D%202%28h%20%2A%20%5Cfrac%7Ba%20%2B%20b%7D%7B2%7D%29)
a = 6.5
b = 7.5
h = 7.5
![t = 2(h * \frac{a + b}{2})](https://tex.z-dn.net/?f=t%20%3D%202%28h%20%2A%20%5Cfrac%7Ba%20%2B%20b%7D%7B2%7D%29)
![t = 2(7.5 * \frac{6.5 + 7.5}{2})](https://tex.z-dn.net/?f=t%20%3D%202%287.5%20%2A%20%5Cfrac%7B6.5%20%2B%207.5%7D%7B2%7D%29)
![t = 2(7.5 * \frac{14}{2})](https://tex.z-dn.net/?f=t%20%3D%202%287.5%20%2A%20%5Cfrac%7B14%7D%7B2%7D%29)
![t = 2(7.5 * 7)](https://tex.z-dn.net/?f=t%20%3D%202%287.5%20%2A%207%29)
![t = 2(52.5)](https://tex.z-dn.net/?f=t%20%3D%202%2852.5%29)
![t = 105](https://tex.z-dn.net/?f=t%20%3D%20105)
Total Surface Area = c + w + f + t
Total Surface Area = 58.5 + 144 + 67.5 + 105
Total Surface Area = 375 ![ft^2](https://tex.z-dn.net/?f=ft%5E2)
Since the equation is:
<span>P(x)=-5x^2+40x-300
Solving the equation by using the calculator, the values for x are:
x = 4.72
Therefore, the company must sell 8 items per week to maximize the profit.
</span>I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!