1 one and 58 hundredths.
I hope you like this answer, and have a good night and life! :D
There must be more students in the class, and most of the class must have scored lower then Paul and his friends. I could be wrong, but I hope this helps! :D
Answer:
-3/2
Explanation:
Slopes of perpendicular lines are opposite reciprocals, which means you flip them and switch them from positive to negative, or the other way around.
Answer:
Step-by-step explanation:
8x + 12 = 3x + 5x + 12
8x + 12 = 8x + 12
Bringing like terms on one side
8x - 8x = 12 - 12
x = 0
Answer:
side of base, a = 10.1 inches, height, h = 40.1 inches
Step-by-step explanation:
Volume of rectangular solid, V = 4096 cubic inches
Let the side of base is a and the height is h.
![V = a^2h\\\\4096 = a^2 h ..... (1)](https://tex.z-dn.net/?f=V%20%3D%20a%5E2h%5C%5C%5C%5C4096%20%3D%20a%5E2%20h%20.....%20%281%29)
surface area of the solid
![S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches](https://tex.z-dn.net/?f=S%20%3D%202a%5E2%20%2B%204%20ah%20%5C%5C%5C%5CS%20%3D%202a%5E2%20%2B%204%20%5Ctimes%20a%20%5Ctimes%20%5Cfrac%7B4096%7D%7Ba%5E2%7D%20%20%20%20from%20%281%29%5C%5C%5CS%20%3D%202a%5E2%20%2B%20%5Cfrac%7B4096%7D%7Ba%7D%5C%5C%5C%5C%5Cfrac%7BdS%7D%7Bda%7D%3D%204%20a%20-%20%5Cfrac%7B4096%7D%7Ba%5E2%7D%5C%5C%5C%5C4%20a%20-%20%5Cfrac%7B4096%7D%7Ba%5E2%7D%20%3D%200%20%5C%5C%5C%5Ca%5E3%20%3D%201024%5C%5C%5C%5Ca%20%3D10.1%20inches)
So, h = 40.2 inches