Answer:
C) 52 in^3
Step-by-step explanation:
The first is to determine the formula of the volume of the box, which would be the following:
V = height * length * width
Knowing that we have a rectangular piece we will determine the maximum volume, we will double a distance x (which will be the height) in the width and length of the piece, therefore as it is on both sides, the length and width are defined from the Following way:
length = 10 - 2 * x
width = 8 - 2 * x
height = x
Now we calculate the volume:
V = x * (10-2 * x) * (8-2 * x)
To determine the maximum volume we will give values to x in order to see how it behaves:
Let x = 2.5
V = (5) * (3) * (2.5) = 37.5
Let x = 2
V = (6) * (4) * (2) = 48
Let x = 1.5
V = (7) * (5) * (1.5) = 52.5
Let x = 1
V = (8) * (6) * (1) = 48
Let x = 0.5
V = (9) * (7) * (0.5) = 31.5
It can be seen that the greatest volume is obtained when the height is equal to 1.5 and its volume is 52.5 in ^ 3
No this number is not written in scientific notation
In scientific notation, it'll look like
4.8 * 10 ^14
In scientific notation it's 10 ^ n
NOT 100^n
Hope this helps
The answer would be C
2x + 9 = 21
1. 2x = 12
2. x = 6
Here you go. Hope you get this.
Answer:radius =10 units
Step-by-step explanation:
Given
Equation of circle is given by
![(x-13.4)^2+(y+2.6)^2=100\quad \ldots(i)](https://tex.z-dn.net/?f=%28x-13.4%29%5E2%2B%28y%2B2.6%29%5E2%3D100%5Cquad%20%5Cldots%28i%29)
Now general equation of circle with center
with radius
is given by
![(x-h)^2+(y-k)^2=r^2\quad \ldots(ii)](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2%5Cquad%20%5Cldots%28ii%29)
Comparing
and
we get
![h=13.4](https://tex.z-dn.net/?f=h%3D13.4)
![k=-2.6](https://tex.z-dn.net/?f=k%3D-2.6)
![r=10](https://tex.z-dn.net/?f=r%3D10)
Thus center is ![(13.4,-2.6)](https://tex.z-dn.net/?f=%2813.4%2C-2.6%29)
and radius ![r =10\ units](https://tex.z-dn.net/?f=r%20%3D10%5C%20units)