Answer:
X=2.6
Step-by-step explanation:
Answer:
A.) 1018 square inches
Step-by-step explanation:
The largest sphere will have a diameter equaling the length of the cube (see picture).
If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:
![SA=4\pi r^2](https://tex.z-dn.net/?f=SA%3D4%5Cpi%20r%5E2)
For this formula, we need the radius of the sphere. Divide the diameter by 2:
![\frac{18}{2}=9](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B2%7D%3D9)
The radius is 9 inches. Plug this into the equation:
![SA=4\pi *9^2](https://tex.z-dn.net/?f=SA%3D4%5Cpi%20%2A9%5E2)
Simplify the equation:
![SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87](https://tex.z-dn.net/?f=SA%3D4%5Cpi%20%2A81%5C%5C%5C%5CSA%3D324%5Cpi%20%5C%5C%5C%5CSA%3D1017.87)
Round the result to the nearest whole number:
→
The surface area is 1,018 inches².
:Done
Picture:
In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.
The base unit of volume is the cubic meter, there are 1000 liters per cubic meter
Answer:
0.082 = 8.2× 10^-2
Step-by-step explanation:
Given the decimal number 0.082, the expanded form using the power of 10 can be gotten by writing the decimal number in standard format(writing as a multiple of 10).
To do that we will shift the decimal point to the front up to the front of digit 8. This shows that the decimal point will be shifted 2times to the front. Since of is shifted 2times to the front, our power of 10 will be -2.
0.082 = 8.2× 10^-2
This gives the required answer.
Note that, the power of 10 is positive when decimals are shifted to the back and negative when shifted to the front(in this case).
Step-by-step explanation:
In Kate's equation, 20 is the total number of tickets, 4 is number of tickets per ride, r is number of rides already ridden, and 4r is the number of tickets used
in Brian's equation, 5 is total number of rides Katie can ride and 5 - r is the number of rides left to ride