A^2 -121 = a^2 -11^2 = (a-11)(a+11)
so the second choice is right sure
If the side length is greater than 11.11 cm then it will not overflow.
Otherwise, it will overflow.
If Joe tips the bucket of water in a cuboid container and the water is not overflowing then the cuboid container must be of volume greater than 1370 cm³.
We find the cube root of 1370 cm³.
![\sqrt[3]{1370} \approx11.11](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B1370%7D%20%5Capprox11.11)
Then the cuboid container should have a side of length greater than 11.11 cm.
Here the statement "If I tip my bucket of water in the cuboid container, it will never overflow" is correct or wrong based on the information that the container has a side length lesser or greater than 11.11 cm.
If the side length is greater than 11.11 cm then it will not overflow.
Otherwise, it will overflow.
Learn more about volume here-
brainly.com/question/1578538
#SPJ10
I found the value of x to be 6 by adding the two equations together and setting them equal to 180.
2x^2+3x-5+x^2+11x-7=180
When you solve for x you get x=6
Then you plug 6 in for x in each angle. The first angle is 85 and the second is 95.
Question:
Which expression is equivalent to 144^(3/2)
Answer:
1728
Step-by-step explanation:
The options are not well presented. However, this is the solution to the question.
Given:
144^(3/2)
Required:
Find Equivalent.
We start my making use of the following law of logarithm.
A^(m/n) = (A^m)^1/n
So,
144^(3/2) = (144³)^½
Another law of indices is that
A^½ = √A
So,
144^(3/2) = (144³)^½ = √(144³)
144³ can be expanded as 144 * 144 * 144.
This gives
144^(3/2) = √(144 * 144 * 144)
The square root can then be splitted to
144^(3/2) = √144 * √144 * √144
144^(3/2) = 12 * 12 * 12
144^(3/2) = 1728.
Hence, the equivalent of 144^(3/2) is 1728
Answer:
x = 7
Step-by-step explanation:
Hope this helps
