Answer:
187.4
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
![\left[\begin{array}{c}-4\end{array}\right] +\left[\begin{array}{c}7\end{array}\right] =\left[\begin{array}{c}3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-4%5Cend%7Barray%7D%5Cright%5D%20%2B%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D7%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D3%5Cend%7Barray%7D%5Cright%5D)
Both of the matrices are 1 x 1 ("one by one"), so they can be added to produce a 1 x 1 matrix.
To add (or subtract) two matrices, they must be the same size.
(m x n) + (m x n) = (m x n)
m x n means a matrix has m rows and n columns. Dimensions are always named in that order: rows, then columns.
-3x^2+5x+12x-20
Combine like terms
-3x^2+17x-20
That is your answer
Answer:
The volume ratio is also 5 : 7
Step-by-step explanation:
The volume of a cylinder is given by the following formula:
volume = pi*r²*h
Since we have two cylinders and their height varies at a ratio of 5:7 we can say that the smaller one has a height of "h" while the bigger has height of "(7/5)*h". Thefore their volume is:
volume smaller = pi*r²*h
volume bigger = pi*r²*(7/5)*h
volume bigger = (7/5)*pi*r²*h
The ratio of their volume is given by the division of the smaller volume by the bigger one:
volume ratio = volume smaller / volume bigger
volume ratio = (pi*r²*h) / [(7/5)*pi*r²*h] = 1/(7/5)
volume ratio = 5/7
The volume ratio is also 5 : 7.
