Answer:
HER PERCENT WAS 46.67
Step-by-step explanation:
Answer:
3.141592
Step-by-step explanation:
Answer:
140 inches cubed
Step-by-step explanation:
Use the formula V = length * width * height to find the volumes of each block, then add them together to get the combined volume. So, (5 * 4 * 5) + (4 * 5 * 2) = 140 inches cubed, which is the combined volume.
Hopefully this helps- let me know if you have any questions!
The coefficient matrix is
![\begin{bmatrix}-1&-1&2\\3&2&-1\\4&4&-8\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D-1%26-1%262%5C%5C3%262%26-1%5C%5C4%264%26-8%5Cend%7Bbmatrix%7D)
Notice that the last row is -4 times the first row, so that the rows of the matrix are not independent. This means the determinant would be 0.
Just to confirm, we can compute the determinant via a Laplace expansion along the first row:
![\begin{vmatrix}-1&-1&2\\3&2&-1\\4&4&-8\end{vmatrix}=-\begin{vmatrix}2&-1\\4&-8\end{vmatrix}+\begin{vmatrix}3&-1\\4&-8\end{vmatrix}+2\begin{vmatrix}3&2\\4&4\end{vmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bvmatrix%7D-1%26-1%262%5C%5C3%262%26-1%5C%5C4%264%26-8%5Cend%7Bvmatrix%7D%3D-%5Cbegin%7Bvmatrix%7D2%26-1%5C%5C4%26-8%5Cend%7Bvmatrix%7D%2B%5Cbegin%7Bvmatrix%7D3%26-1%5C%5C4%26-8%5Cend%7Bvmatrix%7D%2B2%5Cbegin%7Bvmatrix%7D3%262%5C%5C4%264%5Cend%7Bvmatrix%7D)
![=-(-16+4)+(-24+4)+2(12-8)=12-20+8=0](https://tex.z-dn.net/?f=%3D-%28-16%2B4%29%2B%28-24%2B4%29%2B2%2812-8%29%3D12-20%2B8%3D0)
Answer:
https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate
find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).