Answer:
The cyclists should be riding 20 miles every day. (Which is a lot for me)
Step-by-step explanation:
All we have to do to find how many Miles per Day, is to divided the miles by the days.
120 ÷ 6 = 20
So, the cyclists should be riding 20 miles every day.
Answer:
![X=\begin{Bmatrix}2& 1 &10 \\-3 & 5 & 4\end{Bmatrix}](https://tex.z-dn.net/?f=X%3D%5Cbegin%7BBmatrix%7D2%26%201%20%2610%20%5C%5C-3%20%26%205%20%26%204%5Cend%7BBmatrix%7D)
Step-by-step explanation:
From the question we are told that
Matrix is given as ![A=\begin{Bmatrix}2 & -1 & 10\\-3 & 8 & 4\end{Bmatrix}](https://tex.z-dn.net/?f=A%3D%5Cbegin%7BBmatrix%7D2%20%26%20-1%20%26%2010%5C%5C-3%20%26%208%20%26%204%5Cend%7BBmatrix%7D)
Generally let the change in matrix be given as X
![X_1_2 = 2*(-(-1)) + - 1 = 1X_2_2 = -3 * (-(-1))+ 8 = 5](https://tex.z-dn.net/?f=X_1_2%20%3D%202%2A%28-%28-1%29%29%20%2B%20-%201%20%3D%201X_2_2%20%3D%20-3%20%2A%20%28-%28-1%29%29%2B%208%20%3D%205)
Matlab output
![A=[2 -1 10;-3 8 4]\\a=(A(1,1)*-A(1,2))+A(1,2)\\b=(A(2,1)*-A(1,2))+A(2,2)\\X=[A(1,1) a A(1,3); A(2,1) b A(2,3)]\\](https://tex.z-dn.net/?f=A%3D%5B2%20-1%2010%3B-3%208%204%5D%5C%5Ca%3D%28A%281%2C1%29%2A-A%281%2C2%29%29%2BA%281%2C2%29%5C%5Cb%3D%28A%282%2C1%29%2A-A%281%2C2%29%29%2BA%282%2C2%29%5C%5CX%3D%5BA%281%2C1%29%20a%20A%281%2C3%29%3B%20A%282%2C1%29%20b%20A%282%2C3%29%5D%5C%5C)
Generally the matrix that makes row 2 of matrix A equal to first row of A multiplied by the negative of the first element of row 2 plus the original row is
![X=\begin{Bmatrix}2& 1 &10 \\-3 & 5 & 4\end{Bmatrix}](https://tex.z-dn.net/?f=X%3D%5Cbegin%7BBmatrix%7D2%26%201%20%2610%20%5C%5C-3%20%26%205%20%26%204%5Cend%7BBmatrix%7D)
Answer: ![SA=2,564\ cm^2](https://tex.z-dn.net/?f=SA%3D2%2C564%5C%20cm%5E2)
Step-by-step explanation:
The area of a rectangle can be calculated with this formula:
![A=lw](https://tex.z-dn.net/?f=A%3Dlw)
Where "l" is the length and "w" is the width.
The area of a triangle can be found using the following formula:
![A=\frac{bh}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Bbh%7D%7B2%7D)
Where "b" is the base of the triangle and "h" is the height.
You can observe that the figure is formed by three different rectangles, Using the formulas, you ge that the area of each rectangle is:
![A_1=(10\ cm)(36\ cm)=360\ cm^2\\\\A_2=(36\ cm)(26\ cm)=936\ cm^2\\\\A_3=(36\ cm)(28\ cm)=360\ cm^2=1,008\ cm^2](https://tex.z-dn.net/?f=A_1%3D%2810%5C%20cm%29%2836%5C%20cm%29%3D360%5C%20cm%5E2%5C%5C%5C%5CA_2%3D%2836%5C%20cm%29%2826%5C%20cm%29%3D936%5C%20cm%5E2%5C%5C%5C%5CA_3%3D%2836%5C%20cm%29%2828%5C%20cm%29%3D360%5C%20cm%5E2%3D1%2C008%5C%20cm%5E2)
The triangles are equal, then, using the formula shown above, you get that the area of each of them is:
![A_4=A_5=\frac{(26\ cm)(10\ cm)}{2}=130\ cm^2](https://tex.z-dn.net/?f=A_4%3DA_5%3D%5Cfrac%7B%2826%5C%20cm%29%2810%5C%20cm%29%7D%7B2%7D%3D130%5C%20cm%5E2)
Adding all the areas, you get that the surface area of the figure is:
![SA=360\ cm^2+936\ cm^2+1,008\ cm^2+2(130\ cm^2)\\\\SA=2,564\ cm^2](https://tex.z-dn.net/?f=SA%3D360%5C%20cm%5E2%2B936%5C%20cm%5E2%2B1%2C008%5C%20cm%5E2%2B2%28130%5C%20cm%5E2%29%5C%5C%5C%5CSA%3D2%2C564%5C%20cm%5E2)
Answer:
Track L and Track M??
Step-by-step explanation:
quite similar