The unit rate is 13 hours 20 minutes per customer.
Answer:
![\left\{\begin{array}{l}x+y\le360\\ \\\dfrac{x}{45}+\dfrac{y}{35}\le 8\end{array}\right..](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%2By%5Cle360%5C%5C%20%5C%5C%5Cdfrac%7Bx%7D%7B45%7D%2B%5Cdfrac%7By%7D%7B35%7D%5Cle%208%5Cend%7Barray%7D%5Cright..)
Step-by-step explanation:
Let x minutes be the time spent on skills and y minutes be the time spent on conditioning that Greg can complete this week.
1. To avoid excess fatigue, his coach requires Greg to spend no more than 360 minutes training in any week, then
![x+y\le 360.](https://tex.z-dn.net/?f=x%2By%5Cle%20360.)
2. When Greg trains, he either spends 45 minutes on skills or 35 minutes on conditioning. If Greg spends x minutes on skills, then
is the number of skills training sessions. If Greg spends y minutes on conditioning, then
is the number of conditioning training sessions. His schedule this week allows him to complete at most 8 training sessions, then
![\dfrac{x}{45}+\dfrac{y}{35}\le 8.](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B45%7D%2B%5Cdfrac%7By%7D%7B35%7D%5Cle%208.)
Therefore, the following system of inequalities can be used to determine the time spent on skills, x, and the time spent on conditioning, y, that Greg can complete this week
![\left\{\begin{array}{l}x+y\le360\\ \\\dfrac{x}{45}+\dfrac{y}{35}\le 8\end{array}\right..](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx%2By%5Cle360%5C%5C%20%5C%5C%5Cdfrac%7Bx%7D%7B45%7D%2B%5Cdfrac%7By%7D%7B35%7D%5Cle%208%5Cend%7Barray%7D%5Cright..)
Answer:
B. Nul A
E. Nul A^T
Step-by-step explanation:
Please check below for the solution of the problem in the attached file
Answer:
XY is a tangent
Step-by-step explanation:
Given
![XY = 12](https://tex.z-dn.net/?f=XY%20%3D%2012)
![WY = 20](https://tex.z-dn.net/?f=WY%20%3D%2020)
![WZ = 8](https://tex.z-dn.net/?f=WZ%20%3D%208)
Required
Is XY a tangent?
XY is a tangent if:
![WY^2 = XY^2 + WX^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20WX%5E2)
Because XY should make a right angle at point X with the circle
Where
![WX = 2 * WZ](https://tex.z-dn.net/?f=WX%20%3D%202%20%2A%20WZ)
So, we have:
![WY^2 = XY^2 + WX^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20WX%5E2)
![WY^2 = XY^2 + (2*WZ)^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20%282%2AWZ%29%5E2)
![WY^2 = XY^2 + (2WZ)^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%20%282WZ%29%5E2)
![WY^2 = XY^2 + 4WZ^2](https://tex.z-dn.net/?f=WY%5E2%20%3D%20XY%5E2%20%2B%204WZ%5E2)
This gives:
![20^2 = 12^2 + 4*8^2](https://tex.z-dn.net/?f=20%5E2%20%3D%2012%5E2%20%2B%204%2A8%5E2)
![400 = 144 + 256](https://tex.z-dn.net/?f=400%20%3D%20144%20%2B%20256)
![400 = 400](https://tex.z-dn.net/?f=400%20%3D%20400)
<em>Yes, XY is a tangent</em>
The Pacific Ocean has the lowest point, by 3000 meters