Answer:
I am still trying to pick between third-person limited and third-person omniscient...Let me know which one is right :)
Step-by-step explanation:
Answer:
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
Step-by-step explanation:
By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:
Community swimming pool
![V_{c} = l\cdot w\cdot h (1)](https://tex.z-dn.net/?f=V_%7Bc%7D%20%3D%20l%5Ccdot%20w%5Ccdot%20h%20%281%29)
Wading pool
![V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)](https://tex.z-dn.net/?f=V_%7Bw%7D%20%3D%20%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20l%20%5Cright%29%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20h%5Cright%29%5Ccdot%20w%20%282%29)
Where:
l – Length of the swimming pool, measured in feet.
h – Depth of the swimming pool, measured in feet.
w – Width of the swimming pool, measured in feet.
– Volume of the community swimming pool, measured in cubic feet.
– Volume of the wading swimming pool, measured in cubic feet.
The ratio of the volume of the community swimming pool to the volume of the wadling pool is:
![\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)](https://tex.z-dn.net/?f=%5Cfrac%7BV_%7Bc%7D%7D%7BV_%7Bw%7D%7D%20%3D%20%5Cfrac%7Bl%5Ccdot%20w%20%5Ccdot%20h%7D%7B%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20l%20%5Cright%29%5Ccdot%20%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Ccdot%20h%5Cright%29%5Ccdot%20w%7D%20%283%29)
![\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }](https://tex.z-dn.net/?f=%5Cfrac%7BV_%7Bc%7D%7D%7BV_%7Bw%7D%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Cfrac%7B1%7D%7B4%7D%20%7D)
![\frac{V_{c}}{V_{w}} = 4](https://tex.z-dn.net/?f=%5Cfrac%7BV_%7Bc%7D%7D%7BV_%7Bw%7D%7D%20%3D%204)
The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.
Answer: ( -0.731, 0.682)
Step-by-step explanation:
The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.
Knowing the angle, is really simple to do it.
First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:
x = R*cos(A)
y = R*sin(A)
And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°
x = 1*cos(137°) = -0.731
y = 1*sin(137°) = 0.682
Then the unit vector is: ( -0.731, 0.682)
8 * 24 feet = 192 sq feet per 5 hours
12* 36 = 432 square feet
432 is 2.25 times the area of 192 square feet
So, it takes 5 * 2.25 = 11.25 hours