Answer: 6.5 feets
Step-by-step explanation:
The model of the spaceship was made to a scale of 1:16. Assuming the same unit of measurement used in the actual spaceship was also used in the model space ship and it was in feets. This means 1 foot on the model spaceship represented 16 feets on the actual spaceship.
In the movie, the ship is supposed to be 104 feet long. Let x be the corresponding length on the model. Therefore,
1:16 = x:104
1/16 = x/104
16x = 104
x = 104/16 = 6.5feets
So the length of the model is 6.5 feets
Answer:
2 7/8
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:
14/3 - 4 and 2/3
35/8- 4 and 3/8
51/12- 4 and 3/12
22/5- 4 and 2/5
Step-by-step explanation: