Answer:
0.4 m = 40 cm
Step-by-step explanation:
You want the height of a model water tower with a volume of 0.1 liters that models a city water tower 40 m high with a volume of 100,000 liters.
<h3>Scale factor</h3>
The scale factor for volume is the cube of the scale factor for linear dimensions, such as height. Conversely, the scale factor for height is the cube root of the scale factor for volume.
This lets us write a proportion for the height of the model tower:
![\dfrac{h}{40\text{ m}}=\sqrt[3]{\dfrac{0.1\text{ L}}{100000\text{ L}}}\\\\h=(40\text{ m})\sqrt[3]{10^{-6}}=\boxed{0.40\text{ m}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bh%7D%7B40%5Ctext%7B%20m%7D%7D%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B0.1%5Ctext%7B%20L%7D%7D%7B100000%5Ctext%7B%20L%7D%7D%7D%5C%5C%5C%5Ch%3D%2840%5Ctext%7B%20m%7D%29%5Csqrt%5B3%5D%7B10%5E%7B-6%7D%7D%3D%5Cboxed%7B0.40%5Ctext%7B%20m%7D%7D)
Logan should make his tower 0.4 meters, or 40 cm high.
38,71,71
Step-by-step explanation:
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Answer:
it depends when you get out of school if you get out of school june 15th is around next week or so
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
(a) 9.9321*10^{-11}
(b) 6.0498*10^{-11}
(c) 7.7120^{-11}
(d) 1.6417 times more probable
Step-by-step explanation:
(a) The probability of winning a 6/49 lottery is given by:
(b) The probability of winning a 6/53 lottery is given by:
(c) The probability of winning a 6/51 lottery is given by:
(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:
It is 1.6417 times more probable.
