Find the slope of a pipe that slopes down 1/5 inch per foot.
2 answers:
Answer:
![-\dfrac{1}{60}](https://tex.z-dn.net/?f=-%5Cdfrac%7B1%7D%7B60%7D)
Step-by-step explanation:
![\text{Rate }=-\dfrac{1}{5} in/foot](https://tex.z-dn.net/?f=%5Ctext%7BRate%20%7D%3D-%5Cdfrac%7B1%7D%7B5%7D%20in%2Ffoot%20)
It is negative because slopes down.
Slope is dimensionless quantity.
So, change the rate in/foot dimensionless.
As we know, 1 foot = 12 in
![\text{Slope }=-\dfrac{1\text{ in}}{5\text{ foot}}\times \dfrac{1\text{ foot}}{12\text{ in}}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%20%7D%3D-%5Cdfrac%7B1%5Ctext%7B%20in%7D%7D%7B5%5Ctext%7B%20foot%7D%7D%5Ctimes%20%5Cdfrac%7B1%5Ctext%7B%20foot%7D%7D%7B12%5Ctext%7B%20in%7D%7D)
cancel in and foot from top and bottom
![\text{Slope }=-\dfrac{1}{5}\times \dfrac{1}{12}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%20%7D%3D-%5Cdfrac%7B1%7D%7B5%7D%5Ctimes%20%5Cdfrac%7B1%7D%7B12%7D)
![\text{Slope }=-\dfrac{1}{5\times 12}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%20%7D%3D-%5Cdfrac%7B1%7D%7B5%5Ctimes%2012%7D)
![\text{Slope }=-\dfrac{1}{60}](https://tex.z-dn.net/?f=%5Ctext%7BSlope%20%7D%3D-%5Cdfrac%7B1%7D%7B60%7D)
Hence, the slope is ![-\dfrac{1}{60}](https://tex.z-dn.net/?f=-%5Cdfrac%7B1%7D%7B60%7D)
Answer:
-1/60
Step-by-step explanation:
The slope is "down 1/5 inch per foot".
As a unitless fraction, it is ...
(-1/5 in)/(12 in) = -1/60
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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