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LuckyWell [14K]
2 years ago
15

Gina wants to ride bikes and the waves at Flagship Pier in Galveston. She rents a surfboard and a bicycle for 2 hours each. The

surfboard costs $25 per hour, and she spends $80 total. How much per hour does the bicycle cost?
Mathematics
1 answer:
Pachacha [2.7K]2 years ago
6 0
Surfboard= 25 per hour, she rent it for 2 hour so now she spent $50 on the surfboard .. now subtract how much she spends all together and how much she spent so far (80-50=30) now divide that by 2 (30/2=15) so for each hour she spends 15 for the bicycle..... 
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Answer:

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Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

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Answer:

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

Step-by-step explanation:

Given that :

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we know that radius r is always twice the   diameter d

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Given that :

the shape of a cone whose base diameter and height are always equal.

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V = \dfrac{1}{12} \pi h^3

V = \dfrac{ \pi h^3}{12}

Taking the differentiation of volume V with respect to time t; we have:

\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}

\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}

we know that:

\dfrac{dV}{dt}= 20 \ ft^3/min

So;we have:

20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}

20= 56.25 \pi \times \dfrac{dh}{dt}

\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

The height of the pile is increasing at the rate of  \mathbf{ \dfrac{20}{56.25 \pi}   \ \ \ \ \  ft/min}

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