Answer:
For a scientific experiment, a physicist must make sure that the temperature of metal at 0° C gets no colder than -80° C. The physicist changes the metal’s temperature at a steady rate of -4° C per hour. For how long can the physicists change the temperature?
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
I will help people get points!
Answer:
the radius of the base is equal to ![x=2\sqrt[3]{\frac{105}{\pi } }](https://tex.z-dn.net/?f=x%3D2%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cpi%20%7D%20%7D)
And the height is equal to:
![y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B840%7D%7B%5Cpi%282%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cpi%7D%7D%29%5E%7B2%7D%20%7D)
Step-by-step explanation:
We write the volume function
where x is the radius of the base and y is the height of the cylinder
The surface of a cylinder is given by
on the interval from 0 to infinity
We now determine the critical values by differentiating and making the equation equal to 0
This equation have 2 complex solutions and one real solution
For x=0 and infinity the equation goes to infinity also so the radius of the base is equal to
And the height is equal to:
![y=\frac{840}{\pi (2\sqrt[3]{\frac{105}{\pi } })^{2} }](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B840%7D%7B%5Cpi%20%282%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cpi%20%7D%20%7D%29%5E%7B2%7D%20%7D)
No, isoceles triangles have 2 equivalent angles corresponding to their sides. Since there are 2 angle measures of 39 degrees, there are 2 equivalent sides corresponding
