Answer:
Find the cost of supplies charged by the instructor for each student.
expand by multiplying <span><span>√<span>7x</span></span>⋅<span>√x</span></span> and <span><span>√<span>7x</span></span>⋅7<span>√7</span></span>
<span><span>√<span>7x</span></span><span>(<span>√x</span>−7<span>√7</span>)</span>=<span>√<span>7x</span></span>⋅<span>√x</span>−<span>√<span>7x</span></span>⋅7<span>√7</span></span>
<span>You can make√<span>7x</span></span> into <span><span>√7</span>⋅<span>√x</span></span>
<span><span>=<span>√7</span>⋅<span><span>√x</span>⋅<span>√x</span></span>−<span>√7</span>⋅<span>√x</span>⋅7⋅<span>√7</span></span><span>=<span>√7</span>⋅<span><span>(<span>√x</span>)</span>2</span>−<span><span>(<span>√7</span>)</span>2</span>⋅<span>√x</span>⋅7</span></span>
since squaring and square roots are opposite, they cancel
<span><span>=<span>√7</span>⋅x−7⋅<span>√x</span>⋅7</span>=x√7−49√x
I hope the square root symbols worked. I had to copy and paste from word. Hopefully this is what you needed!
</span>
Yes,standard form can be pretty difficult at some points
I think the answer is 4:16 or 1:4. Sorry if it's wrong.
Answer:
Lateral surface area of the cylinder= ![376.8feet^2](https://tex.z-dn.net/?f=376.8feet%5E2)
Step-by-step explanation:
Lateral surface area of the cylinder is the area of the side wall excluding its top and the bottom:
Radius=10 feet
Height=6 feet
Lateral surface area of the cylinder = ![2\pi rh](https://tex.z-dn.net/?f=2%5Cpi%20rh)
As, ![\pi =\frac{22}{7}= 3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%5Cfrac%7B22%7D%7B7%7D%3D%203.14)
Putting the values in the formula:
L.S.A of the cylinder= ![2*3.14*10*6](https://tex.z-dn.net/?f=2%2A3.14%2A10%2A6)
![=2*3.14*60\\\\=120*3.14\\\\=376.8feet^2](https://tex.z-dn.net/?f=%3D2%2A3.14%2A60%5C%5C%5C%5C%3D120%2A3.14%5C%5C%5C%5C%3D376.8feet%5E2)
Lateral surface area of the cylinder= ![376.8feet^2](https://tex.z-dn.net/?f=376.8feet%5E2)