Given:
radius of cone = r
height of cone = h
radius of cylinder = r
height of cylinder = h
slant height of cone = l
Solution
The lateral area (A) of a cone can be found using the formula:
![A\text{ = }\pi rl](https://tex.z-dn.net/?f=A%5Ctext%7B%20%3D%20%7D%5Cpi%20rl)
where r is the radius and l is the slant height
The lateral area (A) of a cylinder can be found using the formula:
![A\text{ = 2}\pi rh](https://tex.z-dn.net/?f=A%5Ctext%7B%20%3D%202%7D%5Cpi%20rh)
The ratio of the lateral area of the cone to the lateral area of the cylinder is:
![\pi rl\text{ : 2}\pi rh](https://tex.z-dn.net/?f=%5Cpi%20rl%5Ctext%7B%20%3A%202%7D%5Cpi%20rh)
Canceling out, we have:
![\begin{gathered} =\frac{\pi rl}{2\pi rh} \\ =\text{ }\frac{l}{2h}\text{ or l:2h} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Cfrac%7B%5Cpi%20rl%7D%7B2%5Cpi%20rh%7D%20%5C%5C%20%3D%5Ctext%7B%20%7D%5Cfrac%7Bl%7D%7B2h%7D%5Ctext%7B%20%20or%20l%3A2h%7D%20%5Cend%7Bgathered%7D)
Hence the Answer is option B
Answer:
Note that it is not a perfectly elastic result so it is <em>irrational</em><em> </em>
Answer:
.id.k
Step-by-step explanation:
Answer:
![\displaystyle a) \: {x}^{ \circ} = 21.8 ^{ \circ}](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20a%29%20%5C%3A%20%7Bx%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%2021.8%20%5E%7B%20%5Ccirc%7D%20)
Step-by-step explanation:
we are given opposite and adjacent
we want to figure out x°
remember that,
![\displaystyle \: \tan( \theta) = \frac{opp}{adj}](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20%5C%3A%20%5Ctan%28%20%5Ctheta%29%20%20%3D%20%20%5Cfrac%7Bopp%7D%7Badj%7D%20)
where our opp is 5 and adj is 12.5
let
be x°
so
![\displaystyle \: \tan( {x}^{ \circ} ) = \frac{5}{12.5}](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20%5C%3A%20%5Ctan%28%20%20%7Bx%7D%5E%7B%20%5Ccirc%7D%20%29%20%20%3D%20%20%5Cfrac%7B5%7D%7B12.5%7D%20)
![\displaystyle \: {x}^{ \circ} = \arctan \left( \frac{5}{12.5} \right)](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20%5C%3A%20%7Bx%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%20%5Carctan%20%5Cleft%28%20%5Cfrac%7B5%7D%7B12.5%7D%20%20%5Cright%29)
by using calculator
![\displaystyle \: {x}^{ \circ} = 21.8](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20%5C%3A%20%7Bx%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%2021.8)
hence,
our answer is a
Answer:
(-1,-2)
Step-by-step explanation:
Generally, the absolute value function can be expressed like so:
f(x) = y = a|x-h|+k, where vertex: (h,k)
Rewriting our function here ever so slightly gives us: y = 3|x-(-1)|+(-2)
So the vertex is at (-1,-2)