Using,
1+cot^2 x = csc^2 x
1+ (5/12)^2 = csc^2 x
1+25/144 = csc^2 x = (144+25)/144 = 169/144
csc x = sqrt (169/144) = 13/12
sin x = 1/ csc x = 1/(13/12) = 12/13 is your answer :)
It would be 5 because 1+4
Answer:
x = -3
Step-by-step explanation:
4x - 8 = -4 (11 + 2x) (distribute the -4 to the numbers in the parenthesis)
4x - 8 = -44 + -8x (add 8x on both sides)
12x - 8 = -44 (add 8 on both sides)
12x = -36 (divide both sides by 12)
x = -3
Hope this helps ya!!
Answer:
The height of the cone is ![4\ in](https://tex.z-dn.net/?f=4%5C%20in)
Step-by-step explanation:
step 1
Find the volume of the cylinder
The volume of the cylinder is equal to
![V=\pi (r)^{2}(h)](https://tex.z-dn.net/?f=V%3D%5Cpi%20%28r%29%5E%7B2%7D%28h%29)
substitute the values
![V=\pi (2)^{2}(3)=12\pi\ in^{3}](https://tex.z-dn.net/?f=V%3D%5Cpi%20%282%29%5E%7B2%7D%283%29%3D12%5Cpi%5C%20in%5E%7B3%7D)
step 2
Find the height of the cone
The volume of the cone is equal to
![V=(1/3)\pi (r)^{2}(h)](https://tex.z-dn.net/?f=V%3D%281%2F3%29%5Cpi%20%28r%29%5E%7B2%7D%28h%29)
Remember that the volume of the cone is equal to the volume of the cylinder
substitute the given values and solve for h
![12\pi=(1/3)\pi (3)^{2}(h)](https://tex.z-dn.net/?f=12%5Cpi%3D%281%2F3%29%5Cpi%20%283%29%5E%7B2%7D%28h%29)
Simplify
![36=9(h)](https://tex.z-dn.net/?f=36%3D9%28h%29)
![h=36/9=4\ in](https://tex.z-dn.net/?f=h%3D36%2F9%3D4%5C%20in)