Answer:
\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]
Step-by-step explanation:
The first one.
They are equivalent
30:12 => 5:2
40:16 => 5:2
hope this helsp
Answer- 1,200
Explanation- the formula of volume is length x width x height. So you just multiply those three numbers. Hope this helped!
The radius of cone is 2 inches
<em><u>Solution:</u></em>
<em><u>The volume of cone is given by formula:</u></em>

Where,
"V" is the volume of cone
"r" and "h" are the radius and height of cone respectively
Given that, volume of a cone is 16 pi cubic inches
Its height is 12 inches
Therefore, we get,
V =
cubic inches
h = 12 inches
r = ?
<em><u>Substituting the values in formula, we get</u></em>

Since, radius cannot be negative, ignore r = -2
Thus radius of cone is 2 inches
Answer:
5/6
Step-by-step explanation:
The "first" dice can land on any number, so there are 6 choices. The "second" can not be the same number as the first one. So there are 5 choices. We multiply to get 6*5=30 ways to roll a different number. There are 6*6 total ways so the probability is 30/36 which simplifies to 5/6.