Answer:
y = 24
angle V = 67
as a 4 sided shape, the angles all have to add up to 360 degrees.
we already have the answers for R, 120, and B, 53. We have 187 degrees left to work with.
Based of the information the tics on the sides of the figure gives us, we know that angle P and R are the same! First (just for fun, this isn't needed) we'll find X.
(x+95) = 120
-95 -95
x = 25
We know 3/4 angles now, so by subtracting their sum from 360, we'll find angle V!
360 - 53 -120 - 120 = 67
Angle V is 67
Now to find y!
(2y+19)=67
-19 -19
2y = 48
/2 /2
y = 24
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
I believe the answer is B
Answer:
There is an 8.22% probability that a randomly selected person has a birthday in November.
Step-by-step explanation:
The theoretical method to find the probability is the division of the number of desired outcomes by the number of total outcomes.
A randomly selected person has a birthday in November
There are 365 days in a year, so the number of total outcomes is 365.
There are 30 days in november, so the number of desired outcomes is 30.
So the probability is
There is an 8.22% probability that a randomly selected person has a birthday in November.