The answer for this question is c
Answer:
x = 10√3
Step-by-step explanation:
Because of the right angles, we can use Pythagoras
30² - x² = y² (a) Largest triangle
y² - 20² = h² (b) Medium triangle
substitute y² from (a) into (b)
30² - x² - 20² = h²
500 - x² = h² (d)
x² - h² = (30 - 20)² (c) smallest triangle
substitute h² from (d) into (c)
x² - (500 - x²) = 100
2x² = 600
x² = 300
x = 10√3
Hello!
Due to the definition of the Alternate Interior Angles Theorem, (x+23)+(x+54)=180 degrees:
x + 23 + x + 54 = 180
2x + 77 = 180
2x = 103
x = approximately 52 degrees or exactly 51.5 degrees
I hope this helps :))
Since
(density = mass/volume), we can get the mass/weight of the liquid by integrating the density
over the interior of the tank. This is done with the integral

which is more readily computed in cylindrical coordinates as

Answer:

Step-by-step explanation:
First, find the probability of him pulling out a book.
There are 11 objects in total, and there are 4 books.
So, the probability of pulling out a book is 
Next, find the probability of him pulling out a DVD after.
Since a book was taken out, there are only 10 objects left. There are 5 DVDs.
So, the probability of pulling out a DVD is
, or simplified to 
To find the probability that this happens in order, multiply the probabilities:
x 
= 
So, the probability is 