Answer: Hello!
Let's start with the word TRISKAIDEKAPHOBIA wich has 17 letters (some of them repeat, but it does not matter in this problem)
We want to know how many permutations we can do with 17 letters: then think this way, Lets compose a word. The first letter of this word has 17 options, the second letter of the word has 16 options (you already took one of the set) the third letter of the word has 15 options, and so on.
The total number of permutations is the product of the number of options that you have for each letter, this is:
17*16*15*14*....*3*2*1 = 17! = 3.6e+14
(b) FLOCCINAUCINIHILIPILIFICATION now we have 30 letters in total, using the same reasoning as before, here we have 30! permutations; this is
30! = 2.65e+32
(c) PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS: now there are 47 letters.
then P = 47! = 2.59e+59
(d) DERMATOGLYPHICS: here are 18 letters, then:
p = 18! = 6.4e+15
Answer:
Step-by-step explanation:
= - 
× - ← multiply numerators/ denominators
= 
=
Answer:
the answer is 30
Step-by-step explanation:
cos60=1/2=>sinx=1/2=>x=30
Answer: 91.4%
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
Considering cylinder A,
Height = 8ft
Diameter = 8 ft
Radius = diameter/2 = 8/2 = 4ft
Therefore,
Volume = 3.14 × 4² × 8 = 401.92ft³
Considering cylinder B,
Height = 13ft
Diameter = 6 ft
Radius = diameter/2 = 6/2 = 3ft
Therefore,
Volume = 3.14 × 3² × 13 = 367.38ft³
The volume of Container A that would be left empty after container B is pumped into it is
367.38ft³
the percent of Container A that is empty after the pumping is complete is
367.38/401.92 × 100 = 91.4%
