Tan, since you only have the two smaller sides
40% is like 40/100 which simplifies to 2/5
Answer:
3.63 * 10^19
Step-by-step explanation:
Given that :
Number of choices to select = 12
Category available :
Blues - 14
Country - 25
Disco - 21
To select an equal number of song for each category ; then 4 songs will be selected from each :
Using combination :
(14C4 * 25C4 * 21C4)
Since the order matters for the 12 selected songs ; it thus requires 12 permutation
Thus ;
(14C4 * 25C4 * 21C4) * 12!
nCr = n! / (n-r)!r!
Using calculator;
14C4 = 1001 ;
25C4 = 12650
21C4 = 5985
12! = 479001600
Hence,
(1001 * 12650 * 5985) * 479001600
= 36301596217286400000
=3.63 * 10^19
To calculate this you need to imagine triangle which points are:
boat
Top of lighthouse
Bottom of lighthouse
That triangle has 90 degrees angle at bottom of lighthouse. That means that we can use trigonometry to determine length between boat and bottom of lighthouse
tan(25) = 89/x
x = 89/tan(25)
x = 190.86
after rounding, the answer is D, 191 feet
Answer: 624 Square meters
Step-by-step explanation: