Answer:
1.25
Step-by-step explanation:
use the equation given
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
Answer:
x = 10
, y = 10
Step-by-step explanation:
using the sine and cosine ratios in the right triangle and the exact values
cos60° =
, sin60° =
, then
cos60° =
=
=
( cross- multiply )
2x = 20
( divide both sides by 2 )
x = 10
and
sin60° =
=
=
( cross- multiply )
2y = 20
×
= 20
( divide both sides by 2 )
y = 10
9514 1404 393
Answer:
- square root of 5 is approximately 1 less than square root of 10
- square root of 10 is between 3.1 and 3.2
- square root of 10 is less than 3.5
Step-by-step explanation:
√5 and √10 are plotted on the number line shown below.
Rounded to 1 decimal place, √5 ≈ 2.2 and √10 ≈ 3.2, so it could be said they differ by about 1 unit. The above answer choices are the ones that match the graph.
Answer:
A or c!
Step-by-step explanation: