Answer:
see explanation
Step-by-step explanation:
Using the identity
cosecx =
and the exact values
cos45° =
, sin30° = 
Given
cos45° × sin30° + cosec30°
=
×
+ 
=
+ 2
=
+ 
=
(
+ 8 ) ← exact value
≈2.354 ( 3 dec. places )
AB = 56 because the bigger triangle is 2 times the smaller one.
Answer:
9:34 pm
Step-by-step explanation:
First:
8:17 am
Go back 12 hours
8:17 pm
Round to 8:20
(keep the 3) Minus 43-17=26(3 is in this)
Therefore, 9:34 pm
Sorry if this doesn't make sense, it's hard to explain haha
Answer:
This proof can be done by contradiction.
Let us assume that 2 - √2 is rational number.
So, by the definition of rational number, we can write it as

where a & b are any integer.
⇒ 
Since, a and b are integers
is also rational.
and therefore √2 is rational number.
This contradicts the fact that √2 is irrational number.
Hence our assumption that 2 - √2 is rational number is false.
Therefore, 2 - √2 is irrational number.