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 )
Anna earned 22 points on her last test. If there were 40 possible points, what was her percent grade?
1 answer:
Answer:
55%
Step-by-step explanation:
Since Anna earned 22 points, and there was a total of 40 points, this means that she scored 22 out of 40 points. You can simplify this by dividing the denominator and numerator by 2. Then, you can multiply both the numerator and denominator by 5 to get a number out of 100.
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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.