1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
Answer:
Step-by-step explanation:
Given that Amir is sorting his stamp collection. He has made a chart of what countries the stamps are from
He got results as
France 1/3
Morocco 5/12
Spain 1/6
To find out what fraction of Amir's stamps are from France, Morocco, or Spain, we have to simply add the three as there is common element between any two pairs
Hence answer is
