Answer:
6
Step-by-step explanation:
Think of how many there are. im not sure if you put these into ratios or not...
like for number 3 think of how many numbers 1-9 are multiples of three
1 2 3 4 5 6 7 8 9
and once you get that number you make it out of 9 because there were 9 numbers
Example
3:9 3/9
for questions one and two its out of 52 and if you don't know how many clubs and hearts are in a deck you can look it up and put it in a ratio with 52
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
Let required distance be x km
24x
---- = 360
100
x = (100*360) / 24 = 1500 km Answer