Answer:
Step-by-step explanation:
the whole bag is made of 5 orange +4blue+3 green= 12 marbles
P of orange than green = P orange * P green = 5/12 * 3/12 = 15/144 = 5/48
you multiply when the events depend on each other to happen, so for the orange and then green to happen you need the orange and also the green
Do you already know how to do it, or checking your answer?
Answer: Archimedes go to sleep at 8.32 metres away from the rock.
Step-by-step explanation:
Given that the rock beside which he slept was 5 meters tall
Height h = 5m
Angle Ø = 31 degree
To get distance x away from the rock, we will use trigonometry function. SohCahToa
TanØ = opposite/adjacent
Tan 31 = 5/x
x = 5/tan31
x = 8.32m
Notice that 56° = 45° + 11°. Then
tan(56°) = sin(56°) / cos(56°)
… = sin(45° + 11°) / cos(45° + 11°)
… = (sin(45°) cos(11°) + cos(45°) sin(11°)) / (cos(45°) cos(11°) - sin(45°) sin(11°))
Recall that sin(45°) = cos(45°) = 1/√2, so we can cancel each term involving 45° :
tan(56°) = (cos(11°) + sin(11°)) / (cos(11°) - sin(11°))
