assuming that all the coins are homogeneous, the probability of each coin be on heads is 1/2. so:
Answer:
21
Step-by-step explanation:
Given that :
Number of rooms = 3
Variants of paint available = 7
Since the rooms will be painted with different colors :
Hence,
Number of possible paintings for kitchen = 7 (7 different paints)
This also applies to the other 2 rooms
Hence,
We have 3 * 7 = 21 color arrangements possible.
There is a little-known theorem to solve this problem.
The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.
See the attached triangles for cases 1 and 2. Let x be the length of the third side.
Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5 => x=7.6*3/5=
4.56 cm
Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=
12.67 cmThe theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.