Area = 1/2 base x height so you would find the area of one of the 3 larger sides which would be 12.2x6.1=74.42 then divide it by 2 which is 37.21. Then multiply it by 3 because of the other sides that are the same which gets you 111.63. Then you find the area of the bottom triangle by doing 5.3x6.1= 32.33 then divide it by 2 which is 16.165. Then you add both numbers together and you get 127.795. Answer is 127.795
Find the perpendicular line then find the intersection then find the point
perpendicular lines have slopes that are perpendicular
the slopes multiply bo -1
y=mx+b
m=slope
y=2x-3
2 is slope
2 times what=-1
what=-1/2
the equation is
y-3=-1/2(x-8) or
y=(-1/2)x+7
find intersection
at (4,5)
distance bwetweeen (8,3) and (4,5)
D=
D=
D=
D=

D=2√5
distance= 2√5
the answer is 8=8
Step-by-step explanation:
it just is
Answer:
Events E and F are independent.
Step-by-step explanation:
E = {multiple of 3} = {3, 6, 9, 12}
P(E) = 4/12
F = {even number} = {2, 4, 6, 8. 10, 12}
P(F) = 6/12
E and F = {even and multiple of 3} = {6, 12}
P(E∩F) = 2/12
In order for two events to be independent the following relationship must be true:

Testing this property:

The relationship holds true, thus events E and F are independent.