First calculate the Area of MOP by using congruent altitudes.
(Area MOP)/(Area AOM) = PO/OA = (Area BOP)/(Area AOB)
Area MOP = (Area AOM)*(Area BOP)/(Area AOB) = (45)*(15/75) = 9.
Now, let Area CMP = x. And use two sets of triangles with congruent altitudes.
(Area CMP)/(Area BMP) = x/(9+15) = x/24 = (CP)/(BP).
(Area CAP)/(Area BAP) = (x+54)/90 = (CP)/(BP)
So,
(Area CMP)/(Area BMP) = (Area CAP)/(Area BAP)
or
x/24 = (x+54)/90
90x = 24 (x+54) = 24x + 1296
66x = 1296
x = 19 
SORRY I'M TOOOOOOO LATE...............
Answer:
16.2cm³
Step-by-step explanation:
V=r²h
=(9cm)²*20cm
=81cm²*20cm
=1620cm³ in decimal 16.20≈16.2
hope it's helpful
THANK YOU.
Step-by-step explanation:
Step 1 : Taking L.H.S(Left Hand Side) we have,
... equation (1)
Step 2 : As we know, 
Therefore,
by substituting value in equation (1), we have
Step 3 : As, L.H.S = R.H.S
Hence Proved,
Part A:
Given that 18% of the population is left handed, in a sample of 6 customers, we expect to see 0.18 x 6 = 1.08 lefties.
Part B:
Given that the proportion of lefties is 18% or 0.18 and the proportion of non-lefties is 100 - 18 = 82% or 0.82.
Since the sample size is 6, the sample standard deviation is given by:
