Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
Answer:
H = 11m
Step-by-step explanation:
As we know, volume = length * breadth/width * height
Given,
length = 6m
Breadth/width = 3 1/2 or 3.5
Height = ?
So, l * b * h = v
=> 6m * 3.5m * h = 231m
=> 21m * h = 231m
=> h = 231m /21m = 11m
Therefore, height = 11m / 11metres
Hope this helps
Answer:
I have already answered this in your last question:)
62%
of 25
'of' means multiplication.
Convert 62% to a decimal, divide it by 100(since percentages are parts of 100):
62/100 = 0.62
Multiply:
Answer:
The length of BC = 12
Step-by-step explanation:
c^2 = a^2 + b^2
15^2 = 9^2 + b^2
225 = 81 + b^2
b^2 = 225 - 81
b^2 = 144
b = 12
The length of BC is 12