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:
432 crayons
Step-by-step explanation:
convert 2 1/4 to 9/4
1 case=24 boxes=8 crayon in each box
24*8=192 for 1 case
9/4*192=432
The center received 432 crayons
Step-by-step explanation:
as diameter=50 yards
radius (r)=50/2=25 yards
ar of circle = π r r
π=22/7
22÷7×25×25
1974.285714
Since the length is 10 in. You must multiply it by
and then multiply by
. The reason for this is because if you divide ten by 5 it will be 2, then if you divide 2 by 2 it will be 1.
Your answer is going to be 5x^2+6 because if you simplify and do x(5)x +6 it will equal to 5x^2 + 6
Hope this helped!!
