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.
So square feet is area which is legnth times width or area=lw or a=lw
width=w=2 2/4
2/4=1/2
w=2 1/2=5/2
a=lw
11 11/16=187/16
187/16=l(5/2)
multiply both sides by 2/5 to clear the fraction (1/2 times 2/1=2/2=1)
374/80=legnth
simplify
374/80=187/40=4 27/40=legnth
legnh must be less than 5 and 4 and 27/40 is less than 5 so it will fit
D. He will have $2,121.80.
After one year at 3% interst, $2000 becomes $2000 x 1.03 = $2,060.
During the second year, that $2060 x 1.03 becomes $2121.80
Answer:
ab=32
Step-by-step explanation:
ab:bc
4:3
abc= 56
4+3=7
56÷7=8
ab= 8x4=32
bc=8x3=24 #
