childcare center has three playground areas: one square 32 feet on each side, one circular with a 30 feet diameter and one rectangular 30 feet wide and 45 feet long. To decrease injuries from falls, they want to spread recycled rubberized mulch to a depth of 6 inches. The mulch is $12.50 per cubic yard plus $25.00 delivery charge.a)$740b)$1,310c)$8,575d)$25,750
Question
Answer:
Volume= length*width*height = Area * height square region: A= 32^2= 1024
circle region: A= pi*radius^2= pi*(diameter/2)^2= 15^2 pi= 225pi
rectangle region: A= 30*45= 1350
Volume= (1024+ 1350 +225pi) *6 = 14,244 +1350pi
The units are ft^3
1 yard = 3 feet
yard^3= 27 ft^3
ft^3= 1/(27y^3)
Cost = price / unit *Volume +surcharge
Cost= 12.50/y^3 *(14,244 +1350pi)ft^3 +25
= 12.50/27 *(14,244 +1350pi) +25
~ $8583
solved
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10 months ago
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