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18.12.2020 •
Mathematics
Which of these pizza slices gives the best
value (the most pizza per dollar spent)?
A. a slice with a radius of 12 inches. central angle of 30 degrees, and a
cost of $3 per slice
B. a slice with a radius of 8 inches. central angle of 45 degrees. and a
cost of $2 per slice
C. a slice with a radius of 6 inches. central angle of 60 degrees, and a
cost of $2 per slice
D. a slice with a radius of 6 inches, central angle of 45 degrees, and a
cost of $1 per slice
Solved
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Ответ:
B. a slice with a radius of 8 inches. central angle of 45 degrees. and a
cost of $2 per slice
Step-by-step explanation:
brainest plz
Ответ:
Since the volume is 40 ft³,
h = 40/b²
area of bottom = area of top = b² ft²
area of one side = bh
cost C = 2·4b² + 4·7bh
= 8b² + 28b(40/b²)
= 8b² + 1120/b
dC/db = 16b - 1120/b²
min cost when dC/db = 0
16b = 1120/b²
b = ∛70 ≅ 4.12 ft
h = 40/b² ≅ 2.36 ft