A gardener uses a rainwater collection barrel (storage container) shaped like a right cylinder to store water for his plants. Th
e barrel has a radius of 1.5 feet and a height of 3.5 feet. The gardener plans to build a small square fence so that the barrel just fits inside the square fence as shown here.
Which of the following is the best approximation of the perimeter of the fence the gardener will build?
A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet
Which of the following is the best approximation of the perimeter of the fence the gardener will build?
A. 14 feet
B. 9 feet
C. 12 feet
D. 6 feet
1 answer:
Answer:
Option C
Step-by-step explanation:
Barrel (storage container) is enclosed in a small square fence.
Since, barrel is touching the surfaces from four sides of the cylindrical barrel.
Length of each side of the square fence = Diameter of the barrel
= 2(radius of the barrel)
= 2(1.5)
= 3 feet
Perimeter of a square = 4(Side of a square)
= 4(3)
= 12 feet
Therefore, Option C will be the correct option.
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Answer:
• zero: -4, -4/3, 7
• positive: -4 < x < -4/3 . . . or 7 < x
• negative: x < -4 . . . or -4/3 < x < 7
Step-by-step explanation:
Zeros of the function are at x=-4, -4/3, +7. These are the values that make each of the individual factors be zero. For example, x-7=0 when x=7.
The function will be negative for x-values left of an odd number of zeros. It will be positive for x-values left of an even number of zeros (including left of no zeros, which is to say right of all zeros). This is because the sign of the factor giving rise to the zero changes for x-values on either side of that zero. (This is not true for zeros with even multiplicity, as the sign does not change at those.)
