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AleksandrR [38]
3 years ago
15

A pyramid art installation has a surface area of 24 m2. An artist creates replicas with scale factors of 1/8, 1/10, and 1/12. Wh

at is the surface area of each replica?
Mathematics
1 answer:
Hatshy [7]3 years ago
5 0

Answer:

The replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2 respectively.

Step-by-step explanation:

Given that a pyramid art installation has a surface area of 24 m2, and an artist creates replicas with scale factors of 1/8, 1/10, and 1/12, to determine what is the surface area of each replica, the following calculation has to be done:

24 x 1/8 = 3

24 x 1/10 = 2.4

24 x 1/12 = 2

Therefore, the replicas will have a surface area of 3 m2, 2.4 m2 and 2 m2 respectively.

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NeTakaya

Answer:

The minimum cost is $9,105

Step-by-step explanation:

<em>To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it</em>

∵ C(x) = 0.5x² - 130x + 17,555

- Differentiate it with respect to x

∴ C'(x) = (0.5)(2)x - 130(1) + 0

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Equate C' by 0 to find x

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∴ x = 130

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Substitute the value of x in C(x) to find the minimum unit cost

∵ C(130) = 0.5(130)² - 130(130) + 17,555

∴ C(130) = 9,105

∵ C(130) is the minimum cost

∴ The minimum cost is $9,105

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To find mean you must add up the numbers. Then divide the total and the total numbers there are.

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