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podryga [215]
3 years ago
13

Greek city-states began to form in 800 B.C. and in 200 A.D, Christians began getting persecuted. How many years passed between t

he time that Greek city-states began to form and the persecution of Christians began?
Mathematics
1 answer:
asambeis [7]3 years ago
6 0

Answer: 1000 years

Step-by-step explanation:

-Greek city-states began to form in 800 B.C i.e 800 years Before Christ appearance

- up till 200 A.D i.e 200 years of After Christ disappearance

Hence, the number of years between the time that Greek city-states began to form and the persecution of Christians began is equal to the sum of years Greek city States started formation and Year persecution began

i.e 800 BC + 200 A.D = 1000 Years

Thus, the number of years of that passed was 1000 years

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You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t
rosijanka [135]

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Height = 12cm

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Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

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Required

Determine the values of h and r that uses the least amount of material

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V = \pi r^2h\\

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432\pi = \pi r^2h

Divide through by π

432 = r^2h

Make h the subject:

h = \frac{432}{r^2}

Surface Area (A) of a cylinder is calculated as thus:

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A=2\pi (\frac{432}{r})+2\pi r^2

Factorize:

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To minimize, we have to differentiate both sides and set A' = 0

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Divide through by 2

r^3 = 216

Take cube roots of both sides

r = \sqrt[3]{216}

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h = \frac{432}{r^2}

h = \frac{432}{6^2}

h = \frac{432}{36}

h = 12

Hence, the dimension that requires the least amount of material is when

Height = 12cm

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