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3 years ago

why would an unpredictible flooding of the Nile cause political and social upheaval? (skill - causation free response)

Advanced Placement (AP)

1 answer:

Korolek [52]3 years ago

3 0

Probably because it would cause chaos in the area on what to do for a solution.

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The author of "Guns, Germs and Steel," is :

Levart [38]

Answer:

a. Jared Diamond

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3 years ago

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Surface Area of a can is 517.8 cm^2. Maximize the volume of this can using the measured surface area.

mafiozo [28]

Answer:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

Explanation:

Given

Object: Can (Cylinder)

$Surface\ Area = 517.8cm^2$

Required

Maximize the volume

The surface area is:

$S.A = 2\pi r^2 + 2\pi rh$

Substitute 517.8 for S.A

$517.8 = 2\pi r^2 + 2\pi rh$

Divide through by 2

$258.9 = \pi r^2 + \pi rh$

Factorize:

$258.9 = \pi r(r + h)$

Divide through by $\pi r$

$\frac{258.9}{\pi r} = r + h$

Make h the subject

$h = \frac{258.9}{\pi r} - r$ --- (1)

Volume (V) is calculated as:

$V = \pi r^2h$

Substitute (1) for h

$V = \pi r^2(\frac{258.9}{\pi r} - r)$

Open Bracket

$V = 258.9r - \pi r^3$

Differentiate V

$V' = 258.9 - 3\pi r^2$

Set V' to 0

$0 = 258.9 - 3\pi r^2$

Collect Like Terms

$3\pi r^2 = 258.9$

Divide through by 3

$\pi r^2 = 86.3$

Divide through by $\pi$

$r^2 = \frac{86.3}{\pi}$

$r^2 = \frac{86.3*7}{22}$

$r^2 = \frac{604.1}{22}$

Take square root of both sides

$r = \sqrt{\frac{604.1}{22}$

$r = 5.24$

Recall that:

$h = \frac{258.9}{\pi r} - r$

Substitute 5.24 for r

$h = \frac{258.9}{\pi * 5.24} - 5.24$

$h = \frac{258.9*7}{22 * 5.24} - 5.24$

$h = \frac{1812.3}{115.28} - 5.24$

$h = 15.72 - 5.24$

$h = 10.48$

Hence, the dimension that maximize the volume is:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

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3 years ago

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Answer:yes

Explanation:

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2 years ago

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Which of the following was a discovery of Edwin Hubble?

mrs_skeptik [129]

A. the existence of other galaxies

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A stitch in time saves nine. A penny saved is a penny earned. These sentences are... similar in meaning opposite in meaning neit

Liono4ka [1.6K]

Answer:

Neither the same nor the opposite

Explanation:

<em>A stitch in time saves nine</em> is an idiom meaning that it's better to deal with problems right away and spend less time doing that than later when more time is going to be needed.

<em>A penny saved is a penny earned </em>is an idiom meanings that saving money, even little by little, is as useful as earning more.

When we compare these two idioms, we can see that their meanings are neither the same nor the opposite.

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