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Genrish500 [490]

3 years ago

9

John felt bad about hitting his little sister, but he was so vexed when he saw her playing with his only lance power action figu

re that he lost his temper.

Advanced Placement (AP)

2 answers:

enyata [817]3 years ago

6 0

<span>frustrated with something or </span>aggravated

Aloiza [94]3 years ago

3 0

Vexed means angry, annoyed, or frustrated

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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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Sitting Bull's example in the fifth paragraph illustrates which feature of Lakota culture?

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Answer:

The answer is B

Explanation:

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Is it wrong if someone hates there mom because she wasn't there for her almost her whole life?

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Answer:

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Explanation:

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21. Oedipus makes an important point about becoming king of Thebes. What is it?

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Answer:

Prior to the start of Oedipus Rex, Oedipus has become the king of Thebes while unwittingly fulfilling a prophecy that he would kill his father, Laius (the previous king), and marry his mother, Jocasta (whom Oedipus took as his queen after solving the riddle of the Sphinx).

Explanation:

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Answer:

Total water required per year = 73,000 gallon

Explanation:

Given:

Number of showers = 4

Average showers use = 10 minutes

Flow rate = 5 gallon per minute

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Total water required per year

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Total water required per year = Number of showers × Average showers use × Flow rate × 365

Total water required per year = 4 × 10 × 5 gallon × 365

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