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AlekseyPX
3 years ago
15

On March 24, 1989, the Exxon Valdez oil tanker ran aground and leaked millions of gallons of oil into Prince William Sound. The

spill covered approximately 11,000 square miles of ocean. The oil spread out in a circular pattern and the radius increased by 0.10 mph. Use π = 3.14. At this rate, how many hours did it take for oil to cover the area?
Mathematics
2 answers:
Maslowich3 years ago
8 0

Answer:

Given the value of pi (π) = 3.14

Given the speed of Radius = 0.10 mph

Given the total area = 11000 square miles.

To find = the time.

Step-by-step explanation:

Since the oil spill in the ocean and spread in a circular pattern. So the total the spilled area = 11000 square miles.

The speed of the radius at which is increase = 0.10 mph

Given the value of pi (π)  = 3.14

Now we have to find the total hours consumed to cover the area or the spilled over the area.

First, find the radius and this radius will be the distance. Then divide the distance with speed to find the time taken.

Area  = 2 π r^2

11000 = 2 ×3.14 × r^2

r = 41.85 m

Now find the time.

Time taken to spill the oil =  41.85 / 0.10 = 418.52 hours

serg [7]3 years ago
6 0

Answer: 592 hours

Step-by-step explanation:

Just did on edgunity

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x=-1,\:x=-7,\:x=i,\:x=-i

Step-by-step explanation:

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x^4+8x^3+8x^2+8x+7

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\mathrm{Use\:the\:rational\:root\:theorem}

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\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:7}{1}

-\frac{1}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+1

=\left(x+1\right)\frac{x^4+8x^3+8x^2+8x+7}{x+1}...[A]

Solving

\frac{x^4+8x^3+8x^2+8x+7}{x+1}

=x^3+7x^2+x+7

Putting \frac{x^4+8x^3+8x^2+8x+7}{x+1} =  x^3+7x^2+x+7 in equation [A]

So,

\left(x+1\right)\frac{x^4+8x^3+8x^2+8x+7}{x+1}...[A]

=\left(x+1\right)x^3+7x^2+x+7

As

x^3+7x^2+x+7=\left(x+7\right)\left(x^2+1\right)

So,

Equation [A] becomes

=\left(x+1\right)\left(x+7\right)\left(x^2+1\right)

So,  the polynomial equation becomes

\left(x+1\right)\left(x+7\right)\left(x^2+1\right)=0

\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\mathrm{Solve\:}\:x+1=0:\quad x=-1

\mathrm{Solve\:}\:x+7=0:\quad x=-7

\mathrm{Solve\:}\:x^2+1=0:\quad x=i,\:x=-i

\mathrm{The\:solutions\:are}

x=-1,\:x=-7,\:x=i,\:x=-i

Keywords: polynomial equation

Learn polynomial equation from brainly.com/question/12240569

#learnwithBrainly

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