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almond37 [142]
3 years ago
5

spaceship earth at epcot center in florida is a 180 ft geosphere. estimate its volume by assuming it is a sphere with a diameter

of 180 ft
Mathematics
1 answer:
rjkz [21]3 years ago
4 0
Volume of a sphere:
V = 4/3 · r³ π
Diameter: d = 180 ft, r = d/2, r = 90 ft
V = 4/3 · 90³ · 3.14
V = 4/3 · 729,000 · 3.14
V = 3,052,080 ft³
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a box contains 30 pencils. 37 student are each given 3 pencils. how many boxes of pencilsare required?​
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4

Step-by-step explanation:

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2 years ago
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Which of the following represents the zeros of f(x) = 2x3 − 5x2 − 28x + 15?
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\mathrm{Use\:the\:rational\:root\:theorem}

a_0=15,\:\quad a_n=2

\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:3,\:5,\:15,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1,\:2

\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:3,\:5,\:15}{1,\:2}

-\frac{3}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+3

-\frac{3}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+3

\mathrm{Compute\:}\frac{2x^3-5x^2-28x+15}{x+3}\mathrm{\:to\:get\:the\:rest\:of\:the\:eqution:\quad }2x^2-11x+5

=\left(x+3\right)\left(2x^2-11x+5\right)

Factor: 2x^2-11x+5

2x^2-11x+5=\left(2x^2-x\right)+\left(-10x+5\right)

=x\left(2x-1\right)-5\left(2x-1\right)

2x^3-5x^2-28x+15=\left(x+3\right)\left(x-5\right)\left(2x-1\right)

\left(x+3\right)\left(x-5\right)\left(2x-1\right)=0

\mathrm{Using\:the\:Zero\:Factor\:Principle:}

thus zeros of f(x) is

x=-3,\:x=5,\:x=\frac{1}{2}

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Step-by-step explanation:

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