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ch4aika [34]
2 years ago
15

jordan is cutting a 2 m by 1 1/4 m piece of rectangular paper into two pieces along its diagonal. find the area of each of the p

ieces
Mathematics
1 answer:
alexdok [17]2 years ago
5 0

Answer:

The area of a rectangle is 5/4

Step-by-step explanation:

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The balloon has a volume V dependent on its radius r:

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10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}

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\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}

so that at the moment the radius is 3 m, its area is increasing at a rate of

\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}

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