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AfilCa [17]
3 years ago
10

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 9 inches, a width of 3 inches, and a h

eight of 3 1/2
inches. What is the surface area?
Mathematics
1 answer:
Over [174]3 years ago
3 0

Answer:

Area = 138in^2

Step-by-step explanation:

Given

L = 9; W =3; H =3\frac{1}{2}

Required

The surface area

This is calculated as:

Area = 2(LW + LH + WH)

So:

Area = 2(9*3 + 9*3\frac{1}{2} + 3*3\frac{1}{2})

Area = 2(27 + 31\frac{1}{2} + 10\frac{1}{2})

Area = 2*69

Area = 138in^2

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m² + 4m - 21 = 0

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m = \frac{-4 +/- \sqrt{4^{2} - 4 X 1 X (-21))} }{2 X 1}\\ = \frac{-4 +/- \sqrt{16 + 84} }{2}\\= \frac{-4 +/- \sqrt{100} }{2}\\= \frac{-4 +/- 10 }{2}\\= -2 +/- 5\\= -2 + 5 or -2 -5\\= 3 or -7

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y = Ae^{m_{1} t} + Be^{m_{2} t}

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y = Ae^{3t} + Be^{-7t}

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y'(1) = 3Ae^{3X1} - 7Be^{-7X1}\\0 = 3Ae^{3} - 7Be^{-7}\\3Ae^{3} - 7Be^{-7} = 0 \\3Ae^{3} = 7Be^{-7}\\A = \frac{7}{3} Be^{-10}

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Substituting B into A, we have

A = \frac{7}{3} \frac{3}{10} e^{7}e^{-10}\\A = \frac{7}{10} e^{-3}

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y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}

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