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wolverine [178]
2 years ago
13

The area of a trapezoid is 144 square inches. if the height is 12 inches, find the length of the median.

Mathematics
1 answer:
deff fn [24]2 years ago
6 0

Answer: 12 inches

Step-by-step explanation: In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.

Area = median · height

We know that the area is 144 and the height is 9 so we can set up the equation 144 = M · 12. Now to solve for <em>m</em>, we divide both sides of the equation by 12 and we find that 12 = M.

So the length of the median of the trapezoid is 12 inches.

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The fish population in a pond with carrying capacity 1200 is modeled by the following logistic equation where N(t) denotes the n
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Answer:

  (dN)/(dt) = (0.4)/(1200)N(1200-N) -50

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Step-by-step explanation:

A) The differential equation is modified by adding a -50 fish per year constant term:

  (dN)/(dt) = (0.4)/(1200)N(1200-N) -50

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B) The steady-state value of the fish population will be when N reaches the value that makes dN/dt = 0.

  (0.4/1200)(N)(1200-N) -50 = 0

  N(N-1200) = -(50)(1200)/0.4) . . . . rewrite so N^2 has a positive coefficient

  N^2 -1200N + 600^2 = -150,000 +600^2 . . . . complete the square

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  1200 - 1058 = 142 . . . . below the original carrying capacity

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A store manager wishes to reduce the price on her fresh ground coffee by mixing two grades. If she has 35 pounds of coffee which
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x² - 8y = 121.5

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