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creativ13 [48]
3 years ago
10

How can you find the volume of a composed figure?

Mathematics
2 answers:
lesantik [10]3 years ago
6 0
By multiple the sides
aliina [53]3 years ago
5 0
The first composite shape<span> is a combination of a rectangular prism and a pyramid. To </span>find the volume <span>of the entire </span>shape<span> you </span>find the volume<span> of each individual </span>shape<span> and add them together. The second </span>figure<span> consists of a cylinder and a hemisphere.</span>
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X+4/8 = 1/2
Nina [5.8K]

Answer:

x=0

Step-by-step explanation:

4/8=1/2, so:

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A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
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Since our function is A(L)=640L-2L², we get

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plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

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3 years ago
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It would be line cd, so b
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The following data set represents the number of students in the Tuesday
nataly862011 [7]

D is the correct answer.

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4 years ago
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