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damaskus [11]
3 years ago
15

What is the volume of the composite figure?

Mathematics
1 answer:
Colt1911 [192]3 years ago
8 0

Answer:

A. 140 cubic inches

Step-by-step explanation:

The total volume is the volume of the rectangular prism at the bottom plus the volume of the pyramid on top.

The volume of the prism is width times length times height.

V = wlh

V = (3)(7)(4)

V = 84

The volume of the pyramid is one third the area of the base times the height.

V = ⅓ Ah

The base of the pyramid is a rectangle.  Its area is the width times length.  The height of the pyramid is the total height minus the height of the prism.

V = ⅓ (3)(7)(12−4)

V = 56

So the total volume is:

V = 84 + 56

V = 140

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Using the Fundamental Counting Theorem, the sample size of these outcomes is of 12.

<h3>What is the Fundamental Counting Theorem?</h3>

It is a theorem that states that if there are n things, each with n_1, n_2, \cdots, n_n ways to be done, each thing independent of the other, the number of ways they can be done is:

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Considering the number of options for Entree, Side and Drink, the parameters are:

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More can be learned about the Fundamental Counting Theorem at brainly.com/question/24314866

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Answer:

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Step-by-step explanation:

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Cos(30)=\cfrac{x}{6\sqrt{3} }

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