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damaskus [11]
2 years ago
15

What is the volume of the composite figure?

Mathematics
1 answer:
Colt1911 [192]2 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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3 years ago
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Amir has $200 budget to spend on a graduation party for his son he already has purchased $122 worth of drinks and party supplies
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Answer: C, D, and E

Step-by-step explanation:

200-122=78 remaining

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E: 70*1.10=77.00

F: 71*1.10=78.10

Only C, D and E are below the dollars remaining in the budget.

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3 years ago
Describe the distribution of the data with regard to the shape, outliers, center, and spread.
Pepsi [2]
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As you can see visually, the shape of the distribution graph is skewed to the right, although not uniformly. This is justified because the relatively high data are situated on the far right side of the graph. Also, there are no outliers in the data because they are all pretty close to each other. No bar is obviously different from the others. The center is the median of all the data. If you create a middle line as represented by the horizontal line, the center data point is 21. You can verify this by arranging all the data points from smallest to largest, and selecting the middle data. Lastly, the spread is from the lowest value to the highest value. The lowest value is at 12 to 1 pm with 19 people. The highest value is at 4 to 5 pm with 24 people. Therefore, the spread is from 19 to 24.

5 0
3 years ago
The profits of mr cash’s company is represented by the equation p(t)=-3t^2+18t-4, where p(t) is the amount of profit in hundreds
eduard
We have that

<span>p(t)=-3t^2+18t-4

using a graphing tool, we can see the maximum of the graph
(see the attached figure)

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</span>Mr. Cash’s business show maximum profit at year 3 (maximum in the parabole)

<span>B) What is the maximum profit? 

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</span>c) What time will it be two late?
 
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4 0
3 years ago
Help me with this plz
Sergio [31]

Answer:

C) Similar-SAS

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Here,

BSE ~ TES

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