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3 years ago

The house shown is a composite of more than one shape. Which of these methods would you use to find the volume of the house?

Mathematics

2 answers:

Kamila [148]3 years ago

7 0

Answer: Add the volume of a rectangular prism to the volume of a triangular prism.

Step-by-step explanation:

A. Find the volume of a pyramid.

Neither of the shapes shown are a pyramid and there should be two shapes added together.

B. Find the volume of a rectangular prism.

There should be two shapes being added together, however this is one of the shapes shown.

C. Add the volume of a rectangular prism to the volume of a triangular prism.

This is the answer because the bottom shape of the house is a rectangular prism since there are six faces all with four sides. The top shape is a triangular prism because two of the faces are triangles and the other three are rectangles. This shape would not be a pyramid because in order for it to be categorized that way it would need at least four triangular faces that connect at a point.

D. Add the volume of a rectangular prism and a pyramid.

The triangular prism is shown, however the shape used to represent the roof of the house would be classified as a rectangular prism.

zimovet [89]3 years ago

4 0

Answer:

find the area on one shape and the area of the other and add the shapes areas to get your answer

Step-by-step explanation:

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dedylja [7]

Answer:

16mm

Step-by-step explanation:

Just do 40 * 2/5 = 80/5 = 16mm

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4 years ago

Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

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3 years ago

Please help me with this

GenaCL600 [577]

Answer: slope = 4

Step-by-step explanation:

slope = m = rise/run = y1-y2/x1-x2

9-1/5-3 = 8/2 = 4

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3 years ago

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tensa zangetsu [6.8K]

The answer is...
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24

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Question 7 50 points

meriva

Answer:

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