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Aloiza [94]
3 years ago
8

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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Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordl
Karo-lina-s [1.5K]

Full Question

Eighteen telephones have just been received at an authorized service center. Six of these telephones are cellular, six are cordless, and the other six are corded phones. Suppose that these components are randomly allocated the numbers 1, 2, . . . , 18 to establish the order in which they will be serviced.

What is the probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced?

What is the probability that two phones of each type are among the first six serviced?

Answer:

a. 0.149

b. 0.182

Step-by-step explanation:

Given

Number of telephone= 18

Number of cellular= 6

Number of cordless = 6

Number of corded = 6

a.

There are 18C6 ways of choosing 6 phones

18C6 = 18564

From the Question, there are 3 types of telephone (cordless, Corded and cellular)

There are 3C2 ways of choosing 2 out of 3 types of television

3C2 = 3

There are 12C6 ways of choosing last 6 phones from just 2 types (2 types = 6 + 6 = 12)

12C6 = 924

There are 2 * 6C6 * 6C0 ways of choosing none from any of these two types of phones

2 * 6C6 * 6C0 = 2 * 1 * 1 = 2.

So, the probability that after servicing twelve of these phones, phones of only two of the three types remain to be serviced is

3 * (924 - 2) / 18564

= 3 * 922/18564

= 2766/18564

= 0.149

b)

There are 6C2 * 6C2 * 6C2 ways of choosing 2 cellular, 2 cordless, 2 corded phones

= (6C2)³

= 3375

So, the probability that two phones of each type are among the first six serviced is

= 3375/18564

= 0.182

5 0
3 years ago
FIND THE VOLUME OF THE TRIANGULAR PRISM<br> height=6cm<br> side=7cm<br> length=10cm
Dima020 [189]

Answer:

210cm^3

Step-by-step explanation:

Given the triangular prism with:

  • Height of the Triangle =6cm
  • Base of the Triangle =7cm
  • Length of the Prism =10cm

Volume of a Prism= Base Area X Length of the Prism

=\frac{1}{2}X6X7X10\\ =210cm^3

The volume is 210 cubic centimeter.

6 0
3 years ago
Read 2 more answers
A company is designing a new cylindrical water bottle. The volume of the bottle will be 156156 cmcubed3. The height of the water
DaniilM [7]

Answer: the radius is 2.61 cm

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

Volume = 156 cm³

Height = 7.3 cm

Therefore,

156 = 3.14 × r² × 7.3

156 = 22.922r²

r² = 156/22.922 = 6.81

Taking square root of both sides of the equation, it becomes

r = 2.61 cm

8 0
3 years ago
24.94 is 29% of what number? plz help
Vlada [557]

Answer:

7.2326

Step-by-step explanation:

3 0
3 years ago
7.34 in scientific notation
Allushta [10]

Answer:

7.34×10⁰

Unless you're missing something in your question then that'd be it I guess... There isn't really a reason to put 7.34 in scientific notation though, so I'm assuming something isn't loading for me (or the question was changed).

6 0
3 years ago
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