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ollegr [7]
3 years ago
8

An office and apartment building is made up of modules. Each module is a rectangular

Mathematics
1 answer:
Oksana_A [137]3 years ago
4 0

Answer:

(a)10 modules per floor

(b)Two different rectangular prism

Step-by-step explanation:

<u>Part A</u>

Number of modules=130

Number of stories=13

Since all of the modules were divided evenly among the number of stories:

Number of module per floor =130÷13=10 modules per floor

There would be 10 modules on each floor.

<u>Part B</u>

Next, we determine how many different rectangular prisms could be made from the number 10 derived above.

Step 1: List the factors of 10

Factors of 10 are: 1,2,5 and 10

Step 2:

Form a product of three terms which equals 10 using the factors derived above. We have two possible combinations:

  • 10×1×1
  • 2×5×1

Therefore, two different rectangular prisms could be made from the number of modules on each floor.

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The sum of the first and third consecutive add integers is 131 less than 3 times the second integer.Find the 3 integers.Pls writ
Arisa [49]
3 consecutive odd integers....x, x + 2, and x + 4

x + x + 4 = 3(x + 2) - 131
2x + 4 = 3x + 6 - 131
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3 years ago
Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

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3 years ago
Need reasons answer for this please!
Ugo [173]

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1.Given .

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Find the circumcenter of the triangle.
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4*8
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