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3 years ago

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:

Part A

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.

Part B

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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Lina20 [59]

Answer:

in three forths of what?

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3 years ago

Pleas Help!!???Examine the diagram to answer the question.

hichkok12 [17]

The equation for any circle centered at the origin with a radius r is the following:

$x^2+y^2=r^2$

By looking at the picture, we can see that the radius is 5. We can also use the distance formula to find the distance between (0,0) and (-3,-4), and we will also get 5.

Thus, r=5.

This makes the equation:

$x^2+y^2=5^2$

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That should be your answer, let me know if this is confusing in any way.

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4 0

4 years ago

Hector and Evelyn are solving the following problem. Find x,y, and z in this 45-45-90 triangle.

Murljashka [212]

Answer: A. They are both incorrect

Step-by-step explanation:

x=3√2

y=6

z=3√2

-----------------------

45-45-90=1:1:√2

------------------------

solve for x

x is the side accordingly to 90 in the smaller triangle, so it should be the [45] side times √2

3×√2=3√2

-----------------------

solve for y

y is the side accordingly to 90, so it should be the [45] side times √2

3√2×√2=6

----------------------

solve for z

z is the side accordingly to 45 in the bigger triangle, x is also accordingly to 45 in the bigger triangle

z=x

z=3√2

8 0

3 years ago

Evaluate: <img src="https://tex.z-dn.net/?f=32%5E%7B-%20%5Cfrac%7B2%7D%7B5%7D%20%7D%20%3Cbr%3E%3Cbr%3E%3Cbr%3E%3Cbr%3E%3Cbr%

shutvik [7]

$32^{- \frac{2}{5} } = ( \frac{1}{32}) ^{ \frac{2}{5} } = ( \frac{1}{32} )^{ \frac{1}{5} *2} = [ ( \frac{1}{32}) ^{ \frac{1}{5} } ]^{2} = ( \sqrt[5]{ \frac{1}{32} } ) ^{2} = ( \sqrt[5]{ \frac{1}{2}* \frac{1}{2} * \frac{1}{2} * \frac{1}{2} * \frac{1}{2} } )^{2}$ = $( \frac{1}{2} )^{2} answer$

the notebook
 $(32)^{- \frac{2}{5} } = ( \sqrt[5]{ \frac{1}{32} } )^{2} = ( \frac{1}{2} )^{2} = \frac{1}{4}$

3 0

3 years ago

Tom and Becky can paint Jim's fence together in 12 hours. If all people paint at the same rate, how many hours would it take to

Delvig [45]

Answer: 8 hours

Step-by-step explanation:

Let x be the time taken by each person to paint the fence.

Given: Tom and Becky can paint Jim's fence together in 12 hours.

Since all people paint at the same rate, then we have the following equation ;-

$\dfrac{1}{x}+\dfrac{1}{x}=\dfrac{1}{12}\\\\\Rightarrow\ \dfrac{2}{x}=\dfrac{1}{12}\\\\\Rightarrow\ x=24$

Thus, the time taken by each person to paint the fence alone = 24 hours

Now, the time taken by all three paint together:-

$\dfrac{1}{t}=\dfrac{1}{24}+\dfrac{1}{24}+\dfrac{1}{24}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3}{24}\\\\\Rightarrow\ t=\dfrac{24}{3}=8\text{ hours}$

Hence, it would take 8 hours if all three paint together.

3 0

3 years ago