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Georgia [21]
3 years ago
12

Can someone please help ​

Mathematics
2 answers:
Degger [83]3 years ago
7 0

Answer:

216 cm^{3}

Step-by-step explanation:

From what I could tell, the model is a cube with a side length of 6. That means all sides have a length of 6 cm. You just have to do 6*6*6= 216 cm^{3}

Hope this helps!! I'm not sure why there is a 42 at the bottom though.

dmitriy555 [2]3 years ago
5 0

It looks like the 42 refers to the area of the base. If so, then we multiply that with the height 6 to get 42*6 = 252

So the volume of this rectangular prism is 252 cubic cm.

It seems strange that your teacher wrote "volume (in cm)" instead of "volume (in cm^3)" or "volume (in cubic cm)". Saying just "cm" without the "cubic" part is incorrect as centimeters alone are a linear unit, not volumetric.

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3 years ago
What is the number of subsets of S= {1, 2, 3…10} that contain five element include 3 or 4 but not both?
Ivenika [448]

Answer:

140

Step-by-step explanation:

To construct a subset of S with said property, we have two choices, include 3 in the subset or include four in the subset. These events are mutually exclusive because 3 and 4 can not both be elements of the subset.

First, let's count the number of subsets that contain the element 3.

Any of such subsets has five elements, but since 3 is already an element, we only have to select four elements to complete it. The four elements must be different from 3 and 4 (3 cannot be selected twice and the condition does not allow to select 4), so there are eight elements to select from. The number of ways of doing this is {}_8C_4=70.

Now, let's count the number of subsets that contain the element 4.

4 is already an element thus we have to select other four elements . The four elements must be different from 3 and 4 (4 cannot be selected twice and the condition does not allow to select 3), so there are eight elements to select from, so this can be done in {}_8C_4=70 ways.

We conclude that there are 70+70=140 required subsets of S.

7 0
3 years ago
(2)<br> 2. Explain why (1/2) x (1/2) x (1/2) = (1/8)
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Answer:

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6 0
3 years ago
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Step-by-step explanation:

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2 years ago
The straight line ax+by=1passes through the points (1,4)and (3,1).Find the values of a and b?
Molodets [167]

Answer:

a= 3/11

b = 2/11

Step-by-step explanation:

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b = 1-3a

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b = 1-3(3/11)

b= 2/11

3 0
3 years ago
Read 2 more answers
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