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lana [24]
3 years ago
7

Use The Scale Factor 1:12 To Find The Missing Dimension

Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer:

The length of the model is 21 inches

Step-by-step explanation:

we have

The scale factor

\frac{1}{12}

That means

1 unit in the model represent 12 units in the actual

1 inch in the model represent 12 inches in the actual

Remember that

1\ ft=12\ in

so

1 inch in the model represent 1 ft in the actual

The scale factor is

\frac{1}{1}\ \frac{in}{ft}

therefore

21 ft in the actual represent 21 inches in the model

You might be interested in
. In the design of an electromechanical product, 12 components are to be stacked into a cylindrical casing in a manner that mini
Harlamova29_29 [7]

Answer:

(a) 479,001,600 combinations (b) 95,040 combinations (c) 3,326,400  combinations

Step-by-step explanation:

(a) In the case we have 12 different elements to stack, the possible combinations can be calculated as a premutation of 12 elements:

P = 12! = 479,001,600 combinations

(b) If seven components are identical, we have a permutation with repetition.

We have 7!=5040 combinations that are the same, so there is only one unique out of 5040 combinations. We have to divide the total possible combinations by 5040.

P = 12! / 7! = 479,001,600 / 5,040 = 95,040 combinations

(c) In the same way, if we have 3 components of Type 1 and 4 components of Type 2 (and the others all different), we have 3!*4! = 144 combinations that are the same.

P = 12!/(3!*4!) = 479,001,600 / 144 = 3,326,400  combinations

3 0
3 years ago
Use the dot plot to answer the question.
Tcecarenko [31]

Answer:

Mean of the data set in the dot plot would be: 3.6

Step-by-step explanation:

As we know that Mean from the dot plot can be obtained by:

  • adding the numbers and then
  • divide the resulting sum by the number of addends.

Please check the attached figure where the dot plot is also plotted.

From the dot plot, it is clear that

There are 3 dots at 1.

There are 4 dots at 2.

There are 3 dots at 3.

There are 4 dots at 4.

There are 5 dots at 5.

There are 3 dots at 6.

All we have to do is to add the dots and divide the sum by the number of addend dots.

In other words:

There are 3 dots at 1    ⇒  1+1+1

There are 4 dots at 2   ⇒  2+2+2+2

There are 3 dots at 3   ⇒   3+3+3

There are 4 dots at 4   ⇒   4+4+4+4

There are 5 dots at 5   ⇒   5+5+5+5+5

There are 3 dots at 6   ⇒   6+6+6

As there are total 22 dots.

And the sum of all the dots with respect to their plot number = 79

i.e. 1+1+1+2+2+2+2+3+3+3+4+4+4+4+5+5+5+5+5+6+6+6 = 79

Thus

Mean of the data set in the dot plot = 79/22

                                                            = 3.6

Therefore, Mean of the data set in the dot plot would be: 3.6

4 0
3 years ago
Please help answer these question​ I will give you brainliest
ozzi

Answer:

1) \frac{6+\sqrt{6} }{2}       2) -3 + \sqrt{12}

Step-by-step explanation:

Please ignore the squiggle in the middle of the page.

Please mark brainliest when you’re able :)  

8 0
3 years ago
Read 2 more answers
Thanks, five stars, and brainlilist
nikitadnepr [17]

Answer:

Second option

Step-by-step explanation:

It is given that, if the area of the rectangle to be drawn is 10 square units

To find the length of the rectangle

From the figure, we get the length of AB = 2 units

Therefore Area = length * breadth = 10

Therefore length = 10/2 = 5 units

To find the points of C and D

we have B(-1, 3)

Point C is 5 units below the point B

Therefore C(-1, 3-5) = C(-1,-2)

we have A(1, 3)

The point D is 5 units below the point B

Therefore D(1, 3-5) = A(1,-2)

Therefore the correct answer is option 2.

8 0
3 years ago
Read 2 more answers
I need help with this ​
Natali [406]
I’m pretty sure this is correct.

8 0
3 years ago
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