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Nataly [62]
3 years ago
7

A carpenter’s sketch of a room does not include a scale. She measures a wall that has been built and finds that it is 38.5 ft. l

ong. On the blueprint this wall is 7 in. long. What is the scale for this blueprint?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0

Answer:

1 inch on blueprint = 66 inch of real height

Step-by-step explanation:

Actual height of the wall is given as

H=38.5 ft.

so if we convert it into inch then we have

H=38.5 x 12

H=462inch  

now we know that this is shown by height of 7 inch in blueprint

so we have

7 inch on blueprint = 462 inch real height

so 1 inch of blueprint will show

h=\frac{462}{7} =66inch

so here we can say that scale will be

1 inch on blueprint = 66 inch of real height

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Lets solve the problem,

The last term is 0.

To form the first 18 terms, we must combine the following two sequences:

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Any combination of these two sequences will yield a valid case in which no two 0's and no three 1's are adjacent

So we will combine identical 2-term sequences with identical 3-term sequences to yield a total of 18 terms, we get:

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Case 1: x=9 and y=0

Number of ways to arrange 9 identical 2-term sequences = 1

Case 2: x=6 and y=2

Number of ways to arrange 6 identical 2-term sequences and 2 identical 3-term sequences =8!6!2!=28=8!6!2!=28

Case 3: x=3 and y=4

Number of ways to arrange 3 identical 2-term sequences and 4 identical 3-term sequences =7!3!4!=35=7!3!4!=35

Case 4: x=0 and y=6

Number of ways to arrange 6 identical 3-term sequences = 1

Total ways = Case 1 + Case 2 + Case 3 + Case 4 = 1 + 28 + 35 + 1 = 65

Hence the number of sequences are 65.

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