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igor_vitrenko [27]
3 years ago
12

The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of One-fourth is used to make a scale mode

l of the dining room, what is the area of the dining room in the scale model?
18 square feet
36 square feet
48 square feet
72 square feet
Mathematics
2 answers:
Aleks [24]3 years ago
8 0

Answer:

72

Step-by-step explanation:

18 times 16 is 288

288 divided by 4 is 72

mestny [16]3 years ago
6 0
72 square ft bc if u do : 18x16 that equals 288 and you then have to divide that by four since the dining room is supposed to be 1/4th of that room and you get 72 and then add square ft at the end
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Find the sum of the first 20 terms of an arithmetic sequence with an 18th term of 8.1 and a common difference of 0.25.
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The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Given,

18th term of an arithmetic sequence = 8.1

Common difference = d = 0.25.

<h3>What is an arithmetic sequence?</h3>

The sequence in which the difference between the consecutive term is constant.

The nth term is denoted by:

a_n = a + ( n - 1 ) d

The sum of an arithmetic sequence:

S_n = n/2 [ 2a + ( n - 1 ) d ]

Find the 18th term of the sequence.

18th term = 8.1

d = 0.25

8.1 = a + ( 18 - 1 ) 0.25

8.1 = a + 17 x 0.25

8.1 = a + 4.25

a = 8.1 - 4.25

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Find the sum of 20 terms.

S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]

         = 10 [ 7.7 + 19 x 0.25 ]

         = 10 [ 7.7 + 4.75 ]

         = 10 x 12.45

         = 124.5

Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5

Learn more about arithmetic sequence here:

brainly.com/question/25749583

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