Before attempting to solve any problem, make sure that the units are consistent. There are units of feet and inches. To be consistent,let's convert ft to in knowing that there are 12 inches in 1 ft.
9 ft*12 in/1 ft = 108 inches
Now, it also mentions that there are 5 of these. So, the total length would be:
Total Length = 108*5 = 540 inches
Finally, divide the total length to 15 inches.
Number of portions = 540/15 = <em>36 pieces of 15-inch ribbons</em>
Answer:
Is this an arithmetic sequence?
Yes.
Is there a common difference and if so, what is it?
Yes, there is a common difference : 1
The common difference is 1
Answer:
acc to ques....perimeter of figure= 3a^2+15a+9
let missing dimension be x
= x+10a-2+a^2-7+5a=3a^2+15a+9
x+15a+a^2-9=3a^2+15a+9
x=2a^2+18
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
a = 3.85
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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I think you forgot to put the image in the question
