Answer:
roam
Step-by-step explanation:
free points
Answer:
4.2 cm
Step-by-step explanation:
The law of cosines is applicable.
l² = k² +m² -2km·cos(L)
l² = 5.1² +1.2² -2·5.1·1.2·cos(35°) ≈ 17.4236
l ≈ √17.4236
l ≈ 4.2 . . . cm
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
#SPJ1
Answer:
too much reading, can you put more points.
(edit: OML SO SORRY -THOUGHT THIS WAS QUESTIONS)
Step-by-step explanation:
Answer:
-3.
Step-by-step explanation:
In the table, the y value goes down by -4 and then -2, for a total of -6.
We did this over a period of two units (To go from -1 to 1, we add 2).
-6/2 = -3.
-3 is the average rate of change over the interval.