3x + 10 = 5x - 4
14 = 2x
x = 7
measure of the angles is 3(7) + 10 = 31 degrees
We find the first differences between terms:
7-4=3; 12-7=5; 19-12=7; 28-19=9.
Since these are different, this is not linear.
We now find the second differences:
5-3=2; 7-5=2; 9-7=2. Then:
Since these are the same, this sequence is quadratic.
We use (1/2a)n², where a is the second difference:
(1/2*2)n²=1n².
We now use the term number of each term for n:
4 is the 1st term; 1*1²=1.
7 is the 2nd term; 1*2²=4.
12 is the 3rd term; 1*3²=9.
19 is the 4th term; 1*4²=16.
28 is the 5th term: 1*5²=25.
Now we find the difference between the actual terms of the sequence and the numbers we just found:
4-1=3; 7-4=3; 12-9=3; 19-16=3; 28-25=3.
Since this is constant, the sequence is in the form (1/2a)n²+d;
in our case, 1n²+d, and since d=3, 1n²+3.
The correct answer is n²+3
Answer:
arc length = radius * angle in degrees * (PI / 180)
arc length = 6 * 160 * (PI/180)
arc length = PI * 960 / 180
arc length = PI * 5 + (60/180)
arc length = (16/3) * PI
Step-by-step explanation:
Answer:
30/7
Step-by-step explanation:
2 x 10 -13
20 - 13
7
4 x 10 -10
40 - 10
30
4/5 is the the fraction of a pound is eighty pence
