Answer:
a19 = -71.74
Step-by-step explanation:
The general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
The given 5th and 15th terms tell us ...
-3.7 = a1 +d(5 -1)
-52.3 = a1 +d(15 -1)
Subtracting the first of these equations from the second, we find ...
10d = -48.6
d = -4.86 . . . . . . divide by 10
The 19th term will be ...
a19 = a1 +d(19 -1)
Subtracting the 15th term from this, we find ...
a19 -a15 = 4d
a19 = 4d +a15 = 4(-4.86) +(-52.3)
a19 = -71.74
Step-by-step explanation:
5.|12 - r| > 15
|12 - r| > 15/5
|12 - r| > 3
12 - r < -3 or 12 - r > 3
-r < -3 - 12 or -r > 3 - 12
-r < -15 or -r > -9
r > 15 or r < 9
I agree im not the best at math but I think it is $0. Hope this helps. Sorry if im wrong.
the answer is 113.3Repeating
We know one side of the smaller rectangle, 6ft. Therefore the longer side is 78/6 ft = 13ft.
The ratio of small to large side is 6:10, so the larger rectangles other length is (13 / 6) * 10 ft = 21.666... ft.
Thus the area of the larger rectangle is 21.666... * 10 = 216.666... ft^2, and hence to the nearest whole number it is 217 ft^2
