Answer:
Yes
Step-by-step explanation:
Multiply 4/5 so that they have a common denominator.
14/15 > 12/15 (4/5)
Answer: 18
Step-by-step explanation:
2 degrees per hour
9 hours
1hour = 2 degrees
2hours= 4 degrees
3hr= 6 degrees
4hr= 8 degrees
5hr=10 degrees
6hr= 12 degrees
7hr= 14 degrees
8hr= 16 degrees
9hr= 18 degrees
So you are basically doing 2x9 to get your answer
Answer:
Step-by-step explanation:
Problem A
t(1) = 2(1) + 5
t(2) = 2*2 + 5 = 9
t(3) = 2*3 + 5 = 11
t(4) = 2*4 + 5 = 13
So this is the explicit result. Now try it recursively.
t_3 = t_2 + 2
t_3 = 9 + 2
t_3 = 11 which is just what it should do.
t_n = t_(n - 1) + 2
Problem B
t(1) = 3 * 1/2
t(1) = 3/2
t(2) = 3*(1/2)^2
t(2) = 3 * 1/4
t(2) = 3/4
t(3) = 3*(1/2)^3
t(3) = 3 * 1/8
t(3) = 3/8
t(4) = 3 (1/2)^4
t(4) = 3 (1/16)
t(4) = 3/16
So in general
t_n = t_n-1 * 1/2
For example t(5)
t_5 = t_4 * 1/2
t_5 = 3 /16 * 1/2 = 3/32
Answer:
20 units
Step-by-step explanation:
The polygon has 4 vertices as indicated by the 4 coordinate points given.
(3, 1) and (8, 1) is a horizontal side of length 8 - 3 = 5
Similarly
(3, 6) and (8, 6) is the opposite horizontal side of length 8 - 3 = 5
Points (3, 1) and (3, 6) is a vertical side of length 6 - 1 = 5
(8, 1) and (8, 6) is the opposite side of length 6 - 1 = 5
The polygon is therefore a square of side 5 units.
Perimeter = 4 × 5 = 20 units
