Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
Answer:
40 = <2
Step-by-step explanation:
<1 and <2 are corresponding angles and corresponding angles are equal when the lines are parallel
<1 = <2
40 = <2
The answer is 2(x + 3)(x^2 + 1).
Steps:
2x^3 + 6x^2 + 2x + 6
2x^3 + 2x + 6x^2 + 6
2x(x^2 + 1) + 6(x^2 + 1)
(2x + 6)(x^2 + 1)
2(x + 3)(x^2 + 1)
The sides, so the surface area
that is square meters
B is answer
