Question 1:
A = w * l
A = 5432m^2
l = 97
A / l = w
5432 / 97 = 56
w = 56
Question 2:
Perimeter of rectangle = 2w + 2l
P = 336
w = 79
P - 2w = 2l
336 - 158 = 178
178 / 2 = 89
l = 89
Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
800 ÷ 3 = 266.7
Biggest possible area = 266.6 x 266.7 = 71102.00 ft²
Answer: The dimension is 266.6 ft by 266.7 ft
Add 121/4 to each side:
x²+11x+121/4 < 121/4-8
x²+11x+121/4 < 89/4
(x+11/2)² < √89/2 ⇒ -√89/2 < x+11/2 < √89/2
-11/2-√89/2 < x < -11/2+√89/2
