For i=1 ===> Sum=4
for i=2===> Sum=2
for I=3===> Sum=1
Hence the answer is 7
Or you could have use the Sum formula of a GP:
Sum = a(1-r)^n/(1-r), with a=1, r=1/2 & n=3
The general formula for the lateral surface area of a regular pyramid is:

Where:
p=perimeter of a base
l=slant height
a.
a=3ft
l=4ft
p=5*a=5*3=15ft

b.
a=2.5ft
l=4ft
p=6*a=6*2.5=15ft

c.
a=1.9ft
l=4ft
p=8*a=8*1.9=15.2ft

d.
Based on a lateral surface area the blue umbrella is best choice. But, the best umbrella overall is the one with the greatest base area. General formula for regular polygon is:

For pentagon:
A=15.48ft^2
For hexagon:
A=16.24ft^2
For octagon:
A=17.43ft^2
Blue umbrella is still best choice.
Given:
Length = 3x + 6y cm
Area = 3x² + 9xy + 6y²
Because Area = Width * Length, therefore
Width = Area/Length
= (3x² + 9xy + 6y²)/(3x + 6y).
Width =


Answer:
x+y
Starting with

Divide both sides by 2 to get

If
is positive, this means

If
is negative, this means

So, we are looking for positive number smaller than 5, or negative numbers greater than -5. In other words, every number between -5 and 5 (both excluded) will satisfy the equation.
Answer:
Yes
Step-by-step explanation: