Answer:
56 min
Step-by-step explanation:
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.
Answer:
x = -2
Step-by-step explanation:
Since we know they will have the same output, we can set them equal to each other in an equation. We'll use x to represent the input.
3x + 6 = 8(x + 2) (Given)
3x + 6 = 8x + 16 (Distributed the 8)
6 = 5x + 16 (Subtracted 3x on both sides)
-10 = 5x (Subtracted 16 on both sides)
-2 = x (Divided 5 on both sides)
Answer:
the maximum value is 45
Step-by-step explanation:
- A box of leaf plot has 5 points and they are:
The minimum, the first quartile (Q1) the median (Q2), the third quartile (Q3), and the maximum. The box encompasses Q1, Q2, and Q3. The maximum is after Q3 and the minimum is before Q1.
In this case,
Q1, Q2, and Q3 are in a range 20-30, thus the maximum come after 30, which is 45