Answer:
The radius of a hexagon is called the apothem, which in this case is 15.
We need to know the side length which is found by the equation:
side length = apothem * 2 * (tan (180 / #sides))
side length = apothem * 2 * (tan (180 / 6))
side length = 15 * 2 * (tan (30 degrees))
side length = 30 * .57735
side length = 17.3205
We need the perimeter of the hexagon which equals the side length times six.
perimeter = 6 * 17.3205 = 103.923
Source: https://www.1728.org/polygon.htm
Step-by-step explanation:
Answer: 1300 cm³
a) Find the volume of the entire rectangle and subtract the volume of the missing section. Volume = L · w · h
Solid = Rectangle - Missing section
= L · w · h - L · w · h
= 16 · 10 · 10 - 10 · 6 · 5
= 1600 - 300
= 1300
b) Find the volume of each section of the rectangle (base, left wing right wing) and add them. Volume = L · w · h
Solid = Base + Left wing + Right wing
= L · w · h + L · w · h + L · w · h
= 16 · 10 · 5 + 5 · 10 · 5 + 5 · 10 · 5
= 800 + 250 + 250
= 1300
The answer from (a) is the same as (b) 
Answer:
192m³
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a square based pyramid
The highlighted figure is a square based pyramid
The volume of a pyramid is
V=a²h/3
Where a= base length
h= height
Given a= 8m
h= 9m
Volume = 8²*9/3
Volume = 64*3
Volume = 192m³
<em><u>Answer:</u></em>
The unit rate is $2.86 per hour
<u><em>Explanation:</em></u>
The units rate is amount earned in 1 hour
We are given that the rate for 3.5 hours is $10
<u>To get the unit rate, we will use cross multiplication as follows:</u>
3.5 hours ..........> $10
1 hour ..................> ??
units rate =
=
which is approximately $2.86 per hour
Hope this helps :)