Answer:
Below in bold.
Step-by-step explanation:
This is a regular polygon so all sides are congruent, therefore:
The perimeter of the polygon = 6*34 = 204 units.
We can divide the polygon into 6 conguent triangle with height 30 and base 34.
So area of 1 triangle = 1/2*34*30 = 510.
So area of the polygon = 6 * 510 = 3060 unit^2.
Perimeter of the polygon = 6*34 = 204 units.
Answer:
57.06 unit^2
Step-by-step explanation:
find the area of the rectangle = 12*12 = 144 unit^2
the area of the circle = pi*r^2 = 3.14*8^2 = 201.06 unit^2 (rounded to the nearest hundredth)
then the "shaded area" is the difference
201.06 - 144 = 57.06 unit^2
Answer:
Distance between two cities is 193.94 miles.
Step-by-step explanation:
We have,
Madison and Wisconsin have latitudes 43.0731°N and 45.9172°N respectively.
Thus, their difference is 45.9172°N - 43.0731°N = 2.8441°
We assumed, the diameter of earth is 7917.5 miles.
So, the radius = 
= 3958.75 miles
So, using the cosine formula, we have,
i.e. 
i.e. 
i.e. 
i.e. a= 193.94 miles.
Hence, the distance between two cities is 193.94 miles.
Given:
The radius of the base = 3 cm
The height of the cone = 8cm
To find:
The volume of the cone
Step-by-step solution:
The volume of the cone = 1/3 × πr²h
The volume of the cone = 1/3 × 3.14 × (3)² × 8
The volume of the cone = 3.14 × 3 × 8
The volume of the cone = 75.36 cm³
Thus we can s
Use distributive property: a(b - c) = ab - ac
12(A - B) = 12A - 12B
