Answer:
if the height of the triangle is 8 in, its side is 9.2379, and this side is also the side of the hexagon, so the perimeter is 6*9.2379 = 55.43 in
Step-by-step explanation:
As the hexagon is regular, each of those triangles will also be regular.
So if the height of one triangle is 8 inches, we can find the side of the triangle with the height formula of a regular triangle:
height = side * sqrt(3)/2
8 = side * 0.866
side = 8/0.866 = 9.2379
The side of the triangle will also be the side of the hexagon. So the perimeter of the hexagon will be:
P = 6 * 9.2379 = 55.43 inches
Answer:
7 donkeys
Step-by-step explanation:
Given
A system consisting of donkeys and tourists
Heads = 50
Legs = 114
Required
Calculate number of donkeys.
Represent donkeys with D and tourists with T.
By means of identification; donkeys and tourists (human) both have 1 head.
This implies that
Number of Heads = D + T
50 = D + T ----- Equation 1
While each donkey have 4 legs, each tourists have 2 legs.
This implies that
Number of legs = 4D + 2T
114 = 4D + 2T ---- Multiply both sides by ½
114 * ½ = (4D + 2T) * ½
57 = 4D * ½ + 2T * ½
57 = 2D + T ----- Equation 2
Subtract equation 1 from 2
57 = 2D + T
- (50 = D + T)
---------------------
57 - 50 = 2D - D + T - T
7 = D
Recall that D represents the number of donkeys.
So, D = 7 implies that
The total number of donkeys are 7
The radical is 145 because no squares can divide into it
The answer is 5 because that is the number that 4 corresponds to
