Answer:
The height of the pyramid is
Step-by-step explanation:
we know that
The volume of the pyramid is equal to
where
B is the area of the base of the pyramid
H is the height of the pyramid
step 1
Find the area B of the regular hexagonal base
we know that
The perimeter of a regular hexagon is
where
b is the length side of the hexagon
we have
substitute
solve for b
Remember that the area of a regular hexagon is the same that the area of six equilateral triangles
Determine the area of the six equilateral triangles, applying the formula of the law of sines
substitute the value of b
step 2
Find the height of the pyramid
we have
substitute
solve for H
Answer:
Herman's final position is -3 feet relative to the ground level.
Step-by-step explanation:
As given:
Herman starts out on a rung that is 6 feet under ground ,climbs up 14 feet,then climbs down 11 feet.
The initial position is 6 feet(negative value) under ground, then up 14 feet (plus value)and down again 11 feet(negative value).
We take positive value when position is above the initial level and negative when the position is below the level.
The final position relative to ground level is:
=
Therefore, Herman's final position is -3 feet relative to the ground level.
The equation of a line can be predicted easily if two points are given. Thus, the equation of the required line is .
We need to determine the equation of the line with the help of the given graph.
Now, take two points from the graph. The points are ( 1, 4 ) and ( 2, 4 ).
The if a line passed through the two points say , then the equation of the line can be formulated as:
Therefore, apply the formula and solve it further.
Thus, the equation of the line is
To know more about the equation of the line, please refer to the link:
Answer:
y = 3
Step-by-step explanation:
This is a constant function
y = 3