Answer:
1623.80 m²
√3(1875/2) m²
Step-by-step explanation:
The area, A of a regular hexagon can be obtained using the relation :
A = √3(p²/24)
The perimeter, p = 150 m
Therefore,
A = √3(150²/24)
A = √3(22500/24)
A = √3(937.5)
A = 1623.7976
A = 1623.80 m²
A = √3(1875/2) m²
Answer:
57kg
Step-by-step explanation:
We need to find the length of each piece of metal:
We already know that 2 of them are 6m and 8m and this would be the same for the pieces of metal opposite.
So we have four lengths - 6m, 6m, 8m, and 8m
To find the last length, we need to use pythagoras theory
a² + b² = c² where c is the slanted side, or the diagonal
6² + 8² = c²
36 + 64 = 100
c² = 100
c = √100 = 10
So the five lengths are 6m, 6m, 8m, 8m, and 10m and the total is 38m
If:
1m = 1.5kg
38m = ?kg
We have to multiply both sides by 38
1m × 38 = 38m
1.5kg × 38 = 57kg
So, the total weight of metal in the frame is 57kg
The system of equations is
3d+7p=61.25
12d+9p=107.25
Answer:
Therefore, equation of the line that passes through (2,2) and is parellel to the line 
is 
Step-by-step explanation:
Given:
a line
To Find:
Equation of line passing through ( 2, 2) and is parellel to the line y=7x
Solution:
...........Given
Comparing with,
Where m =slope
We get
We know that parallel lines have Equal slopes.
Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.
Now the equation of line in slope point form given by
Substituting the points and so we will get the required equation of the line,
Therefore, equation of the line that passes through (2,2) and is parellel to the line is
