Answer: There are 3.5 metric tons will be supported by a column 8 m high and two thirds m in diameter.
Step-by-step explanation:
Since we have given that
Height of columns of arena = 9 m
Diameter = 1 m
Load = 14 metric tons
Since Load is directly varies as the fourth power of the diameter 'd', and inversely as the square of the height.
so, Mathematically, it is expressed as

If the height of columns = 8 m
Diameter = 
So, Load would be

Hence, there are 3.5 metric tons will be supported by a column 8 m high and two thirds m in diameter.
The volume of a triangular prism by definition is given by:
V = (Area of the base) * (height)
Substituting the values we have:
V = (30) * (6)
V = 180 in ^ 3
Answer:
The volume of the sail in the form of a triangular prism is:
V = 180 in ^ 3
Answer: 145
Step-by-step explanation:
(−72)(−23)
−72(−23)
1423
Sec^2 x - 1 = tan^2x
Proof:
Sec^2x = 1+ tan^2x
1/cos^2x = 1 + sin^2x/cos^2x
<span>1/cos^2x - sin^2x/cos^2x = 1
</span>Using common denominator:
(1-sin^2x)/cos^2x = 1
sin^2x + cos^2 x = 1
cos^2 x = 1 - sin^2x
Substituting :
cos^2x/<span>cos^2x = 1
</span>1 = 1
Left hand side = right hand side
The second option is the correct answer