A plane contains a line m and a point O not on line m. The image of line m is constructed through a dilation centered at O with
1 answer:
You might be interested in
The area of a polygon = n*side^2 / (4 * tan(180/n))
where "n" is the number of sides
Let's calculate area for side = 2
area = 8*2^2 / (4 * tan(180/8))
area = 32 / (4 * tan(22.5))
area = 32 / 4*0.41421
<span> <span> <span> area = 19.3138746047 </span> </span> </span>
Now, let's calculate area for side = 6
area = 8*6^2 / (4 * tan(180/8))
area = 288 / <span> <span> <span> 1.65684 </span> </span> </span>
area = <span> <span> <span> 173.824871442 </span> </span> </span>
<span> <span> 173.824871442 </span> / </span><span><span>19.3138746047 = </span> 9
So, the area would be 9 times larger.
ALSO, looking at the formula
</span>n*side^2 / (4 * tan(180/n))
we can see that the side length appears just once in the formula and we are to square it in the calculation. So, if we increase the side length is increased by 3, then the area increases by 3^2 or 9.
where "n" is the number of sides
Let's calculate area for side = 2
area = 8*2^2 / (4 * tan(180/8))
area = 32 / (4 * tan(22.5))
area = 32 / 4*0.41421
<span> <span> <span> area = 19.3138746047 </span> </span> </span>
Now, let's calculate area for side = 6
area = 8*6^2 / (4 * tan(180/8))
area = 288 / <span> <span> <span> 1.65684 </span> </span> </span>
area = <span> <span> <span> 173.824871442 </span> </span> </span>
<span> <span> 173.824871442 </span> / </span><span><span>19.3138746047 = </span> 9
So, the area would be 9 times larger.
ALSO, looking at the formula
</span>n*side^2 / (4 * tan(180/n))
we can see that the side length appears just once in the formula and we are to square it in the calculation. So, if we increase the side length is increased by 3, then the area increases by 3^2 or 9.
For this case we have that by definition, the volume of a rectangular prism is given by:
Where:
It is the area of the base of the prism
h: It is the height
Where:
w: is the width
l: is the length
According to the data of the statement we have:
Substituting the data we have:
We choose the positive value:
So the height is
Answer: