<u>Answer-</u>
<em>The height of the prism is</em><em> 6 units</em>
<u>Solution-</u>
As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.
So,

And,

Also,


Putting all the values,

As the volume is given, so


Answer:
y=-2x-3
Step-by-step explanation:
Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b. Therefore:

Therefore, our slope is 1/2 and our y-intercept is 2. Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning
(negative reciprocal). Now we must use the point slope formula:

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.
Answer:
Volume=24+192=216
Step-by-step explanation:
Pink Rectangle:
LxWxH
3x1x8
3x8
24
24+192=216
Hope this helps!
Answer:
54.
Step-by-step explanation:
(self-explanatory.)
The original motivation for choosing the degree as a unit of rotations
and angles is unknown. One theory states that it is related to the fact
that 360 is approximately the number of days in a year.[5] Ancient astronomers noticed that the sun, which follows through the ecliptic path over the course of the year, seems to advance in its path by approximately one degree each day