<span>Prism Volume = Area of Base • Height
</span>
Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5
side^2 =240 * 0.72654 / 5
side^2 =
<span>
<span>
<span>
174.3696
</span>
</span>
</span>
/ 5
side^2 =
<span>
<span>
<span>
34.87392
</span>
</span></span>
side =
<span>
<span>
<span>
5.9054144647 </span></span></span>
Pentagon Perimeter =
<span>
<span>
<span>
5.9054144647</span></span></span>* 5
<span><span><span>Pentagon Perimeter =
29.5270723235
</span>
</span>
</span>
Perpendicular lines have slopes that are negative reciprocals of one another.
slope intercept form (y = mx + b) of the first equation will help us find the slope of the first line: where m = slope
5x-4y=10
-4y=-5x + 10
y=-5/-4 x + 10/-4
y=5/4 x -2.5
if the slope of this line is 5/4 then the slope of the perpendicular line is -4/5.
Therefore with the given information we can state the equation of the second line in point slope form (y-y,) = m(x-x,)
the coordinates of (5,12) can are substituted for x, and y,
so the answer is
(y-12) = -4/5(x-5)
I hope this helped and is BRAINLIEST!
Good luck with your studies!
You have to have a better question to answer that, 100 feet more what?
