In a 30 60 90 triangle, the short side = one half the hypotenuse = 4.5
The middle side = short side * sq root of 3
So, the middle side = 4.5 * sq root of 3 (
<span>
<span>
<span>
7.7942</span></span></span>)
Perimeter = 4.5 + 7.7942 + 9
Perimeter =
<span>
<span>
<span>
21.2942
</span>
</span>
</span>
Source:
http://www.1728.org/trig2.htm
Y= 16x2 - 8x+1 does not intersect the c axis. It only peaks at it. The parabola does not go over it.
Find the volume
volume=hpir^2
d/2=r=16/2=8
1.
hmm, ok, after 1/2 hour or 30 mins
30/5=6
6*1=6, 6 cubic meters
volume=6, solve for height
v=hpir^2
but r=8 all the time, solve for h
6=hpi8^2
6=hpi64
6/(64pi)=h
the depth is
meters or about 0.02984155182973037545666570563235 meters
the depth is about 0.03 meters
2. the full volume is
v=6pi8^2=6pi64=384pi
1 cubic meter every 5 mins so
384pi/1 is how many 5 mininute intervals
so 384pi times 5=total minutes=1920pi minutes or about 6031.8578948924030178482752958966minutes
For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)