How do you do this? Thank you
1 answer:
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Check the picture below.
since each edge is 8 inches, that simply means the right-triangle has a base of 8 and a height/altitude of 8 as well.
and since the triangular prism is really just two triangles and 3 rectangles, as you see there, we can simply get the area of each figure and sum them up, and that's the surface area of the prism.
![\bf \stackrel{\textit{area of the two triangles}}{2\left[ \cfrac{1}{2}(\stackrel{base}{8})(\stackrel{height}{8}) \right]}~+~\stackrel{\textit{area of the 3 rectangles}}{3(8\cdot 8)}\implies 64+192\implies 256](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%20two%20triangles%7D%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%28%5Cstackrel%7Bbase%7D%7B8%7D%29%28%5Cstackrel%7Bheight%7D%7B8%7D%29%20%5Cright%5D%7D~%2B~%5Cstackrel%7B%5Ctextit%7Barea%20of%20the%203%20rectangles%7D%7D%7B3%288%5Ccdot%208%29%7D%5Cimplies%2064%2B192%5Cimplies%20256)
since each edge is 8 inches, that simply means the right-triangle has a base of 8 and a height/altitude of 8 as well.
and since the triangular prism is really just two triangles and 3 rectangles, as you see there, we can simply get the area of each figure and sum them up, and that's the surface area of the prism.
Answer:
Lowest Current : c=0 and 6 Amp
Highest Current : 3 amp
Step-by-step explanation:
We are given our function as
We are asked to determine the values of current c at which the power P(c) is equal to 0
Hence
Now we solve the above equation for c
subtracting 180 from each side we get
Dividing both sides by -20
Taking square root on both sides
c-3= ±3
adding 3 on both sides
c=±3+3
hence
c= 0
or
c=6
At c=0 and 6 amperes the power will be minimum
Now we have to find the c at which the power will be the highest
Represents a parabola
subtracting 180 from both sides we get
Comparing it with standard parabola
(h,k) will be the coordinates of the vertex
Hence here
h=3 , k = 180
Hence in this equation
The vertex will be (3,180)
Or at c=3, P = 180 the maximum