Please help. My son and I don't get it
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Answer:
area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-
Step-by-step explanation:
- let, the shape of the bulletin board is a rectangle,
- then the perimeter of it = sum of all sides
= 2[length+width] = 2[l+w]
(let l: length, w : width )
- so, 200 = 2[l+w]
100= l+w ( dividing both the sides by 2)
so, l= 100-w
- area = length*width=l*w=[100-w]*w
- therefore,area A(w) of the bulletin board as a function of its width, w =[100-w]*w= 100w-
Given:
A prism with right triangular base.
Base of triangle = 6 ft
Height of triangle = 8 ft
Height of prism = 7
To find:
The volume of the given prism.
Solution:
The volume of prism is:
...(i)
Where, B is the base area and h is the height of the prism.
In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:
Substituting in (i), we get
Therefore, the volume of the prism is 168 cubic ft.