The answer is that I think it is 5
I assume the solid is a "regular hexagonal prism", by which it means that the cross section is a regular hexagon with all sides and angles equal.
Also, the exact apothem is 9.5262... but we will adopt the given value of 9.5.
First lateral surface area
A1=6*side length*height=6*11*20=1320 units
Then the end areas
A2=2 faces * 6 triangles/face * [base * height (apothem) /2]
=2*6*11*9.5/2
=627 units
Total area=1320+627=1947 units
Since we have a negative on the outside of the parenthesis, we can just say that this is -1. So now we have -1(-x + 1). when multiply a negative by a negative it cancels out into a positive. and multiplying a negative with a positive will give you a negative. So now we have x - 1.
Hhhhhhhhhhhhhhhhhhh the answer is 8
1. Observe the problem
2. Make a system of linear equations
x is pens
y is pencil
As stated in the text, x=2y
x=2y
7x+12y=6.50
Using substitution,
7(2y)+12y=6.50
14y+12y=6.50
26y=6.50
y=0.25
Substituting it back into the first equation:
x=2(0.25)
<h2><u><em>
x=0.5</em></u></h2><h2><u><em>
y=0.25</em></u></h2>
