A pile of 10 000 paper is 89 cm thick. How thick is one sheet of paper?
1 answer:
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Answer:
x (smallest to largest) = 0,45 ,55
y (smallest to largest) = 0,10,40
Step-by-step explanation:
(hours) Dinghy Rowboat Labor Available
Metal Work 2 3 120
Painting 2 2 110
Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.
So, total hours for metal work =
So, total hours for Painting =
So, equation becomes:
Plot the inequalities
Refer the attached figure
So, the vertices of the feasible region are (0,40),(45,10) and (55,0)
So, x values are 0 , 45 and 55
x represents the number of dinghies
So, x (smallest to largest) = 0,45 ,55
y values are 40,10,0
y represent the number of rowboats.
So, y (smallest to largest) = 0,10,40
The sum of the inner angles of any triangle is always 180°, i.e. you have
In the particular case of an equilater triangle, all three angles are the same, so
and the expression becomes
which implies
So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.
Of course, this is equivalent to a clockwise rotation of 120 degrees.
Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)