If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
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In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.
Answer:
B. Dan walked uphill, then downhill.
Step-by-step explanation:
The place that the slope went up is based on the distance from the starting point, so the distance is up then down. I hope this helped and please mark me as brainliest!
Answer:
the star is quadrant 2
Step-by-step explanation:
Find the intersection of the following sets.<br><br>a= 1,2,3,4,5,6,7,8 b= 2,4,6,8,10<br>
Neporo4naja [7]
{2,4,6,8}
Intersection means common elements in both sets
Answer:
12.699
Step-by-step explanation:
i think if you do 26-22.4, you get the leg of the small triangle which is 3.6
then do Pythagorean theorem
3.6^2 + x^2 = 13.2^2
12.96 +x^2 = 174.24
174.24-12.96
x^2 = 161.28
take square root
x = 12.699
