Answer:
First box ⇒ 3.6 x 10^-1
Second box ⇒ 3.1 x 10^6
Third box ⇒ 5.3 x 10^-6
Fourth box ⇒ 4.2 x 10^-1
Step-by-step explanation:
I used a calculator and solved it :)
When that equation is graphed, it produces a straiught line. The slope
of the line is 5, and the line intersects the y-axis at y=6.
Answer:
B = 155° , C = 25° , D = 155°
Step-by-step explanation:
Given
A = 25°
C = A = 25° [ Vertically Opposite angles ]
Now
A + B = 180°( being linear pair)
25° + B = 180°
B = 180° - 25°
B = 155°
Also
D = B = 155°( vertically opposite angles )
180 mins to walk 12 miles :)
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.
