90 - 40 = 50
Complementary angles add up to 90 degrees.
If one angle is 40 degrees less than the other, you just put it into an equation where 40 is subtracted from 90.
The answer would then be 50 degrees.
Answer:
16 pies
Three-Quarters of 16 is 12, and if you sell 12, then you have a quarter which is 4, which ends up being every quarter which equaled 4
Suppose the length of the fence perpendicular to the central partition is x. Then the total length of the fence (L) for enclosed area A is
.. L = 2x +3*A/x
The derivative of this with respect to x is
.. L' = 2 -3A/x²
L will be minimized when this is zero.
.. 0 = 2 -3A/x²
.. x² = 3A/2
.. x = √(3A/2)
For this value of x, the total length of fence is
.. L = 2√(3A/2) -3A/√(3A/2)
.. L = 4√(3A/2) = 2√(6A)
For this problem, A = 14,900 ft², so
.. L = 2√(6*14,900 ft²) ≈ 597.997 ft
The smallest length of fence required to fence the rectangular area is 598 ft.
The first answer angle AB is congruent to angle DE