Steps to solve:
k + 10 = 27
~Subtract 10 to both sides
k = 17
Best of Luck!
Answer:
sin
^2(x)
Step-by-step explanation:
Answer:
In the case of the equilateral triangle, , the exterior angle, plus 60 equals 180. Subtracting 60 from both sides of this equation gives us a value of equal to 120. This means that the exterior angle of an equilateral triangle is equal to 120 degrees. The sum of all the exterior angles is always 360 degrees.
Step-by-step explanation:
Answer:
Step-by-step explanation:


Volume = 
find partial derivatives using product rule

i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3