Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Answer:
h(7) = 29
h'(7) = 44
Step-by-step explanation:
If 
, to find h(7) we can substitute the values of f(7) and g(7) and we get:
To find the derivative, we know that the derivative of a sum of functions equals the sum of the derivatives of those functions.
This would mean that 
, we can substitute the values for f'(7) and g'(7)
Answer:
(n-2)180 (this is the equation to find the sum of interior angles)
(4-2) 180 (plug in the amount of angles in the polygon and then solve)
2* 180
360
360 - 115 -100- 73= 72 (360 is the sum of all angles for this polygon. so subtract the known angles to find the unknown one)
measure of angle B is 72 degrees
Step-by-step explanation:
Answer:
-5x-8-11y
Step-by-step
Because you shift 10x to -10x and then 5x-10x = -5x
You leave the -8 the same
You do 3y to -3y and then do -3y -8y = -11y
Hence altogether you get, -5x -8 -11y
Answer:
The surface is a cylindrical surface with radius 7 units
Step-by-step explanation:
The equation is properly written as:
The above equation takes the form 
Where 
and 
r = 7 units
The surface is a cylindrical surface with radius 7 units
