Answer:
V(max) = 8712.07 in³
Dimensions:
x (side of the square base) = 16.33 in
girth = 65.32 in
height = 32.67 in
Step-by-step explanation:
Let
x = side of the square base
h = the height of the postal
Then according to problem statement we have:
girth = 4*x (perimeter of the base)
and
4* x + h = 98 (at the most) so h = 98 - 4x (1)
Then
V = x²*h
V = x²* ( 98 - 4x)
V(x) = 98*x² - 4x³
Taking dervatives (both menbers of the equation we have:
V´(x) = 196 x - 12 x² ⇒ V´(x) = 0
196x - 12x² = 0 first root of the equation x = 0
Then 196 -12x = 0 12x = 196 x = 196/12
x = 16,33 in ⇒ girth = 4 * (16.33) ⇒ girth = 65.32 in
and from equation (1)
y = 98 - 4x ⇒ y = 98 -4 (16,33)
y = 32.67 in
and maximun volume of a carton V is
V(max) = (16,33)²* 32,67
V(max) = 8712.07 in³
Answer:
Step-by-step explanation:
In triangle XYZ, the lengths of sides are
If 
then
and
The greatest angle is opposite to the greatest side, the smallest angle is opposite to the smallest side, so
- the greatest side is
- the greatest angle is 
- the smallest side is
- the smallest angle is 
Thus,
Answer:
27.73
Step-by-step explanation:
You do 3.25 x 7.3= 23.725 so you round the 2 up to a 3. So then you do
23.73+ 4.00= 27.73
9 * 20 will be 180 ft^2 so 180 is your answer
Answer:
The answer is 78 degrees
Step-by-step explanation:
took k12 test
