Answer:
3145
Step-by-step explanation:
Answer:
- Base Length of 68cm
- Height of 34 cm.
Step-by-step explanation:
Given a box with a square base and an open top which must have a volume of 157216 cubic centimetre. We want to minimize the amount of material used.
Step 1:
Let the side length of the base =x
Let the height of the box =h
Since the box has a square base
Volume
Surface Area of the box = Base Area + Area of 4 sides
Step 2: Find the derivative of A(x)
Step 3: Set A'(x)=0 and solve for x
Step 4: Verify that x=68 is a minimum value
We use the second derivative test
Since the second derivative is positive at x=68, then it is a minimum point.
Recall:
Therefore, the dimensions that minimizes the box surface area are:
- Base Length of 68cm
- Height of 34 cm.
Answer:
The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.
Step-by-step explanation:
Let the width of rectangular solid be x
We are given that the length of the container must be one meter longer than the width
So, Length of solid = x+1
We are also given that height must be one meter greater than twice the width
So, Height of solid = 2x+1
So, Volume of solid =
Volume of solid =
Volume of solid =
Volume of solid =
We are given that a rectangular solid must have a volume of 84 cubic meters
So,
On equating
x-3=0
x=3
So, Length of solid = x+1=3+1 = 4 feet
Height of solid = 2x+1 =2(3)+1=7 feet
Width of solid = 3 feet
Hence The Length , width and height of solid are 4 feet , 3 feet and 7 feet respectively.
Answer:
BC ≈ 98.95 feet
Step-by-step explanation:
From the figure attached,
A shark is swimming 42 feet below sea level at point A and a boat on the water is at point C.
If the angle of depression from the coat to shark is 23°,
tan(23°) =
tan(23°) =
BC =
BC =
BC = 98.947
BC ≈ 98.95 feet
Answer:the answer is D. All of the above
Step-by-step explanation: