Answer:
b = 4.6 ft
h = 2.3 ft
Step-by-step explanation:
The volume of the tank is given by:
Where 'b' is the length of the each side of the square base, and 'h' is the height of the tank.
The surface area can be written as:
The value of b for which the derivate of the expression above is zero is the value that yields the minimum surface area:
The value of h is then:
Rounded to the nearest tenth, the dimensions are b = 4.6 ft and h = 2.3 ft.
Answer:
The box is 7.5 in long.
Step-by-step explanation:
Calculate the total surface area of the sides of this box (neglecting the ends).
If the base is 3" by 3" and the length of the box is 6", then the total surface area (without ends) is 4 times 3" by x, or 12x in². 80% of this "lateral surface area" is 0.80(12x in²), or 9.60x in° and this 9.60x in² represents the surface area covered b y the label. That label surface area is 4(3 in by 6 in), or 72 in²
Equating 9.60x in² and 72 in² and solving for x yields x = (72 in²) / (9.60 in²:
x = 7.5 in
The box is 7.5 in long.
The length of the base is 6 and the length of each leg is 10.
In order to find this, we can start by making the length of the base x. Now we know that the legs are 4 longer we can mark them as x + 4. Since there are two of them, we can add x + x + 4 + x + 4 and set equal to 26 to find the value of x.
x + x + 4 + x + 4 = 26
3x + 8 = 26
3x = 18
x = 6
Now we can plug this in for our leg length as well to find that.
x + 4 = Leg
6 + 4 = Leg
10 = leg
X² + 2x +3
If the discriminent Δ = b²-4.a.c <0 , that means the roots (or the zero value) are nit REAL Number (they are imaginary or complex)
Δ = 2² - 4(1)3) = 4 - 12 = -8
since Δ = - 8 < 0 there are no real roots
The missing length is 13.... by using Pythagoras theorem.. l hope it helped??