Answer:
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
Step-by-step explanation:
Given
Volume of a box = length × breadth × height= l×b×h
In this case the box have a square base. i.e l=b
Volume V = l^2 × h
The surface area of a square box
S = 2(lb+lh+bh)
S = 2(l^2 + lh + lh) since l=b
S = 2(l^2 + 2lh)
Given that the box is open top.
S = l^2 + 4lh
And Surface Area of the box is 1200cm^2
1200 = l^2 + 4lh ....1
Making h the subject of formula
h = (1200 - l^2)/4l .....2
Volume is given as
V = l^2 × h
V = l^2 ×(1200 - l^2)/4l
V = (1200l - l^3)/4
the maximum point is at dV/dl = 0
dV/dl = (1200 - 3l^2)/4
dV/dl = (1200 - 3l^2)/4 = 0
3l^2= 1200
l^2 = 1200/3 = 400
l = √400
I = 20cm
Since,
h = (1200 - l^2)/4l
h = (1200 - 20^2)/4×20
h = (800)/80
h = 10cm
The largest possible volume V is ;
V = l^2 × h
V = 20^2 × 10 = 4000cm^3
In piecewise linear functions, the endpoint of one segment and the initial point of the next segment can have the same x-coordinate but a different value of f(x).
Such difference in values is called a step or discontinuity and such a function is called a discontinuous function.
Here in this case, there are 3 discontinuities: x=-3, x=3 and x = 5.
x = -3 because x is smaller than or greater than -3 but not equal.
x = 3 since greater than 3 in one of the inequalities.
x = 5 since x is smaller than 5 in one of the limits.
Answer
Sol: The correct answer is b. three planes that contain point B are ABD, AEF and DHF.
Answer:
8w² < 4w(150-w)
Step-by-step explanation:
Square area of living : w · w = w²
Money spent : 8 · w²
Square area of artichokes : (150 - w) · w
Money earned : 4 · w · (150 - w)
Julia manages to save some money every week. That means that the money earned is bigger than the money spent ( the money spent is less than the money earned)
8 · w² < 4 · w · (150 - w)
Answer:
Neither
Step-by-step explanation:
5 x -10 = -50
4 x 9 = 36
-50 + 36 = -14 and therefore can not be orthogonal
sqrt(25+16)=sqrt(41)
sqrt(100+81)=sqrt(181)
sqrt(41) x sqrt(181) is not equal to -14 so therefore it is not parallel
So the answer is then neither
