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
Answer:
tan T = 3/4
tan U = 4/3
Step-by-step explanation:
The tangent ratio is opposite / adjacent. The ratio will vary for each angle since the perspective of each angle will be different. For example Angle T has an adjacent side of 4 while Angle U has an adjacent side of 3. The tangent ratios for Angles U and T are listed below:
tan T = 3/4
tan U = 4/3
Answer:
Number 27:Population density refers to the number of people who live in a defined land area (usually square miles or square kilometers). So, if two million people live in ten square miles, the population density is two hundred thousand people per square mile.
Number 29:Your heart beats about 100,000 times in one day. And about 35 million times in a year.And 128 beats in one minute
Step-by-step explanation:
Answer:
57, 53, 49, 45
Step-by-step explanation:
Substitute for the n for n=1,2,3,4 so the first term is 57-4(1-1) so =57-4(0) so
a(1) = 57-0 = 57 so that is the 1st term
2nd term 57-4(2-1) so =57-4(1) so a(2) = 57-4 = 53, etc.
1/3 of an hour = 20 minutes
8 hours = 480 minutes
So to find the number of periods we divide 480 by 20. Answer is 24
