Answer:
59.5
Step-by-step explanation:
First we have to multiply 7 by 17 (7x17).
Then you have to divide it by 2.
1/2 X base x height
X+2y = 9 ---------eq.1
x-y =6 ----------- eq.2
x = 9 -2y (from eq. 1)
Now substitute the value of x in the second eq.2
9-2y-y =6
-3y = -3
y =1
So,
x +2 (1)= 9
x= 7
It would round up to 31 because the decimal place is greater than 5
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
1.) .777777778
2.) .8
3.) .6
4.) .285714286
5.) .15
