It's either A or C but correct me if I'm wrong :)
Layla is creating a polygon with 4 equal sides in a circle.
This will be a regular polygon with 4 equal sides and 4 equal angles,
Layla is creating a square inside a circle.
Answer:
12 - x/11 > 8
12 -8 - x/11 > 8 -8
4 -x/11 > 0
4 -x/11 + x/11> 0 + x/11
4 > x/11
44 > x
x is less than 44
Step-by-step explanation:
Answer:
Samantha needs to pay $5 for the GST.
Step-by-step explanation:
In order to determine the amount of GST that Samantha needs to pay, you can use the rule of three to fnd the 5% given than 99.75 represents 100%:
$99.75→100%
x ← 5%
x=(99.75*5)/100= 5
According to this, the answer is that Samantha needs to pay $5 for the GST.
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
