Mason brought chocolate and vanilla cupcakes to school for his birthday 12 students decided to take a cupcake and 25% took vanil
1 answer:
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Answer:
419.25
Step-by-step explanation:
The calculation of the cost of materials for the cheapest such container is shown below:-
We assume
Width = x
Length = 2x
Height = h
where, length =
Base area = lb
=
Side area = 2lh + 2bh
= 2(2x)h + 2(x)h
= 4xh + 2xh
Volume = 24 which is lbh = 24
Now, cost is
now we have to minimize C(x)
So, we need to compute the C'(x)
C"(x)
now for the critical points, we will solve the equation C'(x) = 0
So, x is a point of minima that is
=
Now, Base material cost is
= 139.75
Side material cost is
= 279.50
and finally
Total cost is
= 139.75 + 279.50
= 419.25
Answer:
Circumcenter theorem states that the vertices of the each triangle are equidistant from the circumcenter.
As per the statement:
It is given that: P is the circumference
From the given figure:
CP = 12 units.
then;
by circumcenter theorem;
AP= BP =CP = 12 units.
Next find the value of AB:
Labelled the diagram:
AD = 11 units
then;
AB = AD+DB
Since: AD=DB [You can see it from the given figure]
then;
AB = 2AD = 2(11) = 22 units
Therefore, the value of BP and AB are: 12 units and 22 units
