Answer:
gift 1:
424 cm^2
570 cm^3
gift 2:
1420.5 cm^2
3622.5 cm^3
Step-by-step explanation:
We have to calculate the surface area of these gifts in order to know the amount of wrapping paper.
The formula for the surface area is:
A = 2*ab + 2*ac + 2*bc
Gift 1:
A = 2*6*10 + 2*6*9.5 + 2*10*9.5
A = 424 cm^2
That means that gift 1 needs 424 cm^2 of wrapping paper
Gift 2:
A = 2*14*17.25 + 2*14*15 + 2*17.25*15
A = 1420.5 cm^2
That means that gift 2 needs 1420.5 cm^2 of wrapping paper
Now, to calculate the cubic centimeters of packaging peanuts, we calculate the volume, the volume has as formula:
V = a*b*c
Gift 1:
V = 6*10*9.5
V = 570 cm^3
This means that gift 1 needs 570 cm^3 of packaging peanuts
Gift 2:
V = 14*17.25*15
V = 3622.5 cm^3
That means that gift 2 needs 3622.5 cm^3 of packaging peanuts
Answer:All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle.
Hope it helps...
Answer:
5(1248 lb/horse + t lb) ≤ 8000 lb
Step-by-step explanation:
One way to do this is to find the average weight of the 5 horses:
It is:
6,240 lb
---------------- = 1248 lb/horse
5 horses
and to this, for each horse, we must add t lbs tack.
Thus, 5(1248 lb/horse + t lb) ≤ 8000 lb
would be an appropriate inequality.
Please note that your question mentions "the following inequalities;" that means you are expected to share them! Please do so next time. Thanks.
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The amount charge per year is 
The number of members it will have at this amount is 
The amount amount increase that will lead to the loss of a single member is 
Generally the total amount the club would obtain from its members is mathematically represented as

Now let x denote the number of member lost
Hence

=> 
=> 
Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero

=> 
So from
we have


So the amount the club should charge is

