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Yeah Great job!

The numbers will be  5   5  10  15  20

5 numbers mean = 11      5 x11= 55

there are  1+1+2+3+4 = 11 parts    each part = 5

the largest number has 4 parts of the 55       55/11 x 4 = 20 = biggest number

i not sure if it right 

When we multiply odd and even numbers,

The product of an even number with any number is even.

The product of two odd numbers is odd.

Proofs by arrays can be used here, but they are unwieldy. Instead, we will use the previous results for adding odd and even numbers. Here are examples of the three cases:

6 × 4 = 24, 5 × 4 = 20, 7 × 3 = 21.

The first and second products are even because each can be written as the sum 
of even numbers:

6 × 4 = 4 + 4 + 4 + 4 + 4 + 4 and 5 × 4 = 4 + 4 + 4 + 4 + 4.

The third product can be written as the sum of pairs of odd numbers, plus an extra 
odd number:

7 × 3 = (3 + 3) + (3 + 3) + (3 + 3) + 3.

Each bracket is even, because it is the sum of two odd numbers, so the whole sum is odd.

thank you bro

.....hmmmm     the question asks for mode = 6    not mode = 8

Explanation:

If the mean is 11 and there are 5 numbers then their sum is 5×11=55

We have the ratio of parts being a:b:c:d:e→1:2:3:4:5 so the total count of parts is 1+2+3+4+5=15

-x(x²​​+8)+ x⁴+ 8

x(x+2)+4

V = 1/3(Ah)
where A = 1/2(bh) (standard right-triangle)
so : V = 1/6(bhH)

Median: place the numbers you are given in value order and find the middle number. When the number of numbers is even, the median is the average of the two middle numbers.

In this case we have 6 numbers, so the median (5) will be the average between the 3rd and 4th number when all the positive integers are put in increasing order. (C+D)=10

The next thing we use is the mode (8), which is the most popular value. In a list of 6 numbers we have either two or three 8s.

Now using a bit of common sense, we can say that C and D cannot both be 5, as that would limit us to have only two 8s as E and F, which would mean 8 could not be the mode. Therefore, let’s try C and D as 4 and 6.

Now we have A,B,4,6,8,8

We know that the mean is 5, so we can set an equation.

(A+B+4+6+8+8)/6 = 5 * times both sides by 6

A+B+4+6+8+8 = 30

A+B+26 = 30

A+B = 30–26

A+B = 4

A and B could both be 2, but that would remove the ‘mode status’ from 8. Therefore, A and B have to be 1 and 3 in that order.

The six numbers are: 1,3,4,6,8,8

If the base is a square or rectangle , yes  , volume =  1/3 (base area * height)

Nope....building + tower will be 101.86 ft tall    ....assuming tower is on top of the building.

Tan 56 = (h+40)/d         h = height of building    d = distance from point to base of building

Tan 42 = h/d  

         d = h/tan42 = 1.1106 h    substitute this into the first equation

Tan 56 = 1.4826    SUbstitute this into the first equation too:

1.4826 = (h+40)/1.1106h

1.6465 h = h+40

,6465h = 40

h = height of building = 61.868 ft        add to this the tower height of 40 ft results in 101.86 ft tall ....too tall.

The volume of a triangular pyramid can be found using the formula V = 1/3AH where A = area of the triangle base, and H = height of the pyramid or the distance from the pyramid's base to the apex.

a   13 = x^2-23

    36 = x^2

     x = +6 and -6

b "Even Function. A function with a graph that is symmetric with respect to the y-axis. A function is even if and only if f(–x) = f(x)"

        Let's try   6  and -6   (which we already found  both equate to 13....so it is even)

c  -b/2a  is the x value of the vertex point    0/-2 = 0   

       to find y   sub x=0 into the equation  = -23                        Vertex = (0,-23)

d  Domain is all  x       (-inf , + inf)

          range is    all y >= -23              [-23, +inf)

No problem mate. 

Maybe     3,  6,  6,  6,  9 ?

Yah...a toughie!