The area of the cross section of the column is 
Explanation:
Given that a building engineer analyzes a concrete column with a circular cross section.
Also, given that the circumference of the column is
meters.
We need to determine the area of the cross section of the column.
The area of the cross section of the column can be determined using the formula,

First, we shall determine the value of the radius r.
Since, given that circumference is
meters.
We have,

Thus, the radius is 
Now, substituting the value
in the formula
, we get,


Thus, the area of the cross section of the column is 
Roper is not using a simple random sample. The samples are calculated to get 500 males and 500 females. This would be very unlikely or improbable to take place in a simple random sample. The design that they are using is a stratified sampling (dividing the population into groups) with 2 strata and these are the males and females.
Answer:
Step-by-step explanation:
To find the HCF of 144 and 180
By using product of prime method
Firstly express 144 as a product of it prime and express 180 as a product of it prime
140=2×2×2×2×3×3
180=2×2×3×3×5
Common factor =2×2×3×3
36
in term of m
m=36
13m-3
To find m
Substitute for m when m=36
13(36)-3=
465
Answer:
There are 11550 possible selections
Step-by-step explanation:
Given


Required
How many ways can 4 men and 4 women be selected
The keyword in the question is SELECTION and it means COMBINATION;
So, number of selection is:


This gives










Hence;
<em>There are 11550 possible selections</em>
Answer:
72
Step-by-step explanation:
When an expression contains more than one sign, the rule of BODMAS is applied. Bracket of Division Multiplication Addition and Subtraction. And the signs will be solved in that order.
6[4x(72-63) divided by 3]
We solve the bracket first
(72-63)
9
The next is multiplication, inside the bigger bracket.
6[4x9 divided by 3]
Then division
6(36 divided by 3)
6(12)
72