Answer:
1232
Step-by-step explanation:
213456789
Question Continuation:
if (a) the books can be arranged in any order?
(b) the mathematics books must be together and the novels must be together?
Answer:
(a) 3628800 ways
(b) 17280 ways
Step-by-step explanation:
Given



Solving (a): In any order
This implies that there is no restriction and the novels, mathematics and biology book are just seen as books.
Total number of books is:



The number of arrangement is:


(b):
If the mathematics books are together, there are 4! different arrangements
If the novels are together, there are 5! different arrangements
Now, there are 3 bundles.
- The mathematics books as 1
- The novels as 1
- The biology book
This can be arranged in 3! ways.
Total number of arrangement is:



The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.
<h3>Translation of shapes in the Cartesian plane</h3>
Form the task content;
- It follows that the initial rectangle A is only translated and hence, the size of each of its sides remains constant.
The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.
Read more on translation in the Cartesian plane;
brainly.com/question/5471952
Answer:
r= RE/I
Step-by-step explanation:
E=I(R+r)
divide both sides by I
E/I = R+r
subtract both sides by R
R(E/I) = r
r = RE/I