Answer:

Step-by-step explanation:
A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,
In the given triangle ,
- Value of base = 1
- Value of hypotenuse = √2
On substituting the respective values ,
For rationalizing the denominator , multiply numerator and denominator by √2 , we have,
Simplify ,
Answer:
2/15
Step-by-step explanation:
5 is the answer. Hope this helps.
Using the <u>arrangements and the probability concept</u>, it is found that there is a 0.75 = 75% probability that the number formed is not divisible by 4.
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- The number of possible arrangements of n elements is given by

In this problem, there are 4 elements, hence
.
A number is a multiple of 4 if the <u>number composed by it's last 2 digits are multiples of 4</u>.
- Hence, the possible options for the last 2 digits are: 56, 68, 76.
- For each of them, there are
options for the first 2 digits, hence, there will be 2 x 3 = 6 multiples of 4.
The other 18 numbers formed are not divisible by 4, hence:

0.75 = 75% probability that the number formed is not divisible by 4.
For more on <u>arrangements and probabilities</u>, you can check brainly.com/question/24437717
Hello!
There are three possible lengths.
We need to keep in mind that the total area cant exceed
, so, knowing that, we just need to find numbers that can be multiplied giving as result 60.
First combination:

Second combination:

Third combination:

Have a nice day!