Answer:
75600
Step-by-step explanation:
We are given that a word MATHEMATICS
Total letters =11
M repeated 2 times
T repeated 2 times
A repeated 2 times
Total vowels=4
Let MTHMTCS=P
Total number of ways in which MTHMTCS can be arranged=
PAEAI
Total number of ways in which PAEAI can arranged=
Total number of arrangements when all consonant appear together=
Total number of arrangements when all consonant appear together=
By using formula ;
240 sec + 45 sec= 285 sec
Hey!
Since they are 45-45-90 triangles, the two legs are <u>equal</u><u>.</u>
<u />
Therefore x is 
Now, the hypotenuse, y, is the same as any leg times 
So we do
*
which is
.
Now we need to simplify that.
is the same as
which is
which is 
Hope this helps! :DD