Answer:
See below
Step-by-step explanation:
Here we need to prove that ,

Imagine a right angled triangle with one of its acute angle as
.
- The side opposite to this angle will be perpendicular .
- Also we know that ,


And by Pythagoras theorem ,

Where the symbols have their usual meaning.
Now , taking LHS ,

- Substituting the respective values,





Since LHS = RHS ,
Hence Proved !
I hope this helps.
Sorry for not giving you the calculation here -
5/12 and 2/9 have denominators divisible by only 3 right? Well The common denominator that can then change is 3 because that's the only number they have in common (except 1)
Answer:
30/552
Step-by-step explanation:
In order to solve this problem you need to multiply the probability of getting grape for the first gumball with the probability of getting grape for the second gumball. Since there are 6 grape gumballs and a total of 24 gumballs (6*4). Then the probability of getting grape for the firs one is

Now there are only 5 grape gumballs available and one less in the total supply, therefore the probability of getting grape in the second try is

Finally we multiply them together to find the probability of getting two grapes in a row.
= 
Answer:
2160
Step-by-step explanation:
Given : At a computer store, a customer is considering 10 different computers, 6 different monitors, 9 different printers and 4 different scanners. We assume that each of the components is compatible with one another and that one of each is to be selected. then by Fundamental counting principle , the number of different computer systems possible is given by :-
10x6x9x4= 2160
Hence, the number of different computer systems possible= 2160The Fundamental Counting Principle is a technique in Mathematics to calculate the number of possible outcomes by multiplying the events together .
HOPE THIS HELPED ;3