the catalogue price of an article is rs.50000 and a manufacturer sells it to the distributor at a discount of 20% of the catalog
1 answer:
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Answer:
Step-by-step explanation:
Using the Pythagorean identity
sin²x + cos²x = 1, then
sinx =
Note that ()² =
sinΘ =
= =
Let us denote the smaller even integer by 
.
Then, the next even integer must be
.
To verify, set as any even number, say 
.
Then, the next even integer must be 2 more than this number, i.e.
.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this:
Then, the next even integer must be
To verify, set
Then, the next even integer must be 2 more than this number, i.e.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this:
This is the isosceles right triangle, the diagonal of a square, the thing that so upset the Pythagoreans. The two sides and diagonal of a square are in ratio so we get
We could have also gotten this using Trig:
Or by recognizing u=v because remaining angle is 45 so this must be isosceles so