Answer: SP=5 cm
Step-by-step explanation:
Since, Here PQRS is a kite where PR and SQ are the diagonals of the kite.
Let, PR is the major diagonal of the kite PQRS.
And let T is the intersection point of the diagonals.
Thus by the property of the kite diagonal PR bisect SQ with right angle.
⇒ 
Therefore, 
⇒
=
( we can not take the negative value of root)
But, PQ=SP
Therefore, SP= 5 cm
Note: If we take SQ as the major diagonal then we also get the same result.
Answer:
0.01785714285
Step-by-step explanation:
Answer:
So 
Step-by-step explanation:
Since we are dividing by a linear factor, I'm going to use synthetic division.
Since the linear factor that we are dividing by is (x-5), I'm going to put 5 on the outside:
5 | 1 -12 8
| 5 -35
|--------------------------
1 -7 -27
So the quotient x-7 while the remainder is -27.
So 
You could do long division if you prefer:
x-7
------------------------
(x-5) | x^2-12x+8
- (x^2-5x)
--------------------------
-7x+8
-(-7x+35)
---------------------
-27
You still get the same thing that the quotient is x-7 and the remainder is -27.
Answer:
598 books
Step-by-step explanation:
Let x be the number of books in the 3rd pile. We will have then:
1st pile: 2x + 10
2nd pile: 2x
3rd pile: x
3000 = (2x + 10) + (2x) + (x)
3000 = 5x + 10
3000 - 10 = 5x
2990 = 5x
2990/5 = x
x = 598 books in the third pile!
We can check that:
3000 = 2*598 + 10 + 2*598 + 598
3000 = 1196 + 10 + 1196 + 598
3000 = 3000 CHECK!