Answer:

Step-by-step explanation:
Given that , the sum of the first nine terms of an arithmetic series is 162 and the sum of the first 12 terms is 288.

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• The sum of n terms of an AP is
• nth term of an AP is given by ,

Answer:
37/40
Step-by-step explanation:
There are 3 numbers between 1 and 40 that are a multiple of 13: 13,26,39.
So, your probability should be 40-3/40, = 37/40.
Answer:
see explanation
Step-by-step explanation:
Her error is in squaring (2y)²
She has (2y)² = 2y²
when it should be 2y × 2y = 4y²
Then
(2y)² = 6² + 8²
4y² = 36 + 64
4y² = 100 ( divide both sides by 4 )
y² = 25 ( take square root of both sides )
y =
= 5
Let C and d be the circumference and diameter of a circle, respectively. Then
C = πd
so that
π = C/d = C/12
One solution to your problem is 15(1-2x)