The correct answer is (C)!
Since the area of the circle is 400π, 150π/400π = 135/360.
Answer:
+- 10n
Step-by-step explanation:
✯Hello✯
↪ We need to work out the nth term rule
↪ We can do this by finding the differences between the numbers and using the rules
2A
3A+B
A+B+C
↪ (Sorry I cant draw a table for you)
↪ Using the rules and drawing a table we get the final answer
+- 10N
❤Gianna❤
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Upper P (Upper B vertical line Upper A)
means
It means that probability of getting event B given that Event A is occurred.
D. The probability of event B occurring, given that event A has already occurred. is also expressed as
Hence, Option 'D' is correct.
Let's start by understanding that the graph is a linear line. We have a common difference if 4.5 for every 10x we have more.
We can start by finding the gradient, using rise over run. Let's take (10, 4.5) and (20, 9)
Our rise is 9 - 4.5 = 4.5 and our run is 10. Then, our gradient becomes 4.5/10 = 0.45
Now, we can substitute points using the point-slope form.
y - 4.5 = 0.45(x - 10)
y - 4.5 = 0.45x - 4.5
Hence, our line becomes y = 0.45x and you can verify by substituting in points from the table.
Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
