Answer:
- 8050
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a + (n - 1)d
where a is the first term and d the common difference.
We require to find both a and d
Given the 9 th term is 2.5 , then
a + 8d = 2.5 → (1)
Given the sum of the second and fifth term is 27, then
a + d + a + 4d = 27, that is
2a + 5d = 27 → (2)
Multiply (1) by - 2 and add to (2) to eliminate a
- 2a - 16d = - 5 → (3)
Add (2) and (3) term by term
- 11d = 22 ( divide both sides by - 11 )
d = - 2
Substitute d = - 2 into (1) and solve for a
a - 16 = 2.5 ( add 16 to both sides )
a = 18.5
The sum to n terms of an arithmetic sequence is
= 
[ 2a + (n - 1)d ], thus
= 50 [ (2 × 18.5) + (99 × - 2) ] = 50(37 - 198) = 50(- 161) = - 8050
Answer:
I'm not sure if you mean the type of triangle or the other number but I'm pretty sure it's an equilateral triangle and the the number is 8.
Step-by-step explanation:
Answer:
B ) The slope of the triangle P and Q is equal to 2
Step-by-step explanation:
slope of a line, in this case is hypotenuse, is given by rise by run.
For triangle P
Here rise is 6 units and run is 3 units
slope= rise/run = 6/3 = 2
Also for triangle Q
rise is 3 and run is 1.5
hence slope= 3/1.5=2
hence 2 is the answer
Answer:
(5, 21)
Step-by-step explanation:
We check for a point where the y coordinate isn't four times the x coordinate.
Their are 3 numbers less than 4 on a die with 6 sides so 3 is 50% of 6 so then it should land on a number less than 4 50% of the 600 rolls to get 300
