Answer:
22.5
Step-by-step explanation:
If you expand the series, you can see the first few terms of the series:
- Putting 1 in
, 
- Putting 2 in ,
- Putting 3 in ,
- Putting 4 in ,
We can see the series is 0, 0.5, 1, 1.5, ....
This is an arithmetic series with common difference (the difference in 2 terms) 0.5 and first term 0.
We know formula for sum of arithmetic series:
Where,
denotes the nth partial sum
is the first term (in our case it is 0)- is the term (in our case it is 10 since we want to find 10th partial sum -- sum until first 10 terms)
is the common difference (difference in term and the previous term) (in our case it is 0.5)
Substituting these into the formula, we get the 10th partial sum to be:
So the sum of the first 10 terms is 22.5. Third answer choice is right.
For second one
Vertex is (-3,0)
There is only one x intercepts
Answer:
60cm²
Step-by-step explanation:
The area of a rhombus is: A=d1×d2/2, where d1 and d2 are its diagonals.
A=10×12/2=60cm²
CD is congruent to XY, DA is congruent to YZ and AC is congruent to ZX even tho i'm not able to see properly your image
