Answer: 3 equal sides a 3 vertices
Step-by-step explanation:
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.
Answer:
Yukio will pay $2 per ounce for the confetti
Step-by-step explanation:
Divide 12 and 16 that equals 0.75 then multiply 0.75 by 2 four times. and you get 2
Answer:
90 mph
Step-by-step explanation:
Against wind DATA:
distance = 600 miles ; time = 5 hrs. ; rate = 600/5 = 120 mph
With wind DATA:
distance = 600 miles ; time = 2 hrs ; rate = 600/2 = 300 mph
Equations:
p + w = 300
p - w = 120
2p = 420
p = 210 mph (speed of the plane in still air)
Since p+w = 300, w = 300-210 = 90 mph (speed of the wind)
