Answer:
nopeeeeeeeee
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:
x =12
Step-by-step explanation:
The two angles are complementary, so the add to 90 degrees
5x+1/2x +24 = 90
Combine like terms
5 1/2 x +24 = 90
Subtract 24 from each side
5 1/2 x = 90-24
Change the mixed number to an improper fraction
11/2 x = 66
Multiply by the reciprocal 2/11 on each side
2/11 *11/2 x = 66*2/11
x = 6*2
x =12
Let's say side length is s.
s*s = 500, so s = √500.
4 sides needed, total length thus 4*s.
4√500 ≈ 89.4
Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house
Let 'C' be the point of observation.
Given CA= 16 ft
From right angle triangle
x = 16 × cos 68°
x = 16 × 0.4067
x = 6.5077
x = 6.5 ft
The length of the ladder = 6.5 ft
