I believe the triangles are not similar. In order for the triangles to be similar, they would either need one more set of sides or angles to be congruent, but they only have one set of angles and one set of sides congruent. I am not entirely sure I am correct
Answer:
let the first term of an A.P. is 'a' and common difference 'd'
∴ 8th term = sum of the first 8 terms
a8 = S
a + 7d = 8/2(2a + (8 - 1)d)
a + 7d = 8/2(2a + 7d)
2a + 14d = 16a + 56d
16a + 56d - (2a + 14d) = 0
14a + 52d = 0
divide eq. by 14 we get ,
a + 3d = 0
and a + 3d = a4 = 0
The value of c is { c | c ∈ R, c ∉ {-1,0,2,12} }.
c is a number such that it is not in the set {-1,0,2,12} else we end up with a domain value having multiple range values, contradicting with the definition of a function.
Answer:
i think my brain just died what math are you doing
Step-by-step explanation:
The volume of the original cylinder is
... V = π·r²·h
For r=1 and h=1, this is
... V = π·1²·1 = π
For the new cylinder, the volume is 1.089 times that amount.
... V = 1.089π = π·1.1²·(1-k)
... 1.089/1.21 = 1-k
... k = 1 - 1.089/1.21 = 1 - 0.9 = 0.1 = 10%
The appropriate choice is (B) 10.
