Answer:
14.6 to the nearest tenth.
Step-by-step explanation:
Length of DE = √([ 7-4)^2 + (8-3(^2] = √(34)
Length of EF = √([ 9-7)^2 + (5-8)^2] = √(13)
Length of FD = √([ 9-4)^2 + (5-3)^2] = √(27)
So the perimeter = √(34) +√(13) + √(27)
= 14.63
= 14.6 to the nearest tenth.
Each time is 3 and add all those up up will get your answer hope this helps
(a) This is the same as computing 4⁵⁵ (mod 11). We have
4² ≡ 16 ≡ 5 (mod 11)
4³ ≡ 4 • 5 ≡ 20 ≡ 9 (mod 11)
4⁴ ≡ 4 • 9 ≡ 36 ≡ 3 (mod 11)
4⁵ ≡ 4 • 3 ≡ 12 ≡ 1 (mod 11)
Then from here,
4⁵⁵ ≡ (4⁵)¹⁰ • 4⁵ ≡ 1¹⁰ • 1⁵ ≡ 1 (mod 11)
(b) Each term in the sum
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
has a common factor of 4ⁿ, so this sum is the same as
4ⁿ (1 + 4 + 16 + 64 + 256) = 4ⁿ • 341 = 4ⁿ • 11 • 31
So the sum is indeed divisible by 11 for all integers <em>n</em>.
(c) Since 4ⁿ = (2ⁿ)², we know the sum is also divisible by 11 when <em>a</em> = 2.
Answer:
Step-by-step explanation:
5
Answer:
150n is answer odd this q
