Answer:
a) The order of αβ is 9 and αβ is an even permutation
b) See proof
Step-by-step explanation:
a) Given that: α is a cycle of length 3 and β a cycle of length 9.
We want to find the order of αβ .
The order of αβ is the LCM of the length of the disjoint cycles.
Therefore the order is the LCM of 3 and 9 which is 9.
Since α is a cycle of length 3 and β a cycle of length 9, and (3-1)+(9-1)=10, the permutation αβ is even.
b) We want to show that, for every positive integer n,
Proof:
Expanding from left, we have
Since α and β commutes, we rearrange to get:
We simplify on the right to get:
Answer C
when you multiple 425.32 and 981.21 you get 417,328.237 so the answer would be “about”400,000.
Answer:
148ft
Step-by-step explanation:
To solve this question, you'll have to imagine the statue makes a right angle triangle with the base since it has an angle of elevation from the base to the top of the torch.
Assuming the height from the pedestal to the top of the torch is y
The height of the statue is x
But we know the height of the pedestal = 150ft
The distance from the observer to the base of the pedestal = 250ft
And the angle of elevation = 50°
See attached document for better illustration.
Tanθ = opposite / adjacent
θ = 50°
Adjacent = 250
Opposite = y
Tan50 = t / 250
y = 50 × tan50
y = 50 × tan50
y = 50 × 1.1917
y = 297.925ft
The height of the statue from the base of the pedestal to the top of the torch is 297.925ft
The height of the statue = x
x = (height of the statue + height of the pedestal) - height of the pedestal
x = y - 150
x = 297.925 - 150
x = 147.925ft
Approximately 148ft
The height of the statue is 148ft
Answer:
theres no picture
Step-by-step explanation:
soooo[oooooo
It would probably be 2 seconds per meter. Carlos is going at a speed of 2 SECONDS PER METER. (Also, I doubt that's possible.)