Let Fred and Gwynn occupy any two chairs....and they can be seated in 2 ways
The other 4 people can be seated in 4! = 24 ways
So
2 * 24 =
48 ways
All circles are similar......the scale factor of S to L = 1/2
Area of S =
Area of L * scale factor^2 =
(pi * 8^2) * (1/2)^2 =
64 pi / 4 =
16 pi ≈
50.24 mm^2
N = what Noah sold
N + 45 = what Max sold
N - 40 = what John sold
N + N + 45 + N - 40 = 350
3N + 5 = 350
3N = 350 - 5
3N = 345
N = 345 / 5 = 69
N - 40 = 69 - 40 = 29 = what John sold
Area of APB = (1/2) 4^2 = 8
BD = 2*BP = 2*4 = 8
And snce angle DBC = 45°, then BD = Dc
Area of BDC = (1/2)(8^2) = 32
Area of ABCDP =
8 + 32 =
40
x^2 + 13x+ 30 = (x + 10) (x + 3)
x^2 + 6x + 9 = (x + 3) ( x + 3)
a + b + c =
10 + 3 + 3 =
16
-2
( 3x + 2) ( 3x - (-2) ) =
(3x + 2) (3x + 2) =
(3x + 2)^2
*****
i^5 + i^(-25) + i^45
i^5 = i
i^45 = i
i^(-25) = 1 / (i^25) = 1 / i^25 = ( 1 * i^3 ) / ( i^25 * i^3) = -i / (i^28) = -i /1 = -i
( i ) + ( -i ) + ( i ) =
i
CM = OM - OC = 36 - 32 = 4
So MB = 4
So OB = OM + MB = 36 + 4 = 40 = the radius of the largest circle
So AO = 40
And AO + OC = 40 + 32 = 72 = AC
Arc length = (55/360) * 28 ≈ 4.28 cm
