CPhill

.434343...... =  43/99

.090909.....  = 9/99  = 1/11

.7777..... = 7/9

So .....(1/11) x (7/9) =  7/99

(1/3)⁴  =  (1/3)² * (1/3)²   =  (1/9) * (1/9)  = 1/81

1.272727......  =  1 + (27 / 99)   = 126 /99  = 42/33 = 14/11

The surcace area is given by

pi * r ( r + L)      where r is the radius and L  is the slant height  .... so we have

pi* 3(3 + 4)   =   pi* 3(7)  =  21 pi   = 65.97 sq cm

1/7  =  (.142857).........

Note  2007/6 = 334 + 3/6    ....so the 2007th digit is the "2"  in the repeated cycle

The height, h, is given by:

100tan52 - 100tan49  = 100(tan 52 - tan 49)  =  about 12.96 m

SEVEN - S  =  "EVEN"

3.7777......  =  3 + 77/99  = 3 +7/9  = 34/9

I edited this one for a previous mistake......!!!!

I assume you want to solve this :

-3(x-2)² +3  = 0       subtract 3 from both sides

-3(x - 2)^2  = -3     divide both sides by -3

(x -2)^2  = 1         We could use the quadratic formula here, but the square root property is easier and faster

Take the square root of both sides

x -2  = ±√1     →     x - 2 = ±1

This says that  x - 2  = 1  or  x - 2 = -1      adding  2 ro each side of both equations... we have that x = 3 or x = 1