Two similar pyramids have base areas of 122 cm? and 16 cm? The surface area of the larger pyramid is 56 cm
What is the surface area of the smaller pyramid?
40.1 cm
42.7 cm
522 cm
59.8 cm

42.7 cm sq.

Step-by-step explanation:

small/large = 16 / 122

16/122 = S / 56

S = 56 * (16/122) = 7.34...

however not in the choice

ah ha..

You meant :    12.2 sq. cm :  16 sq. cm  = small / large

so   12.2 / 16 = S / 56 cm

S = 42.7 sq. cm

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)