For a class project, a teacher cuts out 15 congruent circles from a single sheet of paper that measures 6 inches by 10 inches. how much paper is wasted? (60 – 15π) square inches 15π square inches 45 square inches (60 – π) square inches

60 – 15π square inches

Step-by-step explanation:

Assuming a diameter of 2 inches for each circle, then because the height of the sheet is 6 inches and the length is 10 inches, 5 columns of 3 circles each, are formed (see picture attached).

The area of each circle is: (π*D^2)/4 = (π*2^2)/4 = π square inches

The area of the 15 circles is: 15π square inches

The area of the sheet is = 6*10 = 60 square inches

The wasted paper is equal to the difference between the area of the sheet and the area of all circles, that is, 60 – 15π square inches

i think c. but don't trust it.

step-by-step explanation:

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)