FROM A SQUARE SHEET OF CARDBOARD OF SIDE 20cm ,SECTORS OF ECAH RADIUS 7cm IS CUT OFF FROM EACH CORNER. THEN AREA OF REST OF THE CARDBOARD IS

246 cm^2

Step-by-step explanation:

Area of the rest of cardboard = Area of square - Area of the 4 sectors

Kindly note that at each corner of the cardboard, the angle is 90 degrees

Area of square = L^2 = 20^2 = 400 cm^2

Area of a sector = theta/360 * pi * r^2

Since we have 4 sectors;

Area of sectors =4 * 90/360 * 22/7 * 7 * 7

= 22/7 * 49 = 22 * 7 = 154 cm^2

Area of the remaining part of cardboard = 400 cm^2 - 154 cm^2 = 246 cm^2

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.