A piece of string, 64cm long is divided in three piece in the ratio 1:2:5. Calculate the length of the longest piece.

40cm

Step-by-step explanation:

Piece of string is 64cm.

Divided in the ratio 1 : 2 : 5

Assuming 1x, 2x, and 5x as the pieces

Then,

⇒ 1x + 2x + 5x = 64

⇒ 8x = 64

⇒ 8x/8 = 64/8 [dividing both sides by 8]

⇒ x = 8

Henceforth, lenght of the longest piece would be 5x = 5(8) = 40cm

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula