4boys step off from the same place. if their steps measures 16cm,28cm,40cm and 77cm respectively. at what distance from the starting point will they step together again?

  6160 cm

Step-by-step explanation:

The distance will be the least common multiple of these numbers. That can be figured by looking at their prime factors and choosing the smallest product that contains them all.

  16 = 2⁴

  28 = 2²·7

  40 = 2³·5

  77 = 7·11

The factors we need to include are 2⁴, 5, 7, 11. The product of these is

  2⁴ × 5 × 7 × 11 = 6160

The boys will step together again after 6160 cm.

is there a graph

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)