The number of widgets that a manufacturing plant can produce varies jointly as the number of workers and the time that they have worked. Find the constant of proportionality k to 2 decimal places if 160 workers work 16 hours and can produce 307.2 widgets.

Step-by-step explanation:

Let represent the number of widgets , w represents the number of workers and t represents the time they have worked. That is :

∝

introducing the proportionality constant k , we have

substituting the values given , we have

divide through by 2560

correct to 2 decimal places

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it