The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. by what percent must the number of workers be increased in order for the work to be completed in time, as it was scheduled originally?

 28 %

Step-by-step explanation:

Volume of a work = productivity × time × number of workers

Let V be the initial volume of the work , x is the initial productivity , n is the initial time and w be the initial number of workers.

Then, V = x × t × n ------ (1)

When, the volume of construction work was increased by 60%, productivity of labor increased by only 25% and time remains same,

Let w' be the new number of workers,

Then, 1.6 V = 1.25 x × t × n' -------(2)

After dividing equation (2) by equation (1),

We get,

Which is the new number of workers.

Thus, the percentage increase in the number of workers =

⇒The number of workers is increased by 28%.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: