You can model the population of a certain city between 1945-2000 by the radical function p(x)=55,000√x-1945. using this model in which year was the population of that city 165,000?

  In 1954 the population of the city became 165,000.

Step-by-step explanation:

Given : You can model the population of a certain city between 1945-2000 by the radical function

To find : Using this model in which year was the population of that city 165,000?

Solution : The model of the function is

where p(x) is the population and x is the time (in years)

To find the year in which population reach 165,000

p(x)= 165,000, substitute the value in p(x)

Squaring both side,

So, In 1954 the population of the city became 165,000.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

⭐dhruv⭐