The number of phone calls between two cities, N, during a given time period varies directly as the populations p 1 and p 2 of the two cities and inversely as the distance, d, between them. If 18 comma 000 calls are made between two cities 310 miles apart and the populations of the cities are 15 comma 500 and 180 comma 000, how many calls are made between two cities with populations of 100 comma 000 and 160 comma 000 that are 435 miles apart?

∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.

Step-by-step explanation:

Given that,

The number of phone calls between two cities (N )

Given that,

N=18,000, d=310 miles,  =15,500 and =180,000

Now,

N=? , d=435 miles,  =100,500 and =160,000

∴73,563 calls are made between two cities with populations of 100,000 and 160,000 that are 435 miles apart.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you

60: 45 =12: 9 =4: 3 so the answer is 4: 3