Assuming you're rounding to the nearest ten-thousand, Smallest is 165,000and largest is 174,000
Answer:

Step-by-step explanation:
Given


Required
Find CD
This question is represented with the attached triangle
To solve CD, we make use of tan formula.

Substitute 12 for DE

Make CD the subject


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Answer: The director can choose first a lead singer and then a stand-in for the lead singer in 132 ways.
Step-by-step explanation:
Given : The total number of singers auditioning for the school musical.= 12
The director wanted choose first a lead singer and then a stand-in for the lead singer.
We use Permutations here because order of selecting the singers matters.
The number of permutations of selecting r things out of n things = 
Similarly , the number of ways to select 2 singers in an order from 12 singers


Hence, the director can choose first a lead singer and then a stand-in for the lead singer in 132 ways.