Answer:
Length inches
Width inches
Step-by-step explanation:
Let = length of rectangle,
= width of rectangle
Given the area and the perimeter of the rectangle, we can write:
So:
Now, we can use substitution to find the value of :
(Quadratic equation)
∴
We can use substitution again to find the value of
∵ Length usually refers to the longer side of a rectangle, ∴ length inches and width
inches.
Hope this helps :)
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.