If you are selecting courses for next semester and you have 4 options to fill your science requirement, 2 options to fill your d
1 answer:
Answer: 160
Step-by-step explanation:
Given : The options to fill science requirement =4
The options to fill diversity requirement =2
The options to fill English requirement =5
The options to fill math requirement = 4
The Fundamental Counting Principle say that the number of total outcomes is equal to the product of the number of ways of all the events occur in the problem.
Using Fundamental Counting Principle, we have the total number of possible outcomes for the given situation :-
Hence, the total number of possible outcomes = 160
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Length of the rectangle is 51 inches
<u>Solution:</u>
Given that
Length of the rectangle in 34 miles less than 5 times its width
Area of rectangle = 867 square inches
Need to determine length of the rectangle.
Let assume width of the rectangle be represented by variable x.
So 5 times width of the rectangle =5x
34 inches less than 5 times width of the rectangle = 5x – 34
As Length of the rectangle in 34 miles less than 5 times its width
=> Length of the rectangle = 5x – 34
<em><u>The formula for rectangle is given as:</u></em>
As given that Area of rectangle = 867 square inches
On solving quadratic equation by using quadratic formula
In our case a = 5, b = -34 and c = -867
On substituting value of a, b and c in quadratic formula we get
Since x represents width, it cannot be negative, so x = 17
Length of the rectangle = 5x – 34 = 5(17) – 34 = 51
Hence length of the rectangle is 51 inches