Find the area of a triangle with an 11-inch base and a 6-inch height. A =
1 answer:
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Answer:
Step-by-step explanation:
From the question we are told that:
Loudness function
Sound of a person
Number of persons talking
Generally the Relative intensity for 20 people is mathematically given by
Relative intensity for
Relative intensity for
Generally the loudness for 20 people is mathematically given by
Therefore increase in loudness X is given as
Answer: x = 5
Step-by-step explanation:
The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.
l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72
Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.
x^2 + 7x - 60 = 0
Apply the quadratic formula
We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.
x = 5 and x = -12
An alternate way is just factoring the trinomial to:
(x+12)(x-5) = 0