Proportion can be used to find the height = 0.75
Step-by-step explanation:
A billboard is 27 feet high and casts a 36-foot shadow at noon.
Height of billboard = 27 feet
Height of shadow of billboard = 36 feet
A fir tree next to the billboard casts a 48-foot shadow.
Height of shadow of fir tree = 48 foot
Proportion can be used to find the height = 0.75
Let's try to simplify x^2 + 16. It's a sum of two squares:
x^2 + 16 = 0
x^2 = -16
The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.
Remember that square roots have a plus or minus symbol outside:
±√-16 = ±4i
Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:
(x + 4i)(x - 4i)
If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.
The two rectangles are similar and the scale factor is 3:4
0.75x + 0.5y = 25.....and she doesn't want any licorice....so x = 0
0.75(0) + 0.5y = 25
0.5y = 25
y = 25/0.5
y = 50....she can get 50 cherry candies
