Answer:
18 is the number that would go in the green box 33/3 =11 and 54/3 = 18
Answer:
13.47 m
Step-by-step explanation:
let the angle formed by the shadow on ground be x
tan x = 1.65/(34.55-30 4)
tan x = .39
.39 = tree ht/34.55
tree ht = 13.47m
By De Moivre's formula, the <em>cubic</em> roots of the <em>complex</em> number are 3 + i 4, - 4.96 + i 0.60 and 1.96 - i 4.60.
<h3>How to find the cube root of a complex number</h3>
Herein we have a <em>complex</em> number in <em>rectangular</em> form, from which we need its magnitude (r) and direction (θ) and the De Moivre's formula as well. The <em>root</em> formula is introduced below:
, for k ∈ {0, 1, ..., n - 1} (1)
Where n is the grade of the complex root.
The magnitude and direction of the <em>complex</em> number are 125 and 0.886π radians, respectively. Thus, by the De Moivre's formula we obtain the following three solutions:
k = 0
z₁ = 2.997 + i 4.002
k = 1
z₂ = - 4.964 + i 0.595
k = 2
z₃ = 1.967 - i 4.597
By De Moivre's formula, the <em>cubic</em> roots of the <em>complex</em> number are 3 + i 4, - 4.96 + i 0.60 and 1.96 - i 4.60.
To learn more on complex numbers: brainly.com/question/10251853
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Answer:
Exponential growth
Step-by-step explanation:
The base of the exponential term is 1.12, a number greater than 1. That means each increment of x causes the value to be multiplied by 1.12, resulting in a value larger than before. This is growth.
The equation represents exponential growth.
Answer:
Step-by-step explanation:
Assuming the decay factor, m = 0.0005
f(x) =
f(9000) = = 1 - 0.0111 = 0.99