Answer: V = L (k)
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
- <em>Volume of a box = V
</em>
- <em>Length = l
</em>
- <em>Constant of proportionality
= k</em>
We know that the volume of the box (V) varies directly with its length (l).
So, the expression for the volume is:
V = L (k)
Feel free to ask for more if needed or if you did not understand something
Answer:
a. cosθ = ¹/₂[e^jθ + e^(-jθ)] b. sinθ = ¹/₂[e^jθ - e^(-jθ)]
Step-by-step explanation:
a.We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Adding both equations, we have
e^jθ = cosθ + jsinθ
+
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ + cosθ + jsinθ - jsinθ
Simplifying, we have
e^jθ + e^(-jθ) = 2cosθ
dividing through by 2 we have
cosθ = ¹/₂[e^jθ + e^(-jθ)]
b. We know that
e^jθ = cosθ + jsinθ and
e^(-jθ) = cosθ - jsinθ
Subtracting both equations, we have
e^jθ = cosθ + jsinθ
-
e^(-jθ) = cosθ - jsinθ
e^jθ + e^(-jθ) = cosθ - cosθ + jsinθ - (-jsinθ)
Simplifying, we have
e^jθ - e^(-jθ) = 2jsinθ
dividing through by 2 we have
sinθ = ¹/₂[e^jθ - e^(-jθ)]
It B
x= -12
hope that helps
Answer:
stick of butter
Step-by-step explanation:
÷ 
=
Answer:
<h2>50</h2>
Step-by-step explanation:
Put h = 7 to the expression 5 · (h + 3):
