First, sum up the total expenses for the original plan
Duque de Caxias + Campinas + Rio de Janeiro + Guarulhos = 242+185+193+120 = R$740
It is clearly over the intended budget. The average cost per itinerary is around R$200 so we will consider making a swap on either Duque de Caxias and Rio de Janeiro. Possible answers are (b) or (c)
for (b) Replace Duque de Caxias with Fortaleza, we will have
Fortaleza + Campinas + Rio de Janeiro + Guarulhos =
⇒ 201+185+193+120 = R$699 ⇒ This is exactly the budget intended for the trip
for (C) Replace Rio de Janeiro with Porto Alegre
Duque de Caxias + Campinas + Porto Alegre + Guarulhos =
⇒ 242 + 185 + 153 +120 = R$ 700 ⇒ This is over R$1
The answer is (b)
Use o fato de que o determinante de qualquer matriz quadrada é o mesmo da sua transposta.


Picture it in your head
at -12 feet elevation (12 feet below ground level), the basement starts
62 feet from that level is the roof
so count 62 units up from -12 and get 50 feet above ground level (60-12=50)
answer is 50 feet above ground level
The length of the major arc LNM is 
<h3><u>Length of an arc</u></h3>
From the question,
We are to determine the value of the length of the major arc LNM
The length of the major arc LNM can be calculated using the formula

Where r is the radius
First, we will determine the value of the reflex ∠LKM
Reflex ∠LKM + ∠LKM = 360° (<em>Sum of angles at a point</em>)
From the given information,
∠LKM = 70°
Then,
Reflex ∠LKM + 70° = 360°
Reflex ∠LKM = 360° - 70°
Reflex ∠LKM = 290°
Also, from the question
r = 3 cm
Now, putting the parameters into the formula, we get

Then,


Hence, the length of the major arc LNM is 
Learn more on calculating length of an arc here: brainly.com/question/2005046