The illustration is omitted. Please see the attachment below.
Answer:
The area of the shaded sector is 144π square units.
Step-by-step breakdown:
Given:
The central angle for the sector is, 
The circle's radius is, 
The area of a sector with radius 'R' and angle 
can be determined with:
Substituting 
gives
Thus, the area of the shaded sector calculates to 144π square units.
Answer:
I believe it takes 4 hours
Step-by-step explanation:
8400m ÷ 35m = 240 mins
240 mins = 4 hours
To tackle this issue, we need to clarify what each variable stands for. Here, n indicates the number of pencil packages purchased by Yolanda, while m represents the number of paper pads she buys. We calculate the total cost by multiplying these variables by their individual prices, which helps us determine the expense for both pencil packages and pads of paper.
The expression "1.4n" indicates the overall cost for n pencil packages.
On the other hand, "1.2m" signifies the complete expense for m pads of paper.
As we sum these two expressions, the resulting total reflects the overall expenditure for both items.
The equation "1.4n + 1.2m" summarizes this calculation.
I hope this provides clarity!
Al establecer un sistema de ecuaciones lineales, se determina que el total de obreros que contrató el ingeniero civil es 50.
Para descubrir cuántos obreros fueron contratados, se debe formular un sistema de ecuaciones lineales con dos ecuaciones y dos incógnitas, de la siguiente manera:
(1)
(2)
Donde:
M: representa la incógnita correspondiente al capital del ingeniero
x: simboliza la incógnita que denota el total de obreros
De la ecuación (1) podemos deducir:
(3)
Utilizando la ecuación (3) en la ecuación (2) podríamos calcular el valor de x (número de obreros):
El monto inicial del ingeniero, según la ec (3), sería:
Por lo que, el número de obreros contratados por el ingeniero es 50.
Si quieres conocer otro método para resolver sistemas de ecuaciones lineales, puedes ingresar aquí:
Espero que esto te ayude!
Here are 3 questions with their respective answers.1) Find 
Answer: 4.Explanation:This expression indicates the
limit as the function f(x) approaches 2 from the right side.You should apply the function (the line) from the right side of 2 and get as close to x = 2 as you can.
That line has an open circle at
y = 4, which is the limit we are looking for.
2) Analyze the graph to see if the limit exists.Answer: 
To find each limit,
utilize the function approaching from the direction of x.It's important to note that since the two limits differ, it is concluded that the limit of the function as x approaches 2 does not exist.
3)
Answer: -1
To determine the limit as the function approaches 3 from the left,
follow the line ending with an open circle at (3, -1).Hence, the limit is -1.
