Answer:
They are 261.96 meters apart.
Step-by-step explanation:
From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.
Thus, the total angle between them is 23 + 33 = 56°.
Therefore, let the distance between them be c and we can calculate that using the cosine law. Thus,
c² = a² + b² – 2ab cos θ
Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.
Thus,
c² = 300² + 250²– 2(300) (250)cos 56
c² = 90000 + 62500 - 83878.9355
c² = 68621.0645
c = √68621.0645
c = 261.96 m
They are 261.96 meters apart.
Answer:
11-4(78)
dominance of solving this question
first solve () =brackets
second solve / (division)
third solve x (multiplication)
forth solve + (addition)
Fifth solve - (subtraction)
11-4(78)
11-312
301
Step-by-step explanation:
Answer:
21 microwaves
Step-by-step explanation:
The net profile is equal to the income less the total cost, so the equation to the net profile NP is:
NP = 700x - (6000 + 300x)
Where 700x is the income and (6000+300x) is the cost of manufacturing.
Now, replacing NP by 2400 and solving for x, we get:
2400 = 700x - (6000 + 300x)
2400 = 700x - 6000 - 300x
2400 + 6000 = 400x
8400 = 400x
So, the least number of microwaves that must be manufactured and sold so that the net profit is $2400 is equal to 21.
The table that has a constant average rate of change represents a linear function.
<h3>What is the average rate of change of a function?</h3>
The average rate of change of a function is given by the <u>change in the output of the function divided by the change in the input</u>.
When this rate is constant, the function is said to be linear, hence the table that has a constant average rate of change represents a linear function.
More can be learned about linear functions at brainly.com/question/24808124
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