Answer:
The answer is 16.
Step-by-step explanation:
The light's coverage area is given mathematically as i.e. Area=
Given that a lighthouse casts a revolving beam of light as far as they peir and asked the area is covered.
The revolving beam of light covers the whole space i.e entirely 360°
I.e. it forms a circle-like region
Area of circle = { where r is the radius of circle}
Let's assume the distance traveled by light as "d"
as it forms a circular region, it forms a circle of radius "d"
Mathematical connection i.e. area of the region
⇒area of circular region= {where d is the radius of region}
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Somewhere in the text, it must say that x = 2 and y = -1 or else, the values just seem made up out of thin air.
The slope of the tangent line to at is given by the derivative of at that point:
Factorize the numerator:
We have approaching -1; in particular, this means , so that
Then
and the tangent line's equation is
Answer:
48 assistants
Step-by-step explanation:
If 1 executive has an average of 1.5 assistants, let x represent the number of assistants that are employed if there are 32 executives in the office.
Thus:
1.5 assistants to 1 executive = x assistants to 32 executives
1.5 : 1 = x : 32
Cross multiply
Therefore, 48 assistants were employed in the office.