Answer:
About 6.325.
Step-by-step explanation:
The geometric mean between two numbers is the smaller number multiplied by the square root of the quotient of the two numbers. In this case, the square root of 8/5 multiplied by 5 is about 6.325. Hope this helps!
Write and solve an equation of ratios:
6 inches 1 inch
-------------- = ------------
60 inches x
Cross-multiplying, 6x = 60, so x = 10 inches (answer)
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}
Learn more about area here:
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Answer:
recursive: f(0) = 7; f(n) = f(n-1) -8
explicit: f(n) = 7 -8n
Step-by-step explanation:
The sequence is an arithmetic sequence with first term 7 and common difference -8. Since you're numbering the terms starting with n=0, the generic case will be ...
recursive: f(0) = first term; f(n) = f(n-1) + common difference
explicit: f(n) = first term + n·(common difference)
To get the answer above, fill in the first term and common difference values.