KCC's Quizzes AQQ304 - A pure logic
1. Quote of the month: "I am not lazy, I'm just in energy-saving mode" - unknown
2. Quiz AQQ304 about finding a pure logic puzzle
Mike is looking at Anne, but Anne is looking at Paul.
Mike is married, but Paul is not.
Question:
Is a married
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August Monthly Blog Quiz! Read the blog, take the quiz, and you could win a gift card
Important: Read the blog first . The quiz questions are all based on the content of the blog:
Stay in the loop and win! Read the blog Current Output Driving Industrial Loops , then take our quick five-question quiz for a chance to win a gift card
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1. Quote of the month: "When I die, I want to die like my grandfather who died peacefully in his sleep. Not screaming like all the passengers in his car" - Will Rogers
2. Quiz AQQ304 about finding the radius of a circle
Good luck, and try to be among the first ones!
Flip the quarter circle into a semi-circle. This creates two isosceles triangles with base1=42 and base2 equal to 16. Their vertices are at the point O. All the 4 sides equal the radius R. The difference of the heights is BC or 15. The equation for this difference is:
15 = sqrt(R2 – 64) – sqrt(R2 – 441)
Solving the above gives R ~ 21.60257
When I first looked at this quiz I wondered if there was a way to represent it in such a way as to use defined formulas rather than doing an analysis using the right triangle relationships. By mirroring the image, you can create two isosceles triangles as shown below.
h = height
a = sides = R
b = base = 42 for ΔOD’C’CDO and 16 for ΔOB’BO
We don’t need each height only their difference which equals 15. This gave an f(R) which I submitted to an online equation solver to calculate R.
When I first looked at this quiz I wondered if there was a way to represent it in such a way as to use defined formulas rather than doing an analysis using the right triangle relationships. By mirroring the image, you can create two isosceles triangles as shown below.
h = height
a = sides = R
b = base = 42 for ΔOD’C’CDO and 16 for ΔOB’BO
We don’t need each height only their difference which equals 15. This gave an f(R) which I submitted to an online equation solver to calculate R.
