Difference between revisions of "AMC 12C 2020"
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A field is on the real <math>xy</math> plane in the shape of a circle, centered at <math>(5, 6)</math> with a a radius of <math>8</math>. The area that is in the field but above the line <math>y = x</math> is planted. What fraction of the field is planted? | A field is on the real <math>xy</math> plane in the shape of a circle, centered at <math>(5, 6)</math> with a a radius of <math>8</math>. The area that is in the field but above the line <math>y = x</math> is planted. What fraction of the field is planted? | ||
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| + | ==Problem 4== | ||
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| + | What is the numerical value of <math>1^{3} + 2^{3} + 3^{3} + … + 11^{3}</math>? | ||
Revision as of 11:21, 20 April 2020
Contents
Problem 1
What is the sum of the solutions to the equation 
?
Problem 2
How many increasing subsets of 
contain no 
consecutive prime numbers?
Problem 3
A field is on the real 
plane in the shape of a circle, centered at 
with a a radius of 
. The area that is in the field but above the line 
is planted. What fraction of the field is planted?
Problem 4
What is the numerical value of 
?
