Difference between revisions of "AMC 12C 2020"
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How many increasing subsets of <math>{{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}}</math> contain no <math>2</math> consecutive prime numbers? | How many increasing subsets of <math>{{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}}</math> contain no <math>2</math> consecutive prime numbers? | ||
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| + | ==Problem 3== | ||
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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? | ||
Revision as of 11:18, 20 April 2020
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?
