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For The Mathematically Inclined


04/23/2020

Problem 1:
The bases of the isosceles trapezoid ABCD have lengths of 10 cm and 6 cm. Its arms form an angle α = 50˚ with a longer base. Calculate the area of the ABCD trapezoid.

Problem 2:
Calculate the content of the area bounded by a circle circumscribed and a circle inscribed by a triangle with sides a = 25mm, b = 29mm, c = 36mm
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Answers to M-04/23/20 problems

Problem 1:
There are two leaders in the tourist group, with an average age of 30 years and several children with an average age of 10 years. The total age of the group is 12 years. How many children are in the group?
Answer: 18

Problem 2:
A worker planted 96 trees on Monday, 120 on Tuesday and 61 trees on Wednesday and equal number of trees on Thursday and Friday. How many trees should  he plant on Thursday to average 105 trees per day?
Answer: 124


Winners
Nilesh Agarwal
Vijay Aivalli, Toronto , Canada

Shyam Agrawala 



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