Problem of the Week

Aug 22, 2021 | Folsom

 

 

 

 

 

 

 

Did you figure it out?

Solution:  Since a radian has an arc length equal to the radius, each radian that the saw rotates causes 3 feet of the edge of the blade to strike the tree. So, to find the number of radians that would cause 9,000 feet of the edge of the blade to strike the tree, we divide 9,000 ÷ 3 = 3,000. The rate at which the blade rotates is 3,000 radians per minute.

 

 

 

 

 

 

 

 

 

 

 

 

Did you figure it out?

Solution:  First, we need to know what fractional part of the sandwich is uneaten. Since Benjamin ate 3/10 and Jerry ate 2/5 = 4/10, they ate 7/10 of the baguette in total. That means that the remaining 3/10 of the baguette weighs 41/2 ounces. Each tenth of the baguette therefore weighs 41/2 ÷ 3 = 11/2 ounces. So, since Jerry ate 4/10 of the baguette, his piece was 11/2 × 4 = 6 ounces.