The tetrahedron superyacht designed by jonathan schwinge is a regular tetrahedron with edges
20
 
m
20m20, start text, m, end text long. the distance
r
rr from one corner to the center of the base (shown in the picture below) is
11.5
 
m
.
 
11.5m.11, point, 5, start text, m, end text, point

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.