32. [Problem Solving 2] * On Martha's 9th birthday, her mother
made a cake which had the digits 0 to 9
around the edge in red icing. Using the
guidelines below, her mother cut the
cake into 3 pieces so that the numbers
on each piece added to the same total.
Mark the cuts. What fraction of the
whole cake was the largest piece?

The three pieces will have the following set of numbers

(9,6,0)  (8, 4,3), (7,5, 1,2)

Step-by-step explanation:

Given,

Martha's mother has marked the cake into 10 equal pieces starting from 0 t0 9

Now, she divided the cake in a manner that sum of digits on each of the three pieces is equal

0,1,2,3,4,5,6,7,8,9

(9,6,0)  (8, 4,3), (7,5, 1,2)

Hence the three pieces will have the following set of numbers

(9,6,0)  (8, 4,3), (7,5, 1,2)

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet