Respuesta :

Answer: The portion of skiing is 36 degrees (36°)

Step-by-step explanation: In order to calculate the value of any of the given variables in degrees, we must calculate it as a fraction of the total and then convert it to a degree measure in relation to a total of 360 degrees. (Please note that a pie chart has a total of 360 degrees measurement for all the variables given)

The variables are;

Soccer - 5

Jogging - 20

Walking - 10

Skiing - 5

Football - 10

Total - 50

Therefore, the fraction that represents skiing is given as

Skiing = 5/50

Skiing = 1/10

Calculating this portion in degrees becomes,

Skiing = 1/10 x 360

Skiing = 36 degrees (36°)

Answer:

x = 36° represents the proportion of hours spent on skiing.

Step-by-step explanation:

Solution:-

- The time taken for various activities is to be represented using a pie chart.

- The individual times for various activities are given:

          Soccer : 5 hours

          Jogging : 20 hours

          Walking : 10 hours

          Skiing : 5 hours

          Football : 10 hours

=========================

      Total time : 50 hours

=========================

- An entire pie chart is represented by a circle. Where the angle representation of a complete circle is 360° - mapping the total number of hours taken for all activities.

- So,               360° ............. Total Time = 50 hours

- So we will use direct proportions to evaluate the angle representation for the number of hours spent on skiing for a pie chart:

                      x ................. Skiing time = 5 hours

            ======================================

                     50*x = 5*360

                     x = 36°