Answer:
52.9°
Step-by-step explanation:
step 1
we know that
The total number of successful United States space launches that happened in the years 1957-1995 is equal to
[tex]15+470+258+153+146=1,042[/tex]
step 2
The numbers of successful United States space launches that happened in the years 1980-1989 is equal to
[tex]153[/tex]
step 3
The percentage of successful United States space launches that happened in the years 1980-1989 is equal to
[tex]\frac{153}{1,042}(100)=14.68\%[/tex]
step 4
Find out the measure of the central angle you would draw in a circle graph to represent the number of successful United States space launches that happened in the years 1980-1989
we know that
In a circle, 360 degrees represent the 100%
so
using proportion
Find out the measure of the central angle by a percentage of 14.68%
[tex]\frac{360^o}{100\%}=\frac{x}{14.68\%}\\\\x=360^o(14.68\%)/100\%\\\\x= 52.9^o[/tex]
