Question

Use the information in the table. You are making a circle graph showing the total number of successful United States space launches. What is 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?

153°
14.7°
86°
52.9°

Years -
1957–1959
1960–1969
1970–1979
1980–1989
1990–1995

Number of Successful United States Space Launches -
15
470
258
153
146

Answer 1

52.9°

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

`15+470+258+153+146=1,042`

step 2

The numbers of successful United States space launches that happened in the years 1980-1989 is equal to

`153`

step 3

The percentage of successful United States space launches that happened in the years 1980-1989 is equal to

`(153)/(1,042)(100)=14.68\%`

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%

`(360^o)/(100\%)=(x)/(14.68\%)\\\\x=360^o(14.68\%)/100\%\\\\x= 52.9^o`