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

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

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

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

$\frac{153}{1,042}(100)=14.68\%$

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%

$\frac{360^o}{100\%}=\frac{x}{14.68\%}\\\\x=360^o(14.68\%)/100\%\\\\x= 52.9^o$