Question

Q13 options:

A. 15 degree
B. 19 degree
C. 54 degree
D. 68 degree
E. 75 degree

Answer 1

C. 54 degrees

Explanation:

In order to find the central angle of the wedge representing the percent of girls who attend West Middle School and play a musical instrument, we can use the following formula:

`\sf \textsf{Central Angle (in degrees) }=\frac{ \textsf{Girls who play musical instrument} }{ \textsf{Total school population}}* 360^\circ`

In this case: we have

No. of boys who play musical instruments= 95 students

No. of girls who play musical instruments= 75 students

Total school population = 500 students

Now, calculate the central angle:

`\textsf{Central Angle}\sf = \frac{75 girls}{ 500\textsf{ total students}}* 360^\circ`

`\sf \textsf{Central angle}= 0.15* 360^\circ`

`\sf \textsf{Central Angle} \approx 54^\circ`

So, the central angle of the wedge representing the percent of girls who attend West Middle School and play a musical instrument is C. 54 degrees.