Answer:
Step-by-step explanation:
Given
diameter of pie is 
radius 
If child divides pie into 12 equal parts then each part subtends an angle of
at the center
and crust length of single piece is



For two slice length is 
Thus the total length of crust eaten is 
Answer:
Scale factor = 3
Step-by-step explanation:
Using similar triangles
AT/AG = AB/AC
9/3 = x+10/3x-10
Cross multiply
3(x+10) = 9(3x-10)
Expand
3x+30 = 27x-90
3x-27x = -90 - 30
-24x = -120
x = 120/24
x = 5
For the larger triangle;
AC = 3x-10
AC = 3(5)-10
AC =15-10
AC = 5
AB = x+10
AB = 5+10
AB = 15
For the scale factor;
Since AT/AG = AB/AC
9/15 = 3/5
3*3/5*3 =3/5
Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3
2850*24/(4*24+18)
The light bulb consumes 600 watt-hours per day.