The ratio of the length of de and the length of bc @mylittlestar

The ratio of the length of DE and the length of BC = 1/4

Step-by-step explanation:

From the figure we can see two sectors

To find the length of BC

The sector ABC with radius r and central angle 2β

BC = (2πr)( 2β/360)

 = 4πrβ/360

To find the length of DE

The sector ADE with radius r/2 and central angle β

DE = (2πr/2)( β/360)

 =  πrβ/360

To find the ratio of DE to BC

DE/BC =πrβ/360 ÷  4πrβ/360

 = πrβ/360 * 360/ 4πrβ

 =1/4

73.0769230769% of the games were won

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.