How many inches would a point on the outer edge of the large gear travel in a 150º rotation? (the gear has a radius of 4 inches) explain how you would solve this.

10.5 inch

Step-by-step explanation:

As we know that the angle rotated in one complete rotation is 360 degree.

The distance traveled in one complete rotation is circumference of the circle.

So, in 360 degree, the distance covered = 2 x 3.14 x Radius

                                                                    = 2 x 3.14 x 4 = 25.12 inch

In 1 degree, the distance covered = 25.12 / 360 inch

In 150 degree, the distance covered = 25.12 x 150 / 360 = 10.5 inch

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

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.