A jar contains three red marbles to orange marbles three green marbles and four blue marbles one marble is chosen at random. List the favorable outcomes

red marbles=3/10,green marbles=3/10,blue marbles=4/10

Step-by-step explanation:

The first thing I did is find the outcome which is the total number of marbles and finding the outcome to each marble knowing how much marbles are in one specific color like there are 3 marbles which are red and 10 marbles total so the outcome would be 3/10 chance in picking a red marble,the same goes to the rest of the colored marbles...sorry if I wrote too much

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

b

step-by-step explanation: