The model below represents a division equation where the fraction represented by the top diagram is divided by the fraction represented by the bottom diagram. Choose a word problem that can be represented by the model. Also, choose the correct quotient represented by the model. Sandra is making fruit bars, and each batch of fruit bars calls for of a cup of flour. She wants to make batches of fruit bars. How many cups of flour does she need in all? Luis is making cookies, and he has of a cup of baking soda. Each batch of cookies calls for of a cup of baking soda. How many batches of cookies does he have enough baking soda for? Frankie is making mini-cakes. A cake recipe calls for of a cup of sugar, and she wants to use of the amount of sugar called for in the cake recipe for each mini-cake. How many cups of sugar should she use for each mini-cake? The quotient is 3. The quotient is 4. The quotient is 6.

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.

can you add an image ?

step-by-step explanation:

correct answer:

b.(19,-2)

answer: x=60