Explain how to use the distributive property to find the product (3) ( 4 /1 5 )

Reduce the expression, if possible, by cancelling the common factors.

the answer is 4/5 or 0.8 :)

Step-by-step explanation:

Sample Response: Rewrite 3 ( 4  1/5) as 3 ( 4 +  1/5 ). Distribute the 3 to get 3(4) + 3 (1 /5 ) . Multiply to get 12 + 3 /5  . Then add to get 12 3 /5 .

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.

it is b)

hope this : )

step-by-step explanation: