Aperson walks 8blocks east, then 4 blocks north, 12 blocks west and 4 blocks south, at this point how many blocks from her start point?

4 Blocks.

Step-by-step explanation:

You start out going 8 east so that's 4.

Then you got 4 north as well so that's 12 because 8 + 4 = 12

then they walk 12 blocks west. Now they are in the position of 4 North and 4 West.

Next they go 4 blocks south. Since they went for blocks North first and now they go 4 blocks south and they are already on the fourth block to the west.

When they are at 4 North and 4 South the just travel to the original position but 4 blocks to the west.

Sorry if you don't understand the explanation. It's kinda difficult to explain.

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.