Write 105,000 in scientific notation.
(A) 10.5 x 104
(B) 105 x 105
(©) 1.05 x 105
(D) 1.05 x 10-5

(©) 1.05 x 10^5

Step-by-step explanation:

105,000.

Scientific notation is of the for a * 10^b

where a is a number between 1 and less than 10

move the decimal to make a be correct

1.05000  

we moved it 5 places to the left, so b is 5

It is positive since we moved it to the left

1.05*10^5

We drop the zeros to the right of the 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.