Ariana wants to make $207 she makes $10 a week how many weeks and months does she need to work to make $207

4 months and 4 weeks  

Step-by-step explanation:

(a) Calculate the weeks

In one week, Ariana earns $10.

To earn $207, the weeks she must work are:

Weeks = $207 × (1 wk/$10)

            = 20.7 wk  

Ariana must work 20.7 weeks.

(b) Convert to months and weeks

There are 52 weeks and 12 months in a year

So, 52 weeks = 12 mo nths

20.7 wk = 20.7 wk × (12 mo/52 wk)

             = 4.777 mo

Now, convert 0.777 mo back to weeks.

0.770 mo × (52 wk/12 mo) =  3.37 wk

Presumably, Anna won't get paid until the end of the week, so

She must work 4 months and 4 weeks  

(Note: On average there are 4⅓ weeks in a month, so she is working just a little less than 5 months.)

45 minutes

step-by-step explanation:

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.