After taxes, Alexandra's take home pay is 3 10 of her salary before taxes. Enter and solve an equation to find Alexandra's salary before taxes for the pay period that resulted in $162 of take-home pay. Let s represent your variable. The equation is . Alexandra's salary before taxes for the pay period was $

The equation is 3/10 × s = 162

Alexandra's salary before taxes for the pay period was $540

Step-by-step explanation:

Let

Alexander's salary before taxes

=s

3/10 if Alexander's take home pay is $162 after taxes

3/10 of s = $162

The equation is

3/10 × s = 162

Divide both sides by 3/10

s = 162 ÷ 3/10

= 162 × 10/3

= 1620 / 3

= $540

Alexandra's salary before taxes for the pay period was $540

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.

its kind of blurry. can you put a clearer pic?

step-by-step explanation: