What is the percent of increase from
19 to 27, to the nearest percent?

42.105

Step-by-step explanation:

A change from 19 to 27 represents a positive change (increase) of 42.1052631579%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = New - Old

|Old|

× 100%

Percent change = 27 - 19

|19|

× 100% =

8

19

× 100 = 42.1052631579% (increase)

Where: 19 is the old value and 27 is the new value. In this case we have a positive change (increase) of 42.1052631579 percent because the new value is greater than the old value.

42% increase

Step-by-step explanation:

There are two steps to finding the percent increase.

First, we must find the difference of the final and initial number, which gives us the increase.

Therefore, we have 27 - 19 = 8.

Second, we must find quotient of the increase and initial number and multiply by 100.

(8 / 19) * 100 = 42%.

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.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: