Seven moré than 3 times a number is 49

14

Step-by-step explanation:

Seven more than 3 times a number is equal to 49 can be put into an equation form, which would be 7 + 3x = 49. With this equation we can work it out, first we will subtract 7 from both sides of the equation to cancel out the 7. 49 - 7 = 42. Now we have 3x = 42. To isolate x and give us the answer we will divide by 3 on both sides, since 3 is being multiplied by x. This will give us our answer, which is 14.

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.

answer: the common difference is -0.10