Which value of d is a solution to equation 2.2d + 5.4= 12

Hello!

d=3

*The answer must have a positive sign.*

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you multiply by 10 from both sides of an equation.

Then, you had to refine the problem down.

Next, you subtract by 54 from both sides of an equation.

Simplify.

You can also divide by 22 from both sides of an equation.

And finally, simplify and solve. You can also divide by the numbers.

Final →

Hope this helps!

Thanks!

-Charlie

Have a great day!

:)

:D

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.