Prompt: Marc solves the equation (^4√x)^3 = 5. His work is shown below.
Step 1: (^4√x)^3 = 5
Step 2: x^3/4 = 5
Step 3: x^3/4x4/3=5 4/3
Step 4: x = ^3√5x5x5x5
Step 5: x = 5^3√5x5x5x5(cancelled out)
Step 6: x=5^3√5
1. Explain what Marc did in steps 4 and 5.
2. Why did he do this?
3. Create your own radical equation and explain how to solve it.
4. Is there an extraneous solution to your equation?
Number your responses from 1 to 4 so your instructor can tell which question you're responding to

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.

correct answers below:

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.  

answer: you need the equation in the question so i can answer it

step-by-step explanation: