Answer:
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Step-by-step explanation:
To turn
into a fraction you should do such steps:
1 step. Set up an equation by representing the repeating decimal with a variable. Using your example, you will let x represent the repeating decimal 0.(6), so you have x=0.666... .
2 step. Identify how many digits are in the repeating pattern, or n digits. Multiply both sides of the equation from Step 1 by
to create a new equation. Again, using your example, you see that the repeating pattern consists of just one digit: 6. Now multiply both sides of the equation by
. Thus, you have
or
.
3 step. Subtract the equation in Step 1 from the equation in Step 2. Notice that when we subtract these equations, our repeating pattern drops off. Therefore,
.
4 step. You now have an equation that you can solve for x and simplify as much as possible, using x as a fraction:
. If you divide both sides by 9, you get
. When simplified, you get that
.
Answer:
.
Answer:6060 foot-pounds
Step-by-step explanation:
Given
Weight of cable(w')=0.6 pound per foot
depth of well=60 foot
weight of wrench=7 Pound
Now work done in raising monkey with wrench
foot-pounds
Now work done in raising rope
robot rises by climbing up the cable with one end of the cable still attached thus robot support half the weight of cable so work done


foot-pounds
foot-pounds
To solve this problem, you must follow the proccedure that is shown below:
1. You need to apply the formula for calculate the perimeter of a circle, which is:
P=2πr
P is the perimeter of the circle (P=9.42 feet).
r is the radius of the circle.
2. Now, you must clear the radius "r" from P=2πr, as below:
P=2πr
r=P/2π
3. When you substitute the values, you obtain:
r=P/2π
r=9.42 feet/2π
r=1.49 feet
4. Now, you can calculate the diameter (D):
D=2r
D=2(1.49 feet)
D=2.98 feet
<span>
What's the diameter of the wheel?
The answer is: </span><span>2.98 feet</span>
Answer:3 units/s
Step-by-step explanation:
Given

Point P lie on this curve so any general point on curve can be written as 
and 
Distance between Point P and (2,0)

P at x=3 P=2
rate at which distance is changing is


