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:
B) 68.91 inches
Step-by-step explanation:
To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.
We are also given that the diameter is 28 inches.
Since arc length and area are proportional to the central angle, we can create the following equality:
angle of VYX/360 = arc length of VYX/circumference
We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.
282/360 * 28*pi = arc length of VYX
Thus, the length of VYX = 68.90559887 inches
Thus, the correct answer is B, 68.91 in.
Lindsay's debt is greater. Which is more? $20 or $15? I don't know how to express debt... Sorry.
Step-by-step explanation:
In the attached images we can see the rigid transformation of the function 
1. The basic graph
2. The reflected graph 
3. The displaced graph 
Reflection: In the expression , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x)
, then the reflection on the x axis is equal to the reflection on the y axis.
Displacement: We observe the term (x-4) of the function and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted
.
Answer:
17.7
Step-by-step explanation:
angle B = 180 - 81 - 65 = 34 degrees
as the sum of all angles in any triangle is always 180 degrees.
a/sin(A) = b/sin(B) = c/sin(C)
the sides are always on the opposite side of the angle.
so,
10/sin(34) = AB/sin(81)
AB = 10×sin(81) / sin(34) = 17.7
