Answer:
Step-by-step explanation:
Given that
is the repeating decimal.
The repeating decimal
is converted into the fraction as
:
<=> 0.121212 =
Multiplying both sides by x, we have,
<=> 0.121212x = 3
Dividing both sides by 0.121212, we get:
<=> x =
<=> x = 25
So the fraction represents the decimal
is:
Hope it well find you well.
Answer:

Step-by-step explanation:
We draw the right triangle as shown in the image attached.
Δ QRS
Where R is the right angle
Given
QR = 8
QS = 17
Now, using Pythagorean Theorem, we can find RS:

Now, we know the ratio Sine as:

Where
is the angle (here angle Q)
Opposite side is RS (which is 15)
Hypotenuse is given as QS (which is 17)
So,

This is the value of SinQ.
We don't want the angle, so we'll stop here.
Answer:
x = 10
Step-by-step explanation:
l n 20 + l n 5 = 2 l n x
ln (20×5) = ln x²
ln(100) = lnx²
100 = x²
x = +/- 10
Since logs of negative numebrs don't exist, we reject -10
Convert 2 km into cm
1 km = 100,000 cm
2 km = 200,000 cm
therefore 9,000 cm is greater
G(h) h
12 3
8 5
4 7
0 9
Equation of the line:
slope = [12-0]/[3-9] = 12 / -6 = -2
g / [h - 9] = -2
g = -2(h-9)
g = -2h + 18
g = 18 -2h
Filling the tank ==> h = 0
g = 18 - 2(0) = 18
Answer: first option g = 18 -2 h; 18