Answer:
Step-by-step explanation:
<u>Convert a Repeating Decimal to a Fraction </u>
We need to convert the following decimal to a fraction:
Let's call x to the given number:
The number has two repeating (periodic) decimals, thus we multiply by 100:
Note the decimals continue to repeat exactly like the original number.
Subtracting both expressións, the repeating decimals are simplified:
Operating:
99x=-37
Dividing by 99:
The fraction cannot be simplified, thus:
Answer:
Step-by-step explanation:
When two variables say x and y are proportional let us assume y dependent variable and x independent variable
then we have y =kx
Here k is called the constant of proportionality.
Whenever x increases/decreases by 1 unit, the y value also increases/decreases by k units.
Whenever x=1, y =k
and always
Thus we can fill up as
the constant of proportionality is always the point___(1.k)____, where k is the constant of proportionality. Additionally, you can find the constant of proportionality by finding the ratio of___y to x____, for any point on the___graph of the function.___.
Answer:
Step-by-step explanation:
Let's label this triangle as triangle ABC. Side AB is 18, side BC is 20 and side CA is 25 and the angle we are looking for is angle C. Use the Law of Cosines to find the missing angle. You have to use the Law of Cosines because in order to use the Law of Sines you have to have an angle given and we don't so we have no other options. In our case,
which for us looks like this:
and
and
and
and
Use the 2nd button and the cos button to find the missing angle.
Angle C = 45.4 which is, rounded to the nearest degree, 45°
