Answer:

Step-by-step explanation:
Using the distance formula, we see that the distance between (-4,4) and (-7,3) is
.
Answer:
3
Explanation:
4 is half of 8 on the right side, so that means X has to be half of 6, so it’s 3. Also, it couldn’t be 2 because it is too big, and it can’t be 4 because it isn’t the same length as the other 4, so it’s 3
Answer:
48 inches
Step-by-step explanation:
1 inch is 6 feet.
8 inches would be 48 feet.
Answer:
We have been given a unit circle which is cut at k different points to produce k different arcs. Now we can see firstly that the sum of lengths of all k arks is equal to the circumference:

Now consider the largest arc to have length \small l . And we represent all the other arcs to be some constant times this length.
we get :

where C(i) is a constant coefficient obviously between 0 and 1.

All that I want to say by using this step is that after we choose the largest length (or any length for that matter) the other fractions appear according to the above summation constraint. [This step may even be avoided depending on how much precaution you wanna take when deriving a relation.]
So since there is no bias, and \small l may come out to be any value from [0 , 2π] with equal probability, the expected value is then defined as just the average value of all the samples.
We already know the sum so it is easy to compute the average :

Answer:
X/360 (r^2)
Step-by-step explanation:
If X is the number of degrees of the sector, then the area will be given by
X/360 *r^2
Where r^2 is the radius of the circle. The denominator of X is 360 because the degrees of a circle add up to 360
For instance, if the sector is half the circle, then we have
180/360 *r^2 (or 0.5(360)*r^2)