Answer:
108
Step-by-step explanation:
divide 9 by 2, you get 4.5. multiply that by 24 and you get your answer.
The red arrows show that the lines are parallel, but using the stuff given you can make an equation.
its hard to explain without drawing but starting from the 60 if you can make a Z you will get alternate angles and that mean that the given equation MUST be equal to 60. So,
8x-4=60
8x=60+4
8x=64
x=64/8
x=8 (is your answer)
hope you understand
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 :

The area of the model is 80 square foot
Step-by-step explanation:
Let the area of the house model be 'a'
The scale = 1:50
The area of the house= 4000 square foot
Area of the model =4000/50
a = 80 square foot
The area of the model is 80 square foot