Answer:
make the picture more clear its hard to see.
Step-by-step explanation:
Answer:
i) 20m/s
ii) 4s
iii) 144m
iv) 2 m/s
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
P (She selects the route of four specific capitals) = 
D. No,it is not practical to list all of the different possible routes because the number of possible permutations is very large.
Step-by-step explanation:
Let's start assuming that each route is equally likely to be chosen.
Assuming this, we can calculate P(A) where the event A is ''She selects the route of four specific capitals'' doing the following :
P(A) = Favourable cases in which the route of four specific capitals is selected / Total number of ways in 4 of 42 states
The favourable cases in which the route of four specific capitals is selected is equal to 1 .
For the denominator we need the permutation number of 4 in 42.
The permutation number is defined as :


The probability of event A is : 
Finally for the other question : The option D is the correct because the number of possible permutations is 2686320 and is very large to be listed.
If we plot that point we find ourselves in QIV. The distance along the x axis is 4, and the distance down from that point is -3. If we create a right triangle with that segment, that segment serves as the hypotenuse of the triangle. We need its measure. Using Pythagorean's theorem,

and

. We see that c = 5. We need now to find the secant of that right triangle. Secant if the co-identity of cosine which is side adjacent over hypotenuse. That means that secant is the hypotenuse over the side adjacent. So our secant theta = 5/4
Well we know the area of a square is l*w, or s^2. So we can use s^2 where s=6 in your case. Now 6^2 is 6*6, which is 36.
So the area of a square rug that measures 6 feet is 36 feet
Answer= 36 feet