The question is an illustration of compound inequality.
The distance the dog can reach is: 
The parameters are given as:
--- the fence
--- the leash
The greatest distance, the dog can reach is:
The least distance, the dog can reach is:
Hence, the distance as a compound inequality is:
Read more about compound inequalities at:
brainly.com/question/13290962
Answer:
4n²+2n as a factorial is given as:
Step-by-step explanation:
We are given an expression which has to be converted into factorial form.
The expression is as follows:
Now we know that 2n+1 and 2n differs by '1' and the next smaller term is '2n-1'.
Hence, multiplying and dividing by '(2n-1)!'; we get:
we know that x(x-1)(x-2)! = x!, so:
Answer:it’s 1
Step-by-step explanation:
Just had it in a quiz
Perimeter = 27 + 9*sqrt(3), Approximately 42.58845727
Area = 40.5*sqrt(3). Approximately 70.14805771
Since all triangles have a total of 180 degrees and we've been given 2 of those angles, the remaining angle is 180 - 90 - 60 = 30 degrees. So we have a 30,60,90 degree right triangle. Drawing the triangle and assigning the proper angle to each vertex shows that AK is the short leg of the triangle. And since it's a 30,60,90 triangle, the hypotenuse is AL and it will be twice the length of AK, so it's 18. And finally, we can use the Pythagorean theorem to calculate the length of KL. So
KL = sqrt(18^2 - 9^2) = sqrt(324 - 81) = sqrt(243) = sqrt(81*3) = 9*sqrt(3)
So the perimeter is
P = 9 + 18 + 9*sqrt(3) = 27 + 9*sqrt(3). Which is approximately 42.58845727
The area is base times height divided by 2. And we have a base of 9 and a height of 9*sqrt(3). So
A = 9 * 9*sqrt(3)/2 = 81*sqrt(3)/2 = 40.5*sqrt(3). Which is approximately 70.14805771
