Answer:
249.42 units²
Step-by-step explanation:
Given only the apothem of an n-sided regular polygon, the area can be computed as ...
... A = n·a²·tan(180°/n)
For n=3 and a=4√3, this is ...
... A = 3·(4√3)²·tan(60°)
... A = 3·48·√3 = 144√3 . . . . units²
... A ≈ 249.42 units²
Well, there are different ways to do this if you are really familiar with fractions, but "officially" :P
1) convert mixed numbers to improper fractions.
rule: a b/c = (ac+b)/c
2) make all fractions have a common denominator...
a/b+c/d
(a/b)(d/d)+(c/d)(b/b)
(ad/bd)+(cb/bd)
3)
The simplify your final answer with greatest common denominator or convert back to mixed number if needed...
How do you become an administrator?
I think answering a lot of questions and dont get warnings
Let's assume
length of rectangle =L
width of rectangle =W
You enclose 3 sides of the garden with 40 feet of fencing
so, we get

now, we can solve for L

we know that
area of rectangle is


now, we can plug

now, we can solve for W

we can use quadratic formula


we can take anyone value ..because both are giving positive value
first dimensions:

now, we can find L


so, length is 34.142feet
width is 2.929 feet
Second dimensions:

now, we can find L


so, length is 5.858feet
width is 17.071 feet
Answer:
The speed of the wind is 12 miles per hour.
Step-by-step explanation:
Given that the plane travels 264 miles in 1.1 hours with a headwind, the following calculation must be performed to determine its speed:
264 / 1.1 = X
240 = X
Thus, the speed of the plane into the headwind was 240 miles per hour. Now, on the return, with the wind in favor, the route is completed in exactly 1 hour.
Therefore the wind exerts a difference of 24 miles per hour between one trip and another, with which, if it remains stable, its speed is 12 miles per hour (24 / 2).