Hello,
Let 's a the width,
b the heigth
2a+b=80==>b=80-2a
Area=A(a,b)=a*b=a*(80-2a)
=-2a²+80a
=-2(a²-2*20a+20²-20²)
=-2(a-20)² +800
Area is maxi if a=20 and area max=800
1,650 is the answer to your question
Answer:
24.6967 meters
Step-by-step explanation:
The roots of the tree go 6 and 5 over 12 meters below the ground level.
Now, 6 and 5 over 12 meters is equivalent to 6.4167 meters.
Again the top of the tree is 18.28 meters high from the ground level.
Therefore, the total height of the tree from the bottom of the root to the top is
(6.4167 +18.28) = 24.6967 meters (Answer)
Answer:
15 feet.
Step-by-step explanation:
A bulletin board has been shown in the figure below.
Where the width of the board AB = DC =
= 4.5 feet
and the length of the board AD = BC = 6 feet
As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.
In right angle triangle <em>ADC</em>, using Pythagorean Theorem,
= 
feet
Similarly in triangle <em>BDC</em>,

feet
Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet
Answer: Option b.
Step-by-step explanation:
1. You have the function
given in the problem above.
2. You must keep on mind that. by definition, the division by zero does not exist.
3. The value x=3 makes the denominator of the function f(x) equal to zero. Therefore you can conclude that the function shown in the problem is not defined at x=3.
The answer is the option b.