Jacob wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn,so he needs no fence on that side.
Let w be the width of the enclosure (perpendicular to the barn) and let l be the length of the enclosure (parallel to the barn).
one side of the length is not counted for perimeter because one side of length will be against the barn.
Perimeter = 400 ft
Perimeter of rectangle = L + W + W
400 = L + 2W
L = 400 - 2W
Area = L * W
Replace L by 400 - 2W
A(W) = (400 - 2W) * W
Now we find out x coordinate of vertex to find the width that maximize the area
a= -2 and b = 400
The width w would maximize the area is w = 100ft
To find maximum area we plug in 100 for W in A(W)
the maximum area is 20,000 square feet
Answer:
5 1/3 miles
Step-by-step explanation:
We can use a ratio to solve
8 miles x miles
------------ = --------
3 hours 2 hours
Using cross products
8*2 = 3x
16 = 3x
Divide by 3
16/3 = 3x/3
5 1/3 miles =x
The height of the statue is 19.5 feet.
Why?
We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.
We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)
Using the trignometric formula, we have:
First triangle:
Second triangle:
Now, the total height of the statue will be:
Have a nice day!
The length/width ratio is 3/1
.
<em>l</em> = 6.6 × 10⁻⁶ m; <em>w</em> = 2.2 × 10⁻⁶ m
<em>l</em>/<em>w</em> = 6.6 × 10⁻⁶ m/2.2 × 10⁻⁶ m = 3/1
