Answer:
8.5 * 10^-3
Step-by-step explanation:
Answer:
3332
Step-by-step explanation:
Answer:
If you draw this out, you can see that total fence equation will be:
2L + 4W = 1200
Simplify, divide by 2
L + 2W = 600
L = (600-2W)
:
Area;
A = L*W
Substitute (600-2W) for L:
A = (600-2W)*W
A = -2W^2 + 600W; a quadratic equation
:
The dimension that will produce the greatest area will be the "axis of symmetry
which is: x = %28-b%29%2F%282a%29
:
In this equation a=-2, b=600
W = %28-600%29%2F%282%2A-2%29
W = %28-600%29%2F%28-4%29
W = +150 ft is the width
:
Find the length
L = 600 - 2(150)
L = 300 ft is the length
:
We can say the a field 300 by 150 gives he greatest area
:
This illustrated on a graph where y axis is the area and x axis is the width:
Step-by-step explanation:
Different parallelograms require different ways of solving so theorems tell you how each parallelogram can be solved
Answer:
<u>The distance from the helicopter to the further observer is:</u>
<u>d = 12.77 miles</u>
Step-by-step explanation:
The observer with 19.5° of elevation will be denoted by 1
The observer with 31.2° of elevation will be denoted by 2.
Here we have two right triangles. Both of them have the same opposite sides, so will be useful to use the tangent function.
For the second observer:
(1)
Where:
- h is the opposite side
- x is the adjacent side (distance from the observer 2 to the point where the angle of elevation is 90° )
For the first observer:
(2)
Where:
- h is the opposite side
- 5+x is the adjacent side (distance from the observer 1 to the 90° elevation point, 5 miles is the distance between observes )
Let's find x from equations (1) and (2). Both of them have the variable "h" so we can equal these equations.
Now, if we use the right triangle with 19.5° of elevation, the hypotenuse will be the distance from the helicopter and the further observer (let's call d).
Let's use the cosine function to find d.
I hope it helps you!