Answer:
The angle of depression from Platform A to Platform B is 
Step-by-step explanation:
Refer the attached figure
The horizontal distance between the platforms is 500 feet i.e. BC = 500
The length of the zip-line is 685 feet i.e. AB = 685
We are supposed to find the angle of depression from Platform A to Platform B
Hypotenuse = 685
Base = 500

Hence the angle of depression from Platform A to Platform B is 
Answer:
$0.60
Step-by-step explanation:
The costs are:
$0.15 + $0.25 = $0.40
He sells it for $1.25.
The value added is:
$1.25 - $0.40 = $0.85
<span>78.6 is a decimal number, you must name it with the whole part first and then the decimal part as part of tenths, hundredths or what it corresponds. In this case the whole part is 78 and the decimal part is 6/10 which is 6 tenths. Then, the number in words is sevety eight and six tenths.</span>
Answer:
The equation is
15x = 610
Step-by-step explanation:
A dime is 10 cents while a nickel is 5 cents
$6.10 is same as 610 cents
Let the number of dimes and number of nickels be x
10x + 5x = 610
15x = 610
One function you would be trying to minimize is
<span>f(x, y, z) = d² = (x - 4)² + y² + (z + 5)² </span>
<span>Your values for x, y, z, and λ would be correct, but </span>
<span>d² = (20/3 - 4)² + (8/3)² + (-7/3 + 5)² </span>
<span>d² = (8/3)² + (8/3)² + (8/3)² </span>
<span>d² = 64/3 </span>
<span>d = 8/sqrt(3) = 8sqrt(3)/3</span>