Answer:
The angle of depression between the plane and radio tower is
Step-by-step explanation:
From the diagram attached below,
AB = Height at which the plane is flying.
AC = Distance between the plane and a radio tower.
We have to calculate the angel of depression or θ.
The triangle ABC is a right angle triangle. So,
Y=-.3x^2+3x
....
-2x+5.5y=19.5
5.5y=19.5+2x
y=(19.5+2x)/5.5
When the light touches the parabola y=y so
(19.5+2x)/5.5=-.3x^2+3x multiply both sides by 5.5
19.5+2x=-1.65x^2+16.5x add 1.65x^2 to both sides
1.65x^2+2x+19.5=16.5x subtract 16.5x from both sides
1.65x^2-14.5x+19.5=0
Using the quadratic equation for simplicity...
x=(14.5±√81.55)/3.3 we only need the lower point, or the smaller value of x
x≈1.657423 since:
y=(19.5+2x)/5.5
y≈4.15 units
3/8 because 1/4 is equal to 2/8.
Answer:
see explanation
Step-by-step explanation:
(a)
For the graph to display direct proportion it must pass through the origin.
The graph shown does not pass through the origin thus does not represent direct proportion.
(b)
Given that q is directly proportional to r then the equation relating them is
q = kr ← k is the constant of proportion
To find k use the condition q = 76 when r = 20, thus
76 = 20k ( divide both sides by 20 )
3.8 = k
q = 3.8r ← equation of proportion
When r = 45, then
q = 3.8 × 45 = 171
- Pressure
- Gravity
hope this helps :D