Answer: 4
Step-by-step explanation:
Let assume the number to be = x
The second statements stated that
6 ˣ x + 3 = 3 ˣ 9
6x + 3 = 27 , solving the simple linear equation,
6x = 27 - 3
6x = 24, and by dividing through by 6
x = 4
Therefore , the number is 4
This doesn’t include the Einstein problem cause I didn’t have that one.
Answer:
about 60.26 degrees
Step-by-step explanation:
The ratio of the tangent function for a, is 7/4
tan(a)=7/4
tan^-1(tan(a)=tan^-1(7/4)
a is about 60.26 degrees.
Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
