Answer:
x = 44.3°
Step-by-step explanation:
Redrawing the triangle,
To obtain x, we can apply the trigonometric relation :
Sin x = opposite / hypotenus
Opposite side = 6.5
Hypotenus = 9.3
Sin x = 6.5/9.3
x = sin^-1(6.5 / 9.3)
x = 44.34
x = 44.3°
The new function moved up by 8 units from the original.
The only difference in the functions is the y-intercept. The slope remained the same (
), but the y-intercept went up by 8, meaning the function moved up 8 units.
See the attached image for a graph of both functions. The new function is the solid blue line.
You are dividing by the power of 10. The metric system is based on multiples of 10, so you can convert meters to millimeters and vice versa fairly quickly by multiplying and dividing.