Suppose you walk 12.5 m in a direction exactly 19° south of west then you walk 19.5 m in a direction exactly 39° west of north. how far are you from your starting point in m?

D = 26.97 m

Explanation:

given,

you walk 12.5 m in a direction exactly 19° south of west

after that 19.5 m in a direction exactly 39° west of north.

distance calculation from the starting point = ?

D₁ = d₁ cos θ

D₁ = 12.5 x cos 19°

D₁ = 11.82 m

D₂ = d₂ cos θ

D₂ = 19.5 x cos 39°

D₂ = 15.15 m

distance from the starting point

D = D₁ + D₂

D = 11.82 + 15.15

D = 26.97 m

Distance from the starting point is equal to  26.97 m

a.metals can become magnetic if they have many spinning electrons that create magnetic fields.d.only some metals are attracted by magnets; these metals are called ferromagnetic.

d.wrapping an insulated wire around a metal with ferromagnetic properties and applying an electric current.

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .