Convert z = 8cos72° + 8isin72° from polar form to rectangular form.

The rectangular form of z = 8 cos72° + 8 sin72° is z = (2.5 , 7.6)

Step-by-step explanation:

* Lets revise how to change from polar form to rectangular form

- Cartesian Coordinates (x , y) and Polar Coordinates (r , θ)

- Where x = r cosФ , y = r sinФ

* To convert from Polar Coordinates (r , θ) to Cartesian Coordinates (x , y)

 # x = r × cos( θ )

 # y = r × sin( θ )

* In the problem

∵ z = 8 cos72° + 8 sin72°

∴ r = 8

∴ Ф = 72°

∵ x = r cosФ

∴ x = 8 cos72° = 2.5

∵ y = r cosФ

∴ y = 8 sin72° = 7.6

* The rectangular form of z = 8 cos72° + 8 sin72° is z = (2.5 , 7.6)

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²