Answer:
m<MON = 100°
Explanation:
Given:
Area of shaded sector LOM = 2π cm²
NL = 6 cm
Required:
m<MON
Solution:
m<MON = 180° - m<LOM (angles in a straight line)
We don't know m<LOM. Therefore, let's find m<LOM.
Area of a sector = θ/360 × πr²
Area of sector LOM = 2π cm²
r = 3 cm
θ = m<LOM = ?
Plug in the values
2π = m<LOM/360 × π × 3²
2π = m<LOM/360 × 9π
2π = m<LOM × 9π/360
2π = m<LOM × π/40
Multiply both sides by 40
2π × 40 = m<LOM × π
80π = m<LOM × π
Divide both sides by π
80π/π = m<LOM
80 = m<LOM
m<LOM = 80°
✔️m<MON = 180° - m<LOM (angles in a straight line)
Substitute
m<MON = 180° - 80°
m<MON = 100°
Answer:
She wants her son to be have for whren they go to church so she uses a candy to show him if she does behave he will get one.
Explanation:
I got the same answer as you so try picking the answer that is closest to the answer you got sorry i couldn't help much
Answer:
Feudal lords controlled castles and had military strength that allowed them to create social and political order in vast areas. In several cases, the concentration of power and wealth in the hands of feudal lords allowed them to build some sort of powerful states. However, the fragmentation of political power paved the way for many dangers, like wars, invasions, and famine.
Explanation:
Feudalism is the denomination of the predominant political system in Europe and the Middle East during the Middle Ages, characterized by the <u>decentralization of political power</u>. By relying on the diffusion of power from the cusp (where the emperor or the kings were in theory) to the base where local power was effectively exercised with great autonomy or independence by an aristocracy, called nobility, whose titles derived from governors of the Carolingian empire (dukes, marquises, counts) or had another origin. Feudalism responded to the insecurity and instability of the time of the invasions that were happening for centuries. Given the inability of state institutions, far away, the only security came from local authorities, lay nobles or ecclesiastics, who controlled castles or fortified monasteries in rural settings, converted into new centers of power in the face of the decay of cities.
Feudalism allowed the Lords to concentrate a great power and wealth in vast areas, which in time would derive in the creation of powerful states. It also led to constant conflicts and wars among several feuds. Since there was no clear higher power above the feudal lords, it created a fragile and unstable social and political order that paved the way for wars, invasions, and famine.