By adding taxes on the goods being carried by traders. Kingdoms would often thrive on taxes. Taxes would often come in form of goods or weapons. In most cases, food always used to pay for the services. This is because of the growing agricultural sector of many civilizations
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°
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Answer:
a = 132 m/s^2
Explanation:
f(t) = t^4 − 2t^3 − 6t^2 + 9t
v = f'(t) = 4t^3 - 6t^2 - 12t + 9
a = f''(t) = 12t^2 - 12t -12
Substitute t = 4 seconds into the equation for a:
a = 12(16) -12(4) -12 = 132 m/s^2