Saint-Domingue became the country of_

Mathematics

1 answer:

kvv77 [185]2 years ago

3 0

Answer:

Haiti

Step-by-step explanation:

In 1791, enslaved Africans and some free people of color of Saint-Domingue began waging a rebellion against French authority. The rebels became reconciled to French rule following the abolition of slavery in the colony in 1793, although this alienated the island's dominant slave-owning class. France controlled the entirety of Hispaniola from 1795 to 1802, when a renewed rebellion began. The last French troops withdrew from the western portion of the island in late 1803, and the colony later declared its independence as Haiti, its indigenous name, the following year.

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Vector upper a overscript right-arrow endscripts has a magnitude of 69 units and points due west, while vector upper b overscrip

Tom [10]

Refer to the figure below.

Define unit vectors as follows:
$\hat{i}$ in the eastern direction
$\hat{j}$ in the northern direction

Given:
Vectors a and b point due west and south respectively. Therefore
$\vec{a} = -69 \ht{i} \\
\vec{b} = -69\hat{j}$

Part (a)
$\vec{a}+\vec{b}=-69\hat{i}-69\hat{j}=-69(\hat{i}+\hat{j})$
The magnitude is
|-69(√[1² + 1²])| = 69√2 = 97.58.
The direction relative to west is
θ = tan⁻¹ (b/a) = tan⁻¹ 1 = 45° south of west

Answer:
The magnitude of (a + b) is 97.58 or 69√2.
The direction is 45° south of west.

Part (b).
$\vec{a} - \vec{b} = -69\hat{i}+69\hat{j}=-69(\hat{i} -\hat{j})$
The magnitude is
|69(√(1+1)| = 69√2 = 97.58.
The direction relative to west is
tan⁻¹ (b/a) = 45° north of west.

Answer:
The magnitude of (a-b) is 97.58 or 69√2.
The direction is 45° north of west.