Define the unit vectors along the x and y axes as

correspondingly.
Consequently, the vector from P to Q is

In terms of components, vector PQ is represented as (-8,5).
The magnitude of vector PQ can be calculated as
√[(-8)² + 5²] = √(89) = 9.434
Answer:
Thus, vector PQ is (-8, 5), and its magnitude equals √89 (or 9.434).
Answer:
Shane must have gathered a minimum of 911 cans.
Step-by-step explanation:
Let S represent the number of cans Shane collected.
Since Abha collected 178 more cans, her total is S + 178.
The combined total should be at least 2000:
S + (S + 178) ≥ 2000
2S + 178 ≥ 2000
2S ≥ 2000 - 178
2S ≥ 1822
S ≥ 911
Therefore, Shane must have collected at least 911 cans.
Distributions from owners refer to payments that business owners take out from profits the firm earns, commonly issued as dividends. An ADR, or American Depositary Receipt, is a type of stock bought and sold within the U.S. market that represents a specific number of shares in a foreign company. Therefore, the owner’s payments do not originate from the ADR shares.
Answer:
tan−1(StartFraction 6.9 Over 9.8 EndFraction)
Step-by-step explanation:
tan−1(StartFraction 6.9 Over 9.8 EndFraction)
The tangent is defined as opposite over adjacent, thus 9.8/6.9
The inverse tangent operates as 1 / tan and equals 1 / (9.8 / 6.9) = 6.9 / 9.8