Yes it is , hope it helped
Answer:
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Step-by-step explanation:
Answer:
Component Form: v = <-1,6>
Magnitude of v: ||v|| = √37
Direction of v: θv = 100° (to the nearest degree)
Step-by-step explanation:
Component Form: v = <(5-6),(3-(-3))> = <-1,6>
Magnitude of v: ||v|| = √[(-1)²+(6)²] = √(1+36) = √37
Direction of v: α = tan⁻¹|6/-1| = tan⁻¹|-6| = tan⁻¹(6) = 80.53° which is your reference angle, but to verify that the angle is in the second quadrant, you'll need to do θv = 180° - 80.53° = 99.47°, therefore your direction angle is θv=100° to the nearest degree.
The equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.
<u>Step-by-step explanation:</u>
- Sally gets paid $15.00 dollars per hour for a 40-hour weekly work.
- She gets y dollars for each extra hour she works over 40 hours.
<u>The equation can be framed as :</u>
Let,
- x be the total pay she could get for 48 hours.
- The amount she earned for 40 hours = 40 × $15 ⇒ $600
- The amount she earned for extra hours = 8 × y ⇒ 8y
The equation is given as,
Total earnings = amount earned for 40 hours + amount for extra 8 hours.
⇒ x = 600 + 8y
Therefore, the equation x = 600 + 8y represents the earnings of Sally if she works 48 hours.
