1. The direction of the vector relative to the positive x-axis satisfies
2. A vector with magnitude and direction has component form
We have , but "angle of 60 degrees with the negative x-axis" is a bit ambiguous. I would take it to mean "60 degrees counterclockwise relative to the negative x-axis", so that the direction is . Then
But this doesn't match any of the options, so more likely it means the angle is 60 degrees clockwise relative to the negative x-axis, in which case and we'd get
3. Same as question 2, but now we're using notation. The vector has magnitude and its direction is . So the vector is
4. The velocity of the plane relative to the air, is 175 mph at 40 degrees above the positive x-axis. The velocity of the air relative to the ground, , is 35 mph at 60 degrees above the positive x-axis. We want to know the velocity of the plane relative to the ground, .
We use the relationship
Translating the known vectors into component form, we have
This vector has magnitude and direction
(or 43 degrees NE)
1 1/2 gallons = 12 pints
1pint = 2cups
12 pints x 2cups= 24 cups
So the answer is 24cups
Answer:
4y
Step-by-step explanation:
if you subtract a negative it becomes an addition problem. y+3y or 1y+3y which both equal 4y