Answer:
24 blocks
Step-by-step explanation:
He walks 5 blocks to get to the mall, another 7 to get to the theatre, and then walks 7 blocks to get to the store and then 5 more to get home.
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)
Mentally, rotating the Cartesian Plane 180º, we find that the figure that was in the 4th quadrant goes to the 2nd quadrant.
So, answer B
Answer:
190 students
Step-by-step explanation:
Set up a proportion:
95/100 = x/200
Cross multiply:
100x = 19000
Simplify:
x = 190 students
Answer:5
Step-by-step explanation: F(-3)=(-3)^2 -4
(-3)^2=9
F(-3)=9-4
F(-3)=5