Answer:
2, 120 degrees
Step-by-step explanation:
The first step in finding the polar form is finding the modulus, r
r= sqrt( x^2 + y^2)
r = sqrt( (-1)^2 + sqrt(3)^2)
r = sqrt(1+3)
r= sqrt(4)
r =2
The next step is finding the angle
theta = arctan (y/x)
theta = arctan (sqrt(3)/-1))
theta = arctan (-sqrt(3))
theta = -60
The point (-1, sqrt(3)) is in the 2nd quadrant, but our angle is in the 4th quadrant, so we add 180 degrees
theta = -60 + 180 = 120
theta = 120 degrees
P </= -3 .......... put like that
Answer:
there would be 52 more girls I think
Step-by-step explanation:
let x = multiplier then
31x =number of boys
44x = number of girls
Boys + girls = 300
44x + 31x =300
75x = 300
x = 300/75
x = 4 is the multiplier
therefore:
44*4 = 176 girls
31*4 = 124 boys
dif = 52 more girls than boys
hope this helped :)
Answer:
(-∞, -7) ∪ (-3, ∞)
Step-by-step explanation:
The line y=0 is the x-axis. The graph is above the x-axis for x < -7 and for x > -3. The solution set is ...
(-∞, -7) ∪ (-3, ∞)
Answer:
6
Step-by-step explanation:
Speed = Distance/time
Therefore time must = distance/speed
Since the two students are running apart from eachother, we can add their speeds together.
Also we can subtract 10 feet from our goal of 1870 since they're already 10 feet apart.
1860 feet/(150+1650) feet per minute
We can cancel out the feet since it's a common term.
And we're left with 6 minutes.