Answer:
-7π/3 or -420 degrees
Step-by-step explanation:
So we know that the arrow has made one full rotation and that it is moving in a clockwise direction. So already we have -2π degrees.
The arrow stops at π/6 before the next π/2 rotation. Therefore we find the difference between the two.
π/2 - π/6
3π/6 - π/6 = 2π/6
π/3
Since this is still clockwise, we make this negative. So the measure of the angle shown by the arrow is -2π - π/3
Dance (D) + Rap (R) + Country (C) = 1,075 songs
D = 3R
C = R + 105
RAP
Subtract 105 from both side:
(3R) + R + (R + 105) = 1,075
-105 -105
Combine all R's:
(3R) + R + R = 970
5R = 970
Divide both sides by 5:
5R = 970
/5 /5
R = 194
DANCE
D = 3(R)
D = 3(194)
D = 582
COUNTRY
C = R + 105
C = 194 + 105
C = 299
So, the DJ has a total of 194 rap songs, 582 dance songs, and 299 country songs.
Answer:
67
Step-by-step explanation:
Midpoint of (x1,y1) and (x2,y2) is
((x1+x2)/2,(y1+y2)/2)
just average the x and y values
(5,-8) and (10,18)
((5+10)/2,(-8+18)/2)
(15/2,10/2)
(7.5,5)
the midpoint is (7.5,5)
