Answer:
a) 10°
b) closest: 27 seconds
farthest: 9 seconds
c) 20 ft
Step-by-step explanation:
a) Angles around a point add up to 360°, therefore 1 rotation = 360°
If it makes one rotation in 36 seconds, then there are 10° per second as 360/36 = 10
b) closest to wall: this will be a 3/4 rotation:
3/4 of 36 seconds = 0.75 x 36 = 27 seconds
farthest from wall: 1/4 rotation:
1/4 of 36 = 0.25 x 36 = 9 seconds
c) 18 seconds is half of 36 seconds. Therefore, you will have made a 1/2 rotation. So you will be on the same horizontal plane as the start position, but on the opposite side of the circle (see attached diagram).
Therefore, you will be 20ft away from the wall (shown in blue).
Answer:
Scale factor = 7
Step-by-step explanation:
Dilation with scale factor to map HEFG to DABC will be,
Scale factor =
=
Length of CD = Distance between two points C(0, -7) and D(-7, 0)
=
=
=
=
Length of GH = Distance between G(0, -1) and H(-1, 0)
=
=
Scale factor =
= 7