In a full rotation, 360°, a point on the edge of a gear would travel a distance equal to its circumference. The circumference of a circle is:
C=2πr, and since we are only traveling 150°, we need to set up an appropriate ratio for circumference to the distance the point travels:
d/C=150/360
d=5C/12 and since C=2πr
d=10πr/12
d=5πr/12, and since r=4in
d=5*4π/12 in
d=20π/12 in
d=5π/3 in
d≈5.24 in (to nearest hundredth of an inch)
Answer: n = -2
Step-by-step explanation:
3n +2(n + 2) = 9n + 12
(simplify 2(n + 2)) =
3n + 2n + 4 = 9n + 12
(subtract 9n from both sides)
3n + 2n - 9n + 4 = 12
-4n + 4 = 12
(subtract 4 from both sides)
-4n = 8
(divide -4 from both sides)
n = -2
Answer:
its C
Step-by-step explanation:
Answer:
forstone
Step-by-step explanation:
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