42 - -84=-42
Hope this helps :)
9514 1404 393
Answer:
- 16,965 mm/min
- 90π ≈ 282.7 radians/min
Step-by-step explanation:
The circumference of the CD is ...
C = πd
C = π(120 mm) ≈ 376.99 mm
This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:
(376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min
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There are 2π radians in each revolution, so the angular speed is ...
(2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min
Answer: 9
Step-by-step explanation:
The factors of 27 are: 1, 3, 9, 27
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54
Then the greatest common factor is 9.
Hope this helped ! :)
Answer:
A
Step-by-step explanation:
The diagonals of a rectangle are congruent and bisect each other, so
AC = BD
2AG = 2DG, that is
AG = DG, substitute values
- 7y + 5 = 2y + 68 ( subtract 2y from both sides )
- 9y + 5 = 68 ( subtract 5 from both sides )
-9y = 63 ( divide both sides by - 9 )
y = - 7
Hence
BD = 2(2y + 68)
= 4y + 136
= (4 × - 7) + 136
= - 28 + 136
= 108 → A
Answer:
-5/2
Step-by-step explanation:
11-16=-5
-1-1=-2
