Answer:
x=35
Step-by-step explanation:
When a is parallel to b, the two angles will add to 180
x+ 3x+40=180
Combine like terms
4x+40 =180
Subtract 40 from each side
4x= 180-40
4x= 140
Divide by 4
4x/4 = 140/4
x=35
Look up range in the calculator
Answer:
3 1/2 small pizzas
Step-by-step explanation:
1/5 = 1 pizza
7/10 = x pizza
7/10 = 3.5/5
3.5/5 = 3.5 pizzas
2(x+2) > x+5
2x+4 > x+5
2x+4-x > x+5-x
x+4 > 5
x+4-4 > 5-4
x > 1
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
