208=(1+5x)Need help, i don't get it.
2 answers:
Hello there!
First you had to switch sides of equation form.
Then you subtract by one from both sides of equation form.
Simplify.
Next, you had to divide by five from both sides of equation form.
Finally, simplify by equation form.
You can also round up to the nearest tenths is 41.0 it will stay.
Final answer: or
Hope this helps!
And thank you for posting your question at here on brainly, and have a great day.
-Charlie
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Answer:
1. The fan blade makes 112.3 revolutions in 1.4 minutes
2. The linear velocity of the gears is the same. The linear velocity is 432π centimeters per minute ⇒ B
Step-by-step explanation:
1.
∵ The angular velocity of a fan blade is 8.4 radians per second
∴ ω = 8.4 rad/sec
- The revolution = the product of angular velocity and the time
of revolution ÷ 2π
∵ Revolutions = (ω . t)/2π
∵ The fan blade makes x revolutions in 1.4 minutes
∴ t = 1.4 minutes
- Change it to seconds
∵ 1 minute = 60 seconds
∴ 1.4 minutes = 1.4 × 60 = 84 seconds
- Substitute ω and t in the rule of revolutions
∴ Revolutions =
∴ Revolutions ≅ 112.2997278
∴ Revolutions ≅ 112.3
- Round it to the nearest tenth
∴ The fan blade makes 112.3 revolutions in 1.4 minutes
2.
∵ The radius of the larger gear is 8 centimeters
∵ The radius of the small gear is 3 centimeters
∵ The two gears are connected by a chain
- That means the move the same distance together
∴ , where n is the number of revolution for each
gear and C is the circumference of each gear
The formula of the circumference of a circle is C = 2πr
∵ = 2π(3) = 6π
∵ = 2π(8) = 16π
∵ The smaller gear completes 24 revolutions in 20 seconds
∴ = 24
- Substitute them in the rule above to find
∵ 24 × 6π = × 16π
∴ 144π = × 16π
- Divide both sides by 16π
∴ 9 =
∴ The larger gear completes 9 revolutions in 20 seconds
The linear velocities of the two gears are equal because they move together and make the same distance in the same time
∵ The linear velocity = Distance ÷ Time
∵ Distance which each gear makes = C × n
∴ V =
Let us use the smaller gear to find the linear velocity
∵ C = 6π centimeters
∵ n = 24 revolution
∵ t = 20 seconds
- Change it to minutes
∴ 20 seconds = 20 ÷ 60 = minute
∴ V =
∴ V = 432π cm/min
Let us check the answer by find the linear velocity fro the larger gear
∵ C = 16π centimeters
∵ n = 9 revolution
∵ t = minute
∴ V =
∴ V = 432π cm/min
The linear velocity of the gears is the same. The linear velocity is 432π centimeters per minute