What is the supplement angel of 66
2 answers:
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Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
Answers:
x=22
x+4=26
6x=132
Explanation:
We learned from the question that all of the angles in a triangle add up to 180 degrees.
180=angle+angle+angle
When we plug in the values that the question gives us for the angles, we get this equation:
180=x+6x+(x+4)
After solving this equation, we get 22 as the value of x (The process of solving that equation is in the picture attached).
To solve for (x+4), we plug in the value of x, which is 22 and add 4.
(x+4)
=(22+4)
=26
And finally, to solve for 6x, we plug in 22 again:
6x
=6*22
=132
Hope this helps!
x=22
x+4=26
6x=132
Explanation:
We learned from the question that all of the angles in a triangle add up to 180 degrees.
180=angle+angle+angle
When we plug in the values that the question gives us for the angles, we get this equation:
180=x+6x+(x+4)
After solving this equation, we get 22 as the value of x (The process of solving that equation is in the picture attached).
To solve for (x+4), we plug in the value of x, which is 22 and add 4.
(x+4)
=(22+4)
=26
And finally, to solve for 6x, we plug in 22 again:
6x
=6*22
=132
Hope this helps!