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Marianna [84]
3 years ago
7

Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 2 inches, and the larger gear has a ra

dius of 8 inches.
two circles touching at one point. Larger circle has radius of 8 inches. Smaller circle has radius of 2 inches.

Part 1: What is the angle measure, in degrees and rounded to the nearest tenth, through which the larger gear has rotated when the smaller gear has made one complete rotation?

Part 2: How many rotations will the smaller gear make during one complete rotation of the larger gear?
Mathematics
1 answer:
Sedaia [141]3 years ago
5 0
1.
The larger gear will have turned through an arc equivalent in length to the smaller circle's circumference. Thus:
2πr(small) = r(large)∅
2π(2) = 8∅
∅ = π/2 = 90°

2.
The distance covered by the larger gear will be:
C = 2πr
C = 2π(8)
C = 16π

Per revolution, the smaller wheel covers:
C = 2πr
C = 2π(2)
C = 4π

Number of revolutions of smaller wheel = 16π / 4π
Number of revolutions = 4
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3 years ago
Brian irons 2/9 of his shirt in 3 3/5 minutes. At this rate, how much of his shirt does he iron each minute?
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The speed for which Brian iron the shirts is given by:

R = \frac{\frac{2}{9}}{3\frac{3}{5}}

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Answer:

At this rate, Brian plans 10/162 of his shirt.

8 0
2 years ago
Read 2 more answers
Please help with math question!!
mihalych1998 [28]
The answer to this problem is C.
Here's why:
The area of a triangle = 1/2 * (base) * (height) (Note: a triangle is half of a rectangle, and rectangles have Area = (base) * (height)) 

<span>Because the base of ΔAED is half of ΔACB (2 = (1/2) * 4), and height of ΔAED is half of ΔACB (3 = (1/2) * 6), we know that the area of ΔAED will be half of ΔAED. 
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So, it's C. I am sure =)
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5 0
3 years ago
Can someone help me?
ad-work [718]

Answer:

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Step-by-step explanation:

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  370 = r + 4m

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  (530) -(370) = (r +6m) -(r +4m)

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2 years ago
Select the correct answer.<br> What is the value of x in the triangle?
Alenkinab [10]

Answer:

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