. The model below represents the equation 3x + 2 = 11.
1 answer:
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Answer:
<em>The larger gear will rotate through 156°</em>
Step-by-step explanation:
<u>Arc Length</u>
The arc length S of an angle θ on a circle of radius r is:
Where θ is expressed in radians.
The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.
Convert the angle to radians:
The arc length of the smaller gear is:
The larger gear rotates the same arc length, so:
Solving for θ2:
The larger gear will rotate through 156°
Answer:
3/8
Step-by-step explanation:
Find the height of the trapezoids
20 - 10 = 10
10/2 = 5
Find the area of the trapezoids
5*(20+10)/2 = 75
The formula for the area of the trapezoid is the height * the bases added together divided by 2
75*2(this is because there are 2 trapezoids) = 150
Put this to proportion of the total area of the dart board
150/ = 150/400 = 3/8
3/8 is the probability that you score 3 points