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mario62 [17]
2 years ago
5

Solve for x. 8.7 + X = 7 = 1.1 x = [?]

Mathematics
1 answer:
allsm [11]2 years ago
4 0

Answer:

-1.7

Step-by-step explanation:

8.7 + X =7

incorporate the shoes and socks method. We must do the opposite of what is being done. If we are adding X, we will subtract X on both sides leaving you with 8.7=7-x. We want X on one side of the equation so now we take the 8.7 and subtract on both sides giving 7-x-8.7. we must add X on both sides so we can have a X on one side thus X= 7-8.7. we can ordinary subtract and will give us -1.7.

X=-1.7

8.7+(-1.7) =7

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Answer:

<u>Part 1:</u> Angle = 154.3°

<u>Part 2:</u> About 2.33 Rotations


Step-by-step explanation:


Part 1:

The arc length of a circle is given by the formula  s=r\theta

Where

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  • r is the radius of the circle
  • \theta is the angle

**The angle are in radians and we will use radian**

When smaller gear has made 1 complete rotations (2\pi radians), the arc length traveled is s=r\theta\\s=(3)(2\pi)\\s=6\pi


Now, what angle is swept by the larger circle when it travels 6\pi? Put in s=6\pi and r is 7 to find \theta:

s=r\theta\\6\pi=(7)\theta\\\theta= \frac{6\pi}{7}

** Since \pi radians is 180°, we plug in 180 into \pi and find the degree measure:

\frac{6\pi}{7}=\frac{6*180}{7}=154.3

Angle = 154.3°


Part 2:

In one complete rotation of the larger gear, it travels a distance of:

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We know that the smaller circle makes 1 rotation and travels s=r\theta=(3)(2\pi)=6\pi, so in 14\pi distance, it makes:

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