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alina1380 [7]
3 years ago
8

A wheel has a diameter of 70 cm and completes a revolution in 0.25 seconds at top speed

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

  • 8π radians/second
  • 527.8 meters

Step-by-step explanation:

A) The angular velocity is the ratio of angular distance to time:

  ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)

  ω = 8π radians/second

__

B) The arc length is ...

  s = rθ = rωt

  s = (35 cm)(8π rad/s)(60 s) = 16,800π cm

  s ≈ 52779 cm = 527.79 m

The wheel travels about 527.8 meters in one minute.

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What word describes the slopes of the line
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Answer:

Positive

Step-by-step explanation:

There are a couple ways we can go about this.

First, we can see that as x increases, so does y, so that means its positive

For perspective, if x is the amount of time and y is the number of sales, we can see that the sales are going up and not going down or staying at the same place

If you wanna check your work on that, you can plot two points and find the slope using y1-y1/x1-x2 and the slope will be positive.

We can also use the process of elimination, we know it can't be zero because it's not a straight, horizontal line and we know its not undefined because it isn't a straight vertical line, so it's between negative and positive, and since the line is going up, that means that it's positive.

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Explain why f(x) = x2+4/x2-x-2 is not continuous at x = 2.
xxTIMURxx [149]

Answer: Option a.

Step-by-step explanation:

 Make the denominator equal to zero and solve for x:

Factor the quadratic equation. Find two number whose sum is -1 and whose product is -2. Then:

x^{2}-x-2=0\\(x-2)(x+1)=0\\x=2\\x=-1

Then, as you can see the value x=2 makes the denominator equal to zero and the division by zero does not exist. Therefore you can conclude that the function shown in the problem is not defined at x=2

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3 years ago
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What are the factors of 4x^2+13x+3?
Katyanochek1 [597]
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3 years ago
Find the surface area of each figure round your answers to the nearest hundredth if necessary
Wewaii [24]

Answer: 410 square km

Step-by-step explanation:

The area of each of the triangles with their base on the 10 km side is A=\frac{1}{2}(10)(13.4), so their combined area is (10)(13.4)=134.

The area of each of the triangles with their base on the 12 km side is \frac{1}{2}(12)(13), so their combined area is (12)(13)=156.

The area of the bottom rectangular face is 10(12)=120.

So, the total surface area is 120+156+134=\boxed{410 \text{ km}^{2}}

3 0
1 year ago
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