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Nikolay [14]
3 years ago
14

A DVD with a radius of 6 centimeters rotates at a speed of 243 revolutions per minute. Find the liner speed in centimeters per s

econd.
Mathematics
1 answer:
saul85 [17]3 years ago
5 0

Answer:

152.7 cm/s

Step-by-step explanation:

The radius of DVD, r = 6 cm

The angular speed of DVD, \omega=243\ rev/min=25.45\ rad/s

We need to find the linear speed of the DVD.

The relation between linear speed and angular speed is given by :

v=r\omega\\\\v=0.06\times 25.45\\\\v=1.527\ m/s

or

v = 152.7 cm/s

So, the linear speed of the DVD is 152.7 cm/s.

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In the diagram provided, line I is parallel to line m. Select which of the following statements could be used to prove that
atroni [7]
<h3>Answer: There is only one answer and it is choice B</h3><h3>Angle 1 and angle 4 are alternate interior angles</h3>

========================================================

Explanation

  • A. This is false because it should be angle 4 + angle 5 = 180 without the angle 6. Adding on angle 6 results in some angle larger than 180. Note how angle 5 = (angle 3)+(angle 6).
  • B. This is true and useful to showing that the three angles of a triangle add to 180 degrees. This is because you'll use the fact that angles 4, 5 and 6 combine to 180 degrees.
  • C. While this is a true statement by the exterior angle theorem, it is not useful to the proof. It is better to state that angle 2 and angle 6 are congruent because they are alternate interior angles.
  • D. Like choice C, it is true but not useful. It's better to say that angle 1 is congruent to angle 4. See choice B above.

Note how it's not enough for a statement to be true. It also needs to be relevant or useful to the context at hand. A more simpler example of this could be stating that x+x = 2x.

8 0
3 years ago
Use your creativity... Write a short story/problem/question that can be described by the scenario of 4 divided by 1/2
vazorg [7]

Answer:

I was at the store getting groceries I saw that there was a sell on bags of candy The original price was 4.00 dollars The sale is 1/2 off a bag of candy what is the new price.   The answer is 2.00 dollars.

8 0
3 years ago
An educator claims that the average salary of substitute teachers in school districts is less than $60 per day. A random sample
valentina_108 [34]

Answer:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

Step-by-step explanation:

Information given

60, 56, 60, 55, 70, 55, 60, and 55.

We can calculate the mean and deviation with these formulas:

\bar X= \frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Replacing we got:

\bar X=58.875 represent the mean

s=5.083 represent the sample standard deviation for the sample  

n=8 sample size  

\mu_o =60 represent the value that we want to test

\alpha=0.1 represent the significance level

t would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean is less than 60, the system of hypothesis would be:  

Null hypothesis:\mu \geq 60  

Alternative hypothesis:\mu < 60  

The statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info we got:

t=\frac{58.875-60}{\frac{5.083}{\sqrt{8}}}=-0.626    

The degrees of freedom are given by:

df=n-1=8-1=7  

The p value would be given by:

p_v =P(t_{(7)}  

Since the p value is higher than 0.1 we have enough evidence to FAIl to reject the null hypothesis and we can't conclude that the true mean is less than 60

3 0
3 years ago
A car travels at an average speed of 52 miles per hour. How long does it take to travel 299 miles
drek231 [11]
The answer should be 299/52=almost 6 hours.
6 0
3 years ago
In science class, Danny had 200ml of liquid. However, he spilt some of the liquid and now has 170ml left. What is the percent of
Bond [772]

Answer:  170

Step-by-step explanation: To find the percent change, simply multiply this number by 100.

8 0
3 years ago
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