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Xelga [282]
3 years ago
10

100 POINTS PLEASE HELP ME!!

Mathematics
1 answer:
Serga [27]3 years ago
8 0
3)

check the picture below.

bearing in mind that the point of tangency, the green one there, is always a right-angle, then we get that much for the distance AB.

since the satellite can emit a signal at a speed of 186,000 miles/second, how long will it be to cover AB?  well, it'll just be AB/186000, which is about 0.1381 seconds.

and how long will it be to cover the distance AE?  well, it'll just be AE/186000, which is about 0.11828 seconds.

of course is quicker to AE since it's closer, so the difference for both distances will be AB - AE, which is about 0.01984121052328095721 seconds.



4)

if the satellite makes a revolution, or 2π, in 24 hours, and we know the satallite is orbiting at 22000+4000 or 26000 miles from the center of the Earth, thus its circular orbit has a radius of 26000, how many miles is that?

well, Circumference of a circle is C = 2πr, if r = 26000, then C = 2π(26000), so on those 24 hours it has covered 52000π miles.

how fast must it travel then?    \bf \cfrac{52000\pi }{24}~\cfrac{miles}{hours}\qquad \approx \qquad 6806.78~\frac{miles}{hour}

now if you need the rate in miles/seconds, bear in mind that an hour has 60 minutes and each minute 60 seconds, thus and hour has 60*60 seconds or 3600, thus its speed in miles/seconds will be 52000π/3600.

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Perry borrows $350 at a simple interest rate of 4.5%. Perry pays back the loan in 30 months. How much interest does Perry pay on
Nitella [24]

Answer: the interest on the loan is $39.38

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

From the information given,

P = $350

R = 4.5%

There are 12 months in a year. Converting 30 months into years, it becomes

30/12 = 2.5. so

T = 2.5 years

Therefore

I = (350 × 4.5 × 2.5)/100

I = $39.38

3 0
4 years ago
Consider the two data sets below:
alina1380 [7]

Answer:

<u><em>Option c) The data sets will have the same values of their interquartile range.</em></u>

<u><em></em></u>

Explanation:

<u>1. The values are in order: </u>they are in increasing oder, from lowest to highest value.

<u>2. Calculate the interquartile range.</u>

<em />

<em>Interquartile range</em>, IQR, is the third quartile, Q3, less the first quartile Q1:

  • IQR = Q3 - Q1

To find the first and the third quartile, first find the median:

<u>Data Set 1</u>: 19, 25, 35, 38, 41, 49, 50, 52, 59

             [19, 25, 35, 38],  41,  [49, 50, 52, 59]

                                         ↑

                                     median = 41

   

<u>Data Set 2</u>: 19, 25, 35, 38, 41, 49, 50, 52, 99

             [19, 25, 35, 38] , 41,  [49, 50, 52, 99]

                                         ↑

                                      median = 41

Now find the median of each subset: the values below the median and the values above the median.

Data set 1: <u>First quartile</u>

                [19, 25, 35, 38],

                            ↑

                           Q1 = [25 + 35] / 2 = 30

                   <u>Third quartile</u>

                   [49, 50, 52, 59]

                                ↑

                                Q3 = [50 + 52] / 2 = 51

                     IQR = Q3 - Q1 = 51 - 30 = 21

Data set 2: <u> First quartile</u>

                   [19, 25, 35, 38]

                               ↑

                               Q1 = [25 + 35] / 2= 30

                  <u>Third quartile</u>

                   [49, 50, 52, 99]

                                ↑

                                Q3 = [52 + 50]/2 = 51

                   IQR = 51 - 30 = 21

Thus, it is shown that the data sets have will have the same values for the interquartile range: IQR = 21. (option c)

This happens because replacing one extreme value (in this case the maximum value) by other extreme value does not affect the median.

<em>An outlier will change the range</em> because the range is the maximum value less the minimum value.

5 0
3 years ago
Reduce the following fraction to lowest terms: <img src="https://tex.z-dn.net/?f=16%2F20" id="TexFormula1" title="16/20" alt="16
Virty [35]
2/2 because 20 can go into 2 and 16 goes into 2
4 0
3 years ago
Read 2 more answers
If you deposit Tsh 4000 into an account paying 9% annual interest compound monthly ,low long until there is Tsh 10000 in the acc
pav-90 [236]

Answer:

It will take 10.63 years.

Step-by-step explanation:

Giving the following information:

Present value (PV)= $4,000

Future Value (FV)= $10,000

Interest rate (i)= 9% annual compounded

<u>To calculate the time required to reach $10,000, we need to use the following formula:</u>

n= ln(FV/PV) / ln(1+i)  

n= number of years

n= ln(10,000 / 4,000) / ln(1.09)

n= 10.63

It will take 10.63 years.

5 0
3 years ago
Help. I need both. Please
Darya [45]
Anything to the power of 0 is 1

So for the top, 2^0 = 1
For the bottom, 10^0 = 1


It is not 0, because anything that ends with 0/0 is <em>undetermined</em>, and will not result in an answer

hope this helps
6 0
3 years ago
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