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Soloha48 [4]
3 years ago
7

Ryan biked from home to school in 1/5 of an hour. His speed was 10 mph. How far apart are his school and his house?

Mathematics
2 answers:
AlekseyPX3 years ago
7 0
2 miles is the answer, my man<span />
Alla [95]3 years ago
3 0
Wouldn’t it be five miles ? Because if you’re 10 miles in an hour and it takes you a half hour 60 minutes divided by two is thirty minutes. so you divide ten by two. I’m pretty sure it’s five
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You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then
gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is  d\theta_1  =(14.36p)^o

Step-by-step explanation:

From the question we are told that

    The angle of elevation  is  \theta_1  =  15 ^o =  \frac{\pi}{12}

     The height of the tree is  h

      The distance from the base is  D

h is mathematically represented as

            h  = D tan \theta       Note : this evaluated using SOHCAHTOA i,e

                                               tan\theta  =  \frac{h}{D}

Generally for small angles the series approximation of  tan \theta \  is

          tan \theta  =  \theta  + \frac{\theta ^3 }{3}

So given that \theta =  15 \ which \ is \ small

       h = D (\theta + \frac{\theta^3}{3} )

       dh = D (1 + \theta^2) d\theta

=>        \frac{dh}{h} =  \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta

Now from the question the relative error of height should be at  most

        \pm  p%

=>    \frac{dh}{h} =   \pm p

=>    \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta  = \pm p

=>      d\theta  =  \pm  \frac{\theta +  \frac{\theta^3}{3} }{1+ \theta ^2} *    \ p

 So  for   \theta_1

            d\theta_1  =  \pm  \frac{\theta_1 +  \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} *    \ p

substituting values  

          d [\frac{\pi}{12} ]  =  \pm  \frac{[\frac{\pi}{12} ] +  \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} *    \ p

 =>       d\theta_1  = 0.25 p

Converting to degree

           d\theta_1  = (0.25* 57.29) p

            d\theta_1  =(14.36p)^o

4 0
3 years ago
HELPPPP
fredd [130]

Not sure if this is correct but:

Step-by-step explanation: P = 2000

                                             R = 5% = 0.05

                                             n = 4

                                      y = 2000 ( 1 + \frac{0.05}{4}) ^{4t} = 2000 ( 1.0125 )

                                       Substitute values in the compound interest formula:

                                        y = P ( 1 + \frac{r}{n})^{nt} .

Hope this helps..                  

6 0
3 years ago
Round 299.2131 to the nearest thousands
Digiron [165]

Answer:

Step-by-step explanation:

First find the place that is the thousandth place. That would be the 3 then you will look beside the 3 to see if their is a number bigger than five. If there is then you would add whatever number to make the number 10. In this case their is not so you would instead look at the three and replace all the numbers to the right of three ( don’t change three though) and make them zeros. So that will leave you with 299.2130 rounded to the nearest thousandth.

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3 years ago
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bixtya [17]
I was butt x2-7+12=0 what
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Jonathan has a collection of 400400400 marbles. Blue marbles make up 17\%17%17, percent of his collection. How many blue marbles
hammer [34]
23 and a half Marbles

#BVISSCH
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