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Helen [10]
3 years ago
5

Write 5.78 as a mixed number in simplest form.

Mathematics
2 answers:
Vanyuwa [196]3 years ago
7 0

Answer:

5 39/50

Step-by-step explanation:

Its in the hundreths so the fraction becomes 5 78/100 but if we divide both by 2 it becomes 5 39/50

Tresset [83]3 years ago
3 0

Answer: 5 39/50

Step-by-step explanation:

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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
2. The long-jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of
lakkis [162]

Answer:2. It’s 24.58

How many boards did the volunteers supply round your calculations to the nearest hundred- 13.44

How many whole boards-14

Step-by-step explanation:

8 0
3 years ago
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Assoli18 [71]

Answer:

3x/16+1/4

Step-by-step explanation:

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3 years ago
According to a label there are 25 cals per serving of turkey lunch meat. How many cals are there in 2.5 servings?
Marina86 [1]

Answer:

62.5 cals that's your answer hope this helps

3 0
3 years ago
What is the largest prime factor of 12
Alex Ar [27]

Answer:

3

Step-by-step explanation:


8 0
3 years ago
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