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boyakko [2]
2 years ago
5

HELP PLEASE (i need the answer and maybe an explanation but all i really want is an answer please)

Mathematics
1 answer:
Alina [70]2 years ago
3 0
C. 2x
This is because 2(2) is 4 and 2(4) is 8. You basically find the pattern between x and y. For these numbers you take x and multiply it by 2.
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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
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N i
Brilliant_brown [7]

Answer:

c

Step-by-step explanation:

5 0
2 years ago
Nora had already read 30% of the book before her teacher assigned it to the class. She is choosing between two options to finish
guapka [62]

Answer:

Let p represent the # of pages in the book.  Then, Nora has already read 0.30p pages and has 0.70p pages left to read.

If she reads 25% pages/night, that means reading 0.25(0.70)p pages per night, or 17.5 pages/night.  If 28% p/n, that means 0.28(0.70)p pages/night, or 19.6p pages/night.

How many nights will it take Nora to finish the book if she reads 25% of 7/10 of the book per night?  Without any calculations, we can answer this by "4 nights, since she reads 1/4 of the unread portion of the book per night."

If she reads 28% of 7/10 of the book per night, that will require fewer nights:

First night:  28%

Second night:  28%  

Third night:  28%

 Total:  3(28%) = 84%

This leaves 16% to read on the final night.

This is one interpretation of what I think is a poorly worded question.

The author of this question might have meant reading 25% of the remaining unread pages per night, which leads to a different answer.

7 0
3 years ago
2+266666662724683745946198753278313=
LUCKY_DIMON [66]

Answer:

2.6666666e+32

Step-by-step explanation:

1.add

2.multiply

3. you have your answer

6 0
3 years ago
What is the surface area of the rectangular pyramid shown? 59.5 cm2 63 cm2 75.5 cm2 99 cm2
arsen [322]

Answer:

Option D.

Step-by-step explanation:

In this question figure of pyramid is attached below the question .

Surface area of the rectangular pyramid :

Area of the Base = Length × Width

                            = 10 × 2 = 20 cm²

Area of Lateral #1 = \frac{1}{2}(P)(L)

                             = \frac{1}{2}(10\times6.3)

                             = 31.5 cm²

Area of Lateral #2 = \frac{1}{2}(8\times 2)

                               = \frac{16}{2}

                               = 8 cm²

Surface area of the pyramid = 20 + 2(31.5) + 2(8)

                                                = 20 + 63 + 16

                                                = 99 cm²

Surface area of the pyramid is 99 cm²

7 0
3 years ago
Read 2 more answers
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