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xenn [34]
2 years ago
10

Simplify: 9 (5x-4) + 4x

Mathematics
2 answers:
m_a_m_a [10]2 years ago
8 0

Answer:

49x+36

Step-by-step explanation:

Hey There!

for this question they would like you to simplify the expression using distributive property

To do this the first step is to distribute the 9 in to everything that is in the parenthesis

9x5x=45x

9x4=36

so now we have

45x+36+4x

the next step is to combine like terms

the only like terms in the expression are 45x and 4x so we just add the two together

45x+4x=49x

so now we have 49x+36

In conclusions the simplified version of that expression is 49x+36

iogann1982 [59]2 years ago
4 0

Answer:

49x-36

Step-by-step explanation:

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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

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     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

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        \pm  p%

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 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

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Converting to degree

           d\theta_1  = (0.25* 57.29) p

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Step-by-step explanation:

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