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valentina_108 [34]
3 years ago
9

I know it’s a lot to ask but please show your work so I know how to do it. Thank you!

Mathematics
1 answer:
jonny [76]3 years ago
8 0

Answer:

The answer to your question is below

Step-by-step explanation:

Use trigonometric functions to find x

13.  cos 40 = 5/x

     x = 5 / cos 40

     x = 5 / 0.766

     x = 6.5

14. tan 25 = x/9

     x = 9tan 25

     x = 9(0.466)

     x = 4.2

15.- cos 65 = x/12

      x = 12 cos 65

      x = 12 (0.423)

      x = 5.1

16.- sin 32 = 15/x

      x = 15 / sin 32

      x = 15 / 0.53

      x = 28.3

17.- tan 55 = 20 / x

      x = 20 / tan 55

      x = 20 / 1.42

      x = 14

18.- sin31 = x / 18

     x = 18 sin 31

     x = 18 (0.52)

     x = 9.3

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so they are 1-i and -2+2i


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See the image attached for all information needed.
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The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the
jolli1 [7]
If you've started pre-calculus, then you know that the derivative of  h(t)
is zero where h(t)  is maximum.

The derivative is            h'(t) = -32 t  +  96 .

At the maximum ...        h'(t) = 0

                                       32 t = 96 sec

                                           t  =  3 sec . 
___________________________________________

If you haven't had any calculus yet, then you don't know how to
take a derivative, and you don't know what it's good for anyway.

In that case, the question GIVES you the maximum height.
Just write it in place of  h(t), then solve the quadratic equation
and find out what  't'  must be at that height.

                                       150 ft = -16 t²  +  96  t  +  6 

Subtract 150ft from each side:    -16t²  +  96t  -  144  =  0 .

Before you attack that, you can divide each side by  -16,
making it a lot easier to handle:

                                                         t²  -  6t  +  9  =  0

I'm sure you can run with that equation now and solve it.    
The solution is the time after launch when the object reaches 150 ft.
It's 3 seconds.  
(Funny how the two widely different methods lead to the same answer.)

The answer is from AL2006

6 0
4 years ago
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