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Setler [38]
3 years ago
7

If cos(2/3x+20)°=sin(2x−10)°, find the acute angles of the corresponding right triangle.

Mathematics
1 answer:
adell [148]3 years ago
7 0

Answer:

A = 40°

B = 50°

Step-by-step explanation:

If cos A = sin B, then A + B = 90

So, 2x/3 + 20  + 2x - 10 = 90

      2x + 60 + 6x - 30 = 270

               8x + 30 = 270

                       8x = 240

                          x = 30

2x/3 + 20 = 60/3 + 20 = 20 + 20 = 40

2x - 10 = 2(30) - 10 = 60 - 10 = 50  or  90 - 40 = 50

       

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Aisha is going to ship some gifts to family members, and she is considering two shipping companies. The first shipping company c
olasank [31]

Answer Step-by-step explanation:

Word (story) problems are easy if you use a table to translate the words to precise, concise math variables and operations.  For example,

      Is means                =

    Larger than                                   +

     Four times a                           4*a

    F is 550 less than S                F = S – 550

      Total of A, B, C                       A + B + C  

This seems obvious – until you get stuck on a word problem.  So,

 “the first company” ,  “a second company”      becomes       Let their costs be F and S

                                                                                                 Let K be the number of kilograms

  “$20 to ship a medium box, plus an additional $2 per kilogram”           F =  $20 + 2*K

   “10 for the same size of box, plus an additional $3 per kilogram”           S  =  $10 + 3*K

  “the two shipping methods will cost the same amount”                               F = S

 “What is that weight?”                                                                             report K

 

Now, the math:

        F        =        S

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     $10  =  K

3 0
3 years ago
72 is what percent of 160?
Alchen [17]

72/160=?

Divide 72 by 160 to find the percent.

72/160=0.45

72 is 45% of 160.

I hope this helps :)

5 0
3 years ago
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Answer:

Ummm the first on I think

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3 years ago
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A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45
Lapatulllka [165]

The train will pass the jogger in 36 seconds.

Length of train = 120m

Speed of train = 45kmph

Distance by which the jogger is ahead of the engine of the train = 240 m

Speed of jogger = 9 kmph

To pass the jogger, the train will have to cover the length of the train and the distance by which the jogger is ahead of the engine of train.

Hence,

Distance = 120 + 240 = 360m

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Relative speed of train w.r.t jogger = 45 - 9 = 36 kmph = 10 m/s

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Consider the following conditional statement.
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Answer:

Step-by-step explanation:

<u>Part A:</u>

Lets take the value of a=10

Thus a+1=b

10+1=11 , it means the value of b is 11

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Now take the value of a as -3

Therefore a+1=b

-3+1= -2

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The pair of values for a and b are: a=10 then the value of b would be 11;

And a=-3; then the value of b would be: -2.

<u>Part B:</u>

It is not possible to create a pair of values for a and be, in which the numerical relationship shown in the given conditional statement is false, therefore b>a if a+1=b....

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