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denis-greek [22]
3 years ago
9

Find the exact value of tan A in simplest radical form.

Mathematics
1 answer:
spin [16.1K]3 years ago
6 0

Answer:

tan(A) = \frac{2\sqrt{15}}{11}

Step-by-step explanation:

Given:

Right ∆ABC

AB = 61

BC = 60

AC = 11

Required:

Value of tan A in radical form

SOLUTION:

tan(A) = \frac{opposite}{adjacent}

Opposite = 60

Adjacent = 11

tan(A) = \frac{60}{11}

tan(A) = \frac{\sqrt{4*15}}{11}

tan(A) = \frac{2\sqrt{15}}{11}

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velikii [3]

You would use the sine rule. This is because the sine rule is when you know two of the angles on any triangle.

Brainliest please! <3

4 0
3 years ago
Christine is 4 years younger than Mark. 3 years from now, she will be two-thirds as old as Mark find their present ages.Complete
icang [17]

Answer:Mark Is 9 years old; Christine is 5 years old

Step-by-step explanation:

Present age

LET  mark age be x

Christine be x-4 yrs

In 3 yrs Time

Mark will be x+3 yrs old

Christine  will be  (x -4 +3) = x-1 years old

Also, In 3 years time

Christine  = 2/3 Mark

such that

  x-1 = 2/3(x+3)

  x -1= 2x+6 / 3

    3x  -3= 2x+6

      3X--2X = 6+3

         =X=9

Mark Is 9 years old

Christine is   x -4 = 9-4=5 years old

5 0
3 years ago
The set of order pairs (-1, 8), (0,3) (1,2) and (2, -7) represent a function. What is the range of the function?
goldfiish [28.3K]
Answer: The range is the set {8, 3, 2, -7} which can be sorted to get {-7, 2, 3, 8}

------------------------------------------------------------------------------

Explanation:

The range is simply the set of possible y values. All you have to do is list all the y coordinates and surround the values in curly braces. The curly braces indicate a set. Every point is of the form (x,y). The y coordinate is the second value listed of each ordered pair.
8 0
3 years ago
Three friends have a total of 6 identical pencils, and each one has at least one pencil. In how many ways can this happen?
Lorico [155]

Answer:

Step-by-step explanation:

events are 1+1+4=6

1+2+3=6

1+3+2=6

1+4+1=6

2+1+3=6

2+2+2=6

2+3+1=6

3+1+2=6

3+2+1=6

4+1+1=6

total number of ways=10

7 0
3 years ago
Read 2 more answers
(SHOW UR WORK I DONT FEEL LIKE DOING THIS XDD BUT THANKSS) 98.73 ÷ 15 =
Juliette [100K]

Answer:

Answer 6.582

Step-by-step explanation:

   0 6. 5 8 2

1 5 9 8. 7 3 0

 − 0        

   9 8      

 − 9 0      

     8 7    

   − 7 5    

     1 2 3  

   − 1 2 0  

         3 0

       − 3 0

           0

Hope its understandable ._.

5 0
2 years ago
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