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Over [174]
3 years ago
14

Which of the following is a solution to tanx+sqrt3=0?

Mathematics
2 answers:
defon3 years ago
3 0

Answer:

x=2π/3+π n

Step-by-step explanation:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

spayn [35]3 years ago
3 0

Answer:

300 degrees

Step-by-step explanation:

i just took the test and got it right

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while visiting a mountain, John approximated the angle of elevation to the top of a hill to be 25 degrees. Alfter walking 350 fe
strojnjashka [21]
There are several ways of going about this problem, but just know that it all boils down to triangles and the rules/laws of triangles.
So we start by making a large right triangle, because the hill is vertical with the horizontal ground, with 25° as the left angle (where John looks up to top), 90° is the right angle (where ground meets hill base). So we see that the top side of the triangle is the hypotenuse, and equals the line of sight from John to hilltop.
Now we've got additional information that if John walks 350ft towards the hill, his angle of elevation increases by 14. So that = 25+14 = 39. How does that possibly help us?? Well now we can make 2 triangles inside of the one we've already made. So that now we have the triangle base split between the left angle of 25° and where he stopped 350ft to the right of that.
Now the supplement of 39 is 141, and the remaining piece of that too left triangle = 180-25-141 = 14. What does that mean? Well now we have a triangle, where we know all 3 angles and 1 side --> we can find another side by the law of sines:
If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of sines states:
a÷sinA = b÷sinB = c÷sinC
We really need the hypotenuse to then find our hill height, so we'll make hypotenuse = side b in attached image. That being so, then its opposite angle (B) = 141. And the top right angle (C) = 14 with its opposite side (c) = 350ft.
Now we only need b÷sinB = c÷sinC
So b/sin141 = 350/sin14 --> b = 350sin141/sin14 = 350×.63/
b = 220.3/.24 = 910.47 ft
Now that's our hypotenuse, so using our original large right triangle, we can use right triangular trig. to solve. Let's make the right side, our hill height, equal to x.
Sin ¥ = opp. side / hypotenuse -->
Sin ¥ = x / hypotenuse
Sin25 = x / 910.5
x = 910.5×sin25 = 910.5×.423
x = 384.8 ft

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3 years ago
What is the unite rate for 42 laps in 6 races?
Nitella [24]
42/6 = 7 laps per race
3 0
2 years ago
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A group of friends were working on a student film that had a budget of $500. They used $25 of their budget on props. What percen
Dmitriy789 [7]

Answer:

1/8

Step-by-step explanation:

5 0
3 years ago
CAN SOMEONE PLEEAASE HELP WITH ME with these six questions I will love you forever
DaniilM [7]

Answer:

1. Congruent(SAS)

2. Congruent(AAS)

3. Congruent(HL)

4. Not congruent

5. Congruent(SSS)

6. Congruent(AAS)

4 0
3 years ago
2/7x = 10 show work plz
Rashid [163]

Answer:

x = 35

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2/7*x-(10)=0

                 2

Simplify   —

                  7

  2        

 (— • x) -  10  = 0

  7        

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

             10             10 • 7

   10 =  ——  =  ——————

               1                 7  

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

           2x - (10 • 7)                       2x - 70

—————————————  =  ———————

                     7                                   7  

Pull out like factors :

  2x - 70  =   2 • (x - 35)

         2 • (x - 35)

 ————————————  = 0

                 7      

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

      2•(x-35)

 ———————— • 7 = 0 • 7

          7    

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (x-35)  = 0

Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x-35 = 0

Add  35  to both sides of the equation :

                     x = 35

4 0
3 years ago
Read 2 more answers
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