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GREYUIT [131]
2 years ago
14

Consider a triangle A B C like the one below. Suppose that B = 57°, C= 65°, and a = 48. (The figure is not drawn to scale.) Solv

e the triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".

Mathematics
1 answer:
Komok [63]2 years ago
5 0

Answer:

A = 58 degrees

b = 51.9

c = 48.5

Step-by-step explanation:

To find A we simply just need to remember that all triangles add up to 180 degrees and we are already given two angles of the triangle so....

57 + 65=122

122+58=180

A=58

To find sides b and c we use the law of sines since we now know the angle of each side.

a=48

b=48\times\frac{sin65}{sin57} =51.87

51.87

7>5

51.9

b=51.9

c=48\times\frac{sin58}{sin57} =48.54

48.54

4

c=48.5

Hope this helps.

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Isolate the x. Note the equal sign. What you do to one side you do to the other.


Subtract 2y from both sides


2x + 2y (-2y) = 10 (-2y)


2x = 10 - 2y


Isolate the x, divide 2 from both sides and from all terms.


(2x)/2 = (10 - 2y)/2


x = 5 - y


Place the variable in the front


x = -y + 5


x = -y + 5 is your answer


hope this helps

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How do you Use Trigonometry to find length
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Right Triangles and the Pythagorean Theorem

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2 years ago
Help with this math question
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Read 2 more answers
Find the standard equation of the parabola that satisfies the given conditions. Also, find the length of the latus rectum of eac
lakkis [162]

Answer:

The standard parabola

                                y² = -18 x +27

Length of Latus rectum = 4 a = 18

                         

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given focus : (-3 ,0) ,directrix  : x=6

Let P(x₁ , y₁) be the point on parabola

PM perpendicular to the the directrix L

                          SP² = PM²

                (x₁ +3)²+(y₁-0)²  = (\frac{x_{1}-6 }{\sqrt{1} } )^{2}

              x₁²+6 x₁ +9 + y₁² = x₁²-12 x₁ +36

                          y₁² = -18 x₁ +36 -9

                           y₁² = -18 x₁ +27

The standard parabola

                                y² = -18 x +27

    Length of Latus rectum = 4 a = 4 (18/4) = 18

                         

5 0
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