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My name is Ann [436]
3 years ago
5

I really don’t get this please help??

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
4 0

Answer:

  82°

Step-by-step explanation:

You are given two sides and the angle opposite one of them. This is sufficient information to make use of the Law of Sines to solve the triangle.

The angle (C) opposite the 89 m side can be found from the proportion ...

  sin(C)/89 = sin(30°)/48 . . . . . law of sines applied to the given information

Multiplying by 89 and taking the inverse sine, we have ...

  C = arcsin(89/48·sin(30°)) ≈ 67.98°

Then the unknown marked angle (E) between the sides is found using the fact that the sum of angles of a triangle is 180°.

  30° + E + C = 180°

  E = 150° -C ≈ 82.02° . . . . . . subtract 30°+C from both sides, substitute for C

Rounded to the nearest degree, the angle Devora turned was 82°.

_____

We have chosen to use the letter C to represent the angle at the Cave entrance; and the letter E to represent the angle at the Empty treasure chest.

The value we chose for angle C is the acute angle in accordance with the problem statement. There is another solution to the triangle in which this angle is the obtuse angle 112.02° = 180° - 67.98°.

emmainna [20.7K]3 years ago
3 0

the question is confusing but the ? angle is 90 degrees don't know if that helps at all though sorry

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zubka84 [21]

Answer:

C.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Numbers that add to -0.5 and multiply to 1
Oliga [24]
Short Answer
There are two numbers
x1 = -0.25 + 0.9682i   <<<< answer 1
x2 = - 0.25 - 0.9582i   <<<< answer 2 
 
I take it there are two such numbers.
Let one number = x
Let one number = y

x + y = -0.5    
y = - 0.5 - x       (1)
xy = 1               (2)

Put equation 1 into equation 2
xy = 1
x(-0.5 - x) = 1
-0.5x - x^2 = 1               Subtract 1 from both sides.
-0.5x - x^2 - 1 = 0          Order these by powers
-x^2 - 0.5x -1 = 0           Multiply though by - 1
x^2 + 0.5x + 1 = 0         Use the quadratic formula to solve this.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 1
b = 0.5
c = 1


\text{x = }\dfrac{ -0.5 \pm \sqrt{0.5^{2} - 4*1*1 } }{2*1}

x = [-0.5 +/- sqrt(0.25 - 4)] / 2
x = [-0.5 +/- sqrt(-3.75)] / 2
x = [-0.25 +/- 0.9682i

x1 = -0.25 + 0.9682 i
x2 = -0.25 - 0.9682 i

These two are conjugates. They will add  as x1 + x2 = -0.25 - 0.25 = - 0.50.

The complex parts cancel out.  Getting them to multiply to 1 will be a little more difficult. I'll do that under the check.

Check
(-0.25 - 0.9682i)(-0.25 + 0.9682i)
Use FOIL
F:-0.25 * -0.25 = 0.0625
O: -0.25*0.9682i
I: +0.25*0.9682i
L: -0.9682i*0.9682i = - 0.9375 i^2 = 0.9375

Notice
The two middle terms (labled "O" and "I" ) cancel out. They are of opposite signs.

The final result is 0.9375 and 0.0625 add up to 1
 
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Step-by-step explanation:

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