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galben [10]
3 years ago
14

Given that a=43 ,b=82 , and c=28, solve triangle abc. round to the nearest tenth.

Mathematics
2 answers:
iragen [17]3 years ago
8 0

Answer:

C= 55°, b= 33.8 units length , a= 23.3 units length

Step-by-step explanation:

The question is incomplete. The complete data is: a=43°, b=82° and c=28 units length

We know that the addition of the angles of a triangle is 180°, then: c = 180° - 43° - 82° = 55°

From law of sines:

sin(a)/a = sin(c)/c

sin(a)*c/sin(c) = a

sin(43°)*28/sin(55) = a

a = 23.3  units length

sin(b)/b = sin(c)/c

sin(b)*c/sin(c) = b

sin(82°)*28/sin(55) = b

b = 33.8  units length

Virty [35]3 years ago
3 0

Answer:

NO triangle exists.

Step-by-step explanation:

Given that the sides of the triangle are  a=43 ,b=82 , and c=28

To solve for unknown angles of the triangle

PLease refresh the triangle rule of inequality that the sum of any two sides is always greater than the third side

Before solving the triangle, let us check whether this is true.

a+b >c

b+c>a

But a+c is not greater than b.

Hence there cannot be any real triangle with these sides given.

Answer is no triangle exists.

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<u>Answer:</u>

c=  -1/2

<u>Step-by-step explanation:</u>

Let's solve your equation step-by-step.

4 /3  = −6c − 5/ 3

Step 1: Simplify both sides of the equation.

4 /3  =−6c +  −5 /3

Step 2: Flip the equation.

−6c +  −5 /3  =  4/3

Step 3: Add 5/3 to both sides.

−6c +  −5 /3  +  5 /3  = 4/3  +  5 /3  −6c

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4 0
3 years ago
Read 2 more answers
A triangle has side lengths of 24 in., 32 in., and 40 in. Is the triangle acute, obtuse, or right? A) right. B) obtuse. C) acute
statuscvo [17]
The answer is:  [A]:  "right [triangle]" .
________________________________________________
Explanation:
________________________________________________
Given:  Side lengths:
________________________________________________
  " <span>24 in., 32 in., and 40 in " ;  
________________________________________________
Divide each side length by "8" ; 
</span><span>
24 in. / 8 = 3 in. ; 

32 in. / 8 = 4 in. ;  and
 
40 in. / 8 = 5 in. . 
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3 in . , 4, in,  5 in. ;  is a "right triangle" ; 

since:  3</span>² + 4² = 5² ;

→  9 + 16 = 25 ; 

according to the Pythagorean theorem:  " a² + b² = c² " .
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8 0
3 years ago
What is the center of a circle represented by the equation x92y62102
andreev551 [17]

The center of the circle is (-9, -6).

What is the center of the circle?

A circle's center is the point from which all of the distances to the other points on the circle are equal. The radius of the circle is the measurement at issue.

Here, we have

The equation of a circle is written as:

(x - h)² + (y - k)² = a²

Where (h, k) is the center and a is the radius of the circle.

Where (h, k) is the center and a is the radius of the circle.

(x + 9)² + (y + 6)² = 10² (Given)

From the equation, the center of the circle is (-9, -6)

The radius of the circle is 10.

In general form, the equation can be written as

x² + 18x + 81 + y² + 12y + 36 = 100

x² + y² + 18x + 12y + 17 = 0

Hence, the center of the circle is (-9, -6).

To learn more about the center of the circle from the given link

brainly.com/question/25938130

#SPJ4

8 0
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