1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DaniilM [7]
2 years ago
5

State whether the given measurements determine zero, one, or two triangles. b=86, b=21, c=18

Mathematics
1 answer:
hammer [34]2 years ago
8 0

Answer: 1

Step-by-step explanation:

I assume you meant to type B=86^{\circ}, b=21, c=18.

By the Law of Sines,

\frac{\sin C}{c}=\frac{\sin B}{b} \\ \\ \frac{\sin C}{18}=\frac{\sin 86^{\circ}}{21} \\ \\ \sin C=\frac{18 \sin 86^{\circ}}{21} \\ \\ C=\sin^{-1} \left(\frac{18 \sin 86^{\circ}}{21} \right), 180^{\circ}-\sin^{-1} \left(\frac{18 \sin 86^{\circ}}{21} \right) \\ \\ C \approx 58.77^{\circ}, 121.23^{\circ}

Since only one of these values will make a triangle (the obtuse possibility for C will mean B+C > 180^{\circ}, which violates the condition that the angles of a triangle add to 180 degrees), 1 triangle can be formed.

You might be interested in
Write and solve a problem involving money that can be solved with a multiplication equation
alexandr1967 [171]

Answer:


Step-by-step explanation:


4 0
3 years ago
When given the two points (2,-3) and (2,-4) how do you write an equation in standard form
Nadusha1986 [10]

Answer:

2,-4

-2,-3

_____

1

Step-by-step explanation:

That is how write the equation because you have to line them up by the higher x or y value

7 0
3 years ago
Help me please!! As soon as you can!!
Mrrafil [7]
The answer: X plus X+4
3 0
3 years ago
Triangle EFG is dilated by a scale factor of 3 centered at (0, 1) to create triangle E'F'G'. Which statement is true about the d
lesya [120]

Answer:

segment EH and segment E prime H prime both pass through the center of dilation.  

Step-by-step explanation:

Center of dilation is point (0.1), same as H. Both, E(0,5) and H(0,1) are placed over y-axis, then E' and H' are also located at y-axis.

After dilation, H' is placed at (0,1) because it coincides with the center of dilation

Distance between E and center of dilation is 4 units, then E' should be at 4*3=12 units from the center of dilation and over y-axis. Therefore, E' is placed at (0, 13)

So, segment E'H' goes from (0,1) to (0,13), and pass through the center of dilation, like segment EH.

4 0
3 years ago
Approximate the distance between (2,4) and (7,2) to the nearest tenth.
mojhsa [17]

Answer:

5,2

Step-by-step explanation:

this is the distance of these points

4 0
2 years ago
Other questions:
  • A person walks 1/3 mile in 1/9 hour. At what speed is the person walking in miles per hour?
    7·1 answer
  • ????????????????HELP
    15·1 answer
  • Number 8 please .......
    8·1 answer
  • Which ordered pair is a solution of the equation y-3=5(x-2)
    9·1 answer
  • let d equal the distance in meters and t equal the time in seconds. Which is a direct variation equation for this relationship
    5·1 answer
  • What is an expressions that are equivalent to 7(3c).
    13·1 answer
  • Which input value produces the same output value for the two functions on the graph?
    9·2 answers
  • Marisa has $40 in her savings account and plans to save $x each month for 5 months. The expression $5x + $40 represents the tota
    10·1 answer
  • Can y’all help me on question 34?!
    15·1 answer
  • Write the name for the decimal value of point M on the number line.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!