caerb
caerb caerb
  • 23-07-2019
  • Mathematics
contestada

In triangle ABC, a = 4, b = 7, and c = 10. Find A.
18°
34°
56°
162°

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 28-07-2019

Answer:

  18°

Step-by-step explanation:

The law of cosines tells you ...

  a² = b² + c² -2bc·cos(A)

Solve for cos(A) and fill in the numbers. Note that the value of cos(A) is very close to 1, so the angle will be fairly small. This by itself can steer you to the correct answer.

  cos(A) = (b² +c² -a²)/(2bc) = (49 +100 -16)/(2·7·10) = 133/140

  A = arccos(133/140) ≈ 18.2° ≈ 18°

Answer Link

Otras preguntas

"She made a fuss" explain it?
Which of the following is not 1 of the 7 big ideas espoused in the Declaration of Independence?
Translate each equation into slop intercept form. (Isolate the Y) 7y + 14 = 2x 10 = -2y + 2x y/2 = x - 3 y = 4x + 1 2x + y = 6 3y = 2x - 3 I'm having trouble wi
Which is another way to write this expression? 15 • (8 – y) A. 15 • 8 • y B. (15 • 8) – (15 • y) C. (15 • 8) – y D. 15 – 8 – 15 – y
What is the molar mass of caso4?
In which of the following cities would people have found the center of the Byzantine government in Italy 
Why does a paper clip sink and a big ocean liner float? explain your answer.
Evaluation apprehension is related to social facilitation in the same way that _______ is related to the ringlemann effect.
what is 2x - 3y X 2x - 3y
The components used together to create a fictional work are called.