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
Dahasolnce [82]
3 years ago
11

Find the solutions for a triangle with a = 16, c =12, and B = 63º.

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}

b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}

b \approx 15.022

Angle A (Law of Cosine)

\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}

\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}

\cos A = 0.315

A= \cos^{-1} 0.315

A \approx 71.639^{\circ}

Angle C (Sum of internal angles in triangles)

C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}

C = 45.361^{\circ}

Hence, the right answer is B.

You might be interested in
I have no idea how to do this someone help
vagabundo [1.1K]
Its absolute value so the negative on the inside would change to positive, so the answer would remain -7 and 3/5. same with the other one, except you multiply the 3 to the -1, making it -3
7 0
3 years ago
If p(x) = x2 – 1 and 4(x) = 5(x-1), which expression is equivalent to (p -9)(x)?
jenyasd209 [6]

Answer:

5 times 5 24

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
-2.3,-2 2/4,-2.6 from least to greatest
Pie
If you think about it, you have your answer in your question.

Convert 2/4 to 1/2 which in decimal form, is .5.

You’re final answer is -2.3,-2 2/4,-2.6.

I hope this helps!
7 0
2 years ago
What is the shaded area?
Pavlova-9 [17]

Answer:

Step-by-step explanation:

a . possible

b. ehhh

c. possible

d. possible

choose one

5 0
3 years ago
CAN SOMEONE PLEASE HELP ME???
AleksandrR [38]

Answer: The answer is 5.6d+ 2.1

Step-by-step explanation:

Add then subtract then add then multiply then subtract then divide.

5 0
2 years ago
Read 2 more answers
Other questions:
  • Which expression is equivalent to 2.25 + 2.25x + 1 - 0.75x + 2x
    6·1 answer
  • Please help quickly !
    6·1 answer
  • 100 POINTS! ANSWER QUICK!
    6·1 answer
  • What is 1+1? bout to get banned
    11·1 answer
  • Which of the following graphs is NOT a function?
    15·2 answers
  • Please help meeeeeeeee
    5·1 answer
  • Who could help me please and thank you
    10·1 answer
  • I need help with this asap!
    12·2 answers
  • The graph shows which equation?
    9·1 answer
  • What is next number in pattern 7, 11, 2, 18, -7
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!