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
victus00 [196]
2 years ago
9

Calculate the unknown sides and angles of the triangle ABC given.

Mathematics
1 answer:
creativ13 [48]2 years ago
4 0
<h3>Answer:</h3><h3>See below</h3>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • law of sine
  • law of cosine
  • PEMDAS
<h3>let's solve:</h3>

there are 3 ways to solve SAS triangle

  • use The Law of Cosines to calculate the unknown side,
  • then use The Law of Sines to find the smaller of the other two angles
  • and then use the three angles add to 180° to find the last angle.

first figure out \angle C

to do so we will use the formula of law of cosine of C angle

{c}^{2}  =  {a}^{2}  +  {b}^{2}  - 2ab.\cos(C)

substitute the given values of a,b and \angle C

\sf{c}^{2}  =  {6 }^{2}  +  {3.5}^{2}  - 2.6.(3.5). \cos( {25.7}^{ \circ} )

simplify squares:

c^{2}=36+12.25-42.\cos(25.7^{\circ})

simplify addition:

c^{2}=48.25-42.\cos(25.7^{\circ})

square root both sides

\sf \:  \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}

simplify:

therefore

\bold{c=3.23}

use law of sine to figure out angle A

\dfrac{6}{\sin( \angle \: A) }  =  \dfrac{3.23}{\sin(25.7)}

therefore

\bold{\angle A=53.66°}(use calculater to simplify it)

therefore

\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}

\bold{= 100.64}

You might be interested in
I NEED HELP NOOOOOWWWWWWWW!!!
Murljashka [212]

Answer:

116

Step-by-step explanation:

7 0
3 years ago
Is the function even,odd or neither and how do you know?<br><br> ASAP
wlad13 [49]

Answer:

Odd

Step-by-step explanation:

6 0
2 years ago
Why 10^33/2=5*10^32? Explain, pls. :(
german

Answer:

see below

Step-by-step explanation:

10^33/2

Rewriting the numerator as 10 * 10 ^ 32

10 * 10 ^32

--------------------

2

10/2 = 5

5 * 10 ^32

Therefore

10^33/2=5*10^32

4 0
2 years ago
Can you please help me with this reverse percentage?
ratelena [41]

Answer:

39785

Step-by-step explanation:

or,40596×2÷100=811

or,40596-811=39785

7 0
2 years ago
1.3 Find the next number in the sequence: -16; -9; -2: _ a. 12 6.7 C. 5 d.-5 1.4 3 = b.1 6.6 d. 27​
iogann1982 [59]

Answer:

given sequence, -16; -9; -2: _

first term(a)=-16

common difference(d)=-9-(-16)=7

next term is 4

so

4th term=a+(n-1)d

=-16+(4-1)7=-16+21=5

<u>c.5</u>

7 0
3 years ago
Read 2 more answers
Other questions:
  • Eduardo has 45 yards of rupe light.
    6·1 answer
  • Complete the ratio 6:30 = 1:? What goes where the question mark is?
    7·2 answers
  • joshia is taking his friends to the movies each ticket cost $10 and popcorn is $5 a bag there is a $3 service fee for the entire
    9·2 answers
  • 71pt =___gal ___qt ___pt
    7·2 answers
  • Once Isabel rented the warehouse space, she decided to post ads on several social media sites to advertise her online bookstore.
    7·1 answer
  • PLEASE NEED HELP FAST!! (10 points)
    7·1 answer
  • A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5
    8·1 answer
  • The table of a linear function is partially completed below. What is the missing y-value to complete the table?
    6·2 answers
  • Write the equation of the line given the two points. (4,-3) and (3,1)
    13·2 answers
  • What is the cost to rent each chair and each table?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!