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
Afina-wow [57]
3 years ago
9

A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle

?

Mathematics
1 answer:
aleksley [76]3 years ago
4 0

Answer: A. 31.5

Step-by-step explanation:

Using law of cosine because it is side angle side

a=16

b=21

angle = 116

c^2=a^2+b^2-2ab cosC, let C be the angle given

c^2=(21)^2+(16)^2-2(16)(21) cos(116)

c^2=441+256-672 cos(116)

i used a ti-89 and answered the right side and got

(you can find a ti-89 simulator online, but for problems like this make sure it is in degree mode)

991.585

c^2=991.585

take square root of both sides

=31.4894, which if you round it up it would be 31.5, so the answer would be A

therefore:

a=16

b=21

c=31.5

You might be interested in
Mr. Garcia notes that in 84% of the papers his former students have turned in, they cited their sources incorrectly. He plans to
Amanda [17]

Answer:

.022

Step-by-step explanation:

Answer on Khan

6 0
3 years ago
Solve the equation<br> -5.1 + 8 = -7
photoshop1234 [79]

Answer: 2.9 ≠ −7 (False)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Need help!!! Plzzz Help mee
andrew-mc [135]
Okay what you need I’ll help you with whatever
8 0
3 years ago
Which expression is equivalent to 27 +4 •16
Pavel [41]

Answer:

27+64

Step-by-step explanation:

lmk if you need an explanation

6 0
3 years ago
If you add +6 +(-2), how many units will be between +6 and the sum ? Will the sum Be to the right or the left of +6 ? How do you
nikdorinn [45]
Draw a number line number it with negative number on the left and postive numbers at the right start at postive 6 now go to the left twice your answer should be 4
5 0
3 years ago
Other questions:
  • In the playoffs, the Algenauts won their division playoff series 3 games to 1 and then beat their arch-rivals the Geometers in t
    8·1 answer
  • Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12? Check all that apply. The terms 4x3 and 8x have a common fac
    16·2 answers
  • Look at the picture help please
    12·1 answer
  • URGENTEE. NON SO RISOLVERE QUESTO PROBLEMA.
    10·1 answer
  • The sum of two integers is 54 and their difference is 10. find the integers.
    15·1 answer
  • How can I solve this <br><br>21,325-9,486
    6·2 answers
  • Mark bought a new video game priced at 49.99. A sales tax of 8% was added to his purchase. How much tax did Mark pay?
    12·1 answer
  • (8-3) x 3 x 3 + (5+15):4
    9·1 answer
  • Hell kk p pls i need it asap
    8·1 answer
  • Please help me I will give brainlist
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!