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
soldier1979 [14.2K]
3 years ago
9

Solve the triangle. Round your answers to the nearest tenth.

Mathematics
1 answer:
Tresset [83]3 years ago
6 0

Answer:

<B = 47°

<C = 28°

b = AC = 28.0

Step-by-step explanation:

Given:

∆ABC

AB = c = 18

BC = a = 37

<A = 105°

Required:

Length of AC = b

measure of angle B and angle C

SOLUTION:

==>Use the sine rule, sin A/a = sinC/c to find the angle of C:

SinA = sin(105) = 0.9659

a = 37

sinC = ?

c = 18

0.9659/37 = sinC/18

Cross multiply

0.9659*18 = 37*sinC

17.3862 = 37*sinC

Divide both sides by 37

17.3862/37 = sinC

0.4699 = sinC

sinC = 0.4699

C = Sin-¹(0.4699)

C = 28.0° (nearest tenth)

==>Find angle B using sum of angles in a triangle:

Angle B = 180 - (105+28)

Angle B = 180 - 133

Angle B = 47°

==>Find length of b using sine rule, b/sinB = c/sinC:

SinC = sin(28) = 0.4695

SinB = sin(47) = 0.7314

c = 18

b = ?

b/0.7314 = 18/0.4695

Cross multiply

b*0.4695 = 18*0.7314

b*0.4695 = 13.1652

Divide both sides by 0.4695

b = 13.1652/0.4695

b = 28.0 (nearest tenth)

You might be interested in
Please help u don't get it #begging
Jobisdone [24]
33.C
34.C
Those are the answers
4 0
3 years ago
Which pair of expressions is equivalent?
dlinn [17]

Answer:

B

Step-by-step explanation:

sorry if i am wrong

6 0
3 years ago
A _______ is the numerical factor of a multipication expression like 4x
Sergio039 [100]
I think it is coefficient, hope this helps!
5 0
3 years ago
Help me pls i will make u a brainliest
omeli [17]

101.66 ÷ 4.42 = 23 square feet

8 0
3 years ago
What is the slope of (-6,12) (-5,14)
dimulka [17.4K]
M=2/1 so m=2 I believe
5 0
3 years ago
Other questions:
  • A computer scans every 2.75 days and another scans every 3.5 days
    14·1 answer
  • Tommy will spend start fraction, 1/5 of his time this weekend studying for his 4 final exams. What fraction of the weekend will
    15·2 answers
  • the following sequence is an arithmetic sequence.you are now shown very many terms of this sequence,but you are shown enough to
    9·1 answer
  • What fraction and whole number does the model represent
    13·1 answer
  • I need help with the question above
    5·1 answer
  • Rewrite 2sin2x + 3 cos x − 3 in terms of cos x
    15·1 answer
  • One spinner has 48 equal sections and 6 are blue. A second spinner has 72 equal sections and 9 are blue. What is the
    8·1 answer
  • Mrs. Jasper has some 8-ounce cups for serving punch. Her punch bowl holds 2 gallons of punch. Mrs. Jasper thinks she can serve f
    13·1 answer
  • 4. The first two numbers in a sequence are 3, 9.
    12·2 answers
  • .........................................................................................................
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!