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
ElenaW [278]
3 years ago
12

Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,

a=26 D. m∠A=43, m∠B=55, a=20

Mathematics
1 answer:
alexgriva [62]3 years ago
8 0

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

\frac{sin(B)}{b} = \frac{sin(C)}{c}

\frac{sin(B)}{24} = \frac{sin(82)}{29}

sin(B)*29 = sin(82)*24

\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}

sin(B) = \frac{sin(82)*24}{29}

sin(B) = 0.8195

B = sin^{-1}(0.8195)

B = 55.0

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

\frac{a}{sin(A)} = \frac{b}{sin(B)}

\frac{a}{sin(43)43} = \frac{24}{sin(55)}

Cross multiply

a*sin(55) = 25*sin(43)

a = \frac{25*sin(43)}{sin(53)}

a = 20 (approximated)

You might be interested in
If lines and and cd are parallel,which if the following statements are true?
faltersainse [42]

Answer:

A

Step-by-step explanation:

AB ll CD

what grade r u in btw ?

7 0
2 years ago
The least common multiple of 20, 24, and 45 is _____.<br> a) 30<br> b) 180<br> c) 360<br> d) 21,600
MaRussiya [10]
C) 360 
because they can all be multiplied to get 360
20 times 18      24 times 15        45 times 8
8 0
3 years ago
Read 2 more answers
Plz help me thank ...
puteri [66]
Answer

396 miles and $28.71
8 0
3 years ago
Read 2 more answers
6 1/4 ÷ 4<br><br> (6th grade math)
Yuri [45]

Answer: 1.5625

Step-by-step explanation: just a calculator

5 0
2 years ago
mr. bird leaves for a walk at 7:50 a.m. she allows 25 minutes later what time does she arrive to work​
Tatiana [17]

Answer: 8:15

Step-by-step explanation:

If she leaves at 7:50 and arrives to work 25 minutes later, then she will get there at 8:15.

Something easy you could use:

7:50 25

+ 10 -10

____ ___

8:00 15

+ 15 -15

____ ____

8:15 0

5 0
3 years ago
Other questions:
  • What are more 1/3 miles or 1762 feets
    5·1 answer
  • Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for
    10·1 answer
  • Round 4,398,202 to the nearest 100
    8·2 answers
  • Sheldon also picks tomatoes from his garden. He picked 4 4/10 but 1.5 were rotten and had to be thrown away. How many kilograms
    7·1 answer
  • plz help 12 points !!! it's l due in a hourPIL Assessment 0 Stephan has a piece of wood that measures 18 inches long and 12 inch
    9·1 answer
  • How to factor <br> 49y^{2}-9x^{2}
    14·1 answer
  • Hey cutie i need help :(
    5·1 answer
  • Jake Visits his relatives on Thanksgiving. He first travels to his parents'
    10·2 answers
  • Simplify the expressions 4y+2x-y+8​
    15·2 answers
  • Is this right?<br>Look at this graph.<br>What is the equation of the line in slope-intercept form?​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!