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
Nina [5.8K]
3 years ago
12

given that A=43 degrees , B=82 degrees and c=28, solve triangle ABC. Round to the nearest hundredth. A) C= 93 degrees , b= 33.8

, a= 23.3 B) C= 55 degrees , b= 33.8 , a= 23.3 C) C= 55 degrees , b= 23.3 , a= 33.8 D) C= 93 degrees , b= 23.3 , a= 33.8
Mathematics
1 answer:
n200080 [17]3 years ago
8 0
A=43°
B=82°
c=28

1) A+B+C=180°
Replacing A=43° and B=82° in the equation above:
43°+82°+C=180°
125°+C=180°
Solving for C. Subtracting 125° both sides of the equation:
125°+C-125°=180°-125°
C=55° (option B or C)

2) Law of sines
a/sin A=b/sin B=c/sin C
Replacing A=43°, B=82°, C=55°, and c=28 in the equation above:
a/sin 43°=b/sin 82°=28/sin 55°

2.1) a/sin 43°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 43°:
sin 43°(a/sin 43°)=sin 43°(28/sin 55°)
a=28 sin 43° / sin 55°
Using the calculator: sin 43°=0.681998360, sin 55°=0.819152044
a=28(0.681998360)/0.819152044
a=23.31185549
Rounded to one decimal place
a=23.3

 2.2) b/sin 82°=28/sin 55°
Solving for a. Multiplying both sides of the equation by sin 82°:
sin 82°(b/sin 82°)=sin 82°(28/sin 55°)
b=28 sin 82° / sin 55°
Using the calculator: sin 82°=0.990268069, sin 55°=0.819152044
b=28(0.990268069)/0.819152044
b=33.84903466
Rounded to one decimal place
b=33.8

Answer: Option B) C=55°, b=33.8, a=23.3
You might be interested in
If f(x)=3x-6 then find f(4)
masya89 [10]

Answer:

f(4) = 6

Step-by-step explanation:

f(x) = 3x - 6

f(4) = 3(4) - 6

f(4) = 12 - 6

f(4) = 6

8 0
3 years ago
Please help me! Struggling with Geometry! 45 points (proofs)
Damm [24]

Answer:

Step-by-step explanation:

It’s nothing

3 0
3 years ago
CREATE Write an equation that you would use the Addition Property of Equality to solve.
lidiya [134]
1+1=2 that’s my guess
4 0
3 years ago
4 times 12345678901245689
jeka94

Answer:

The answer is 4.93827156*10^16 or 49,382,715,600,000,000

Step-by-step explanation:

5 0
3 years ago
A card is in the shape of a rectangle. The length of the card is 7 cm
bogdanovich [222]

lol ok so

7*something or you can make it into a variable x=35

7*x=35

/7     /7

x=5.

3 0
3 years ago
Other questions:
  • Are the following angle relationships possible? Explain.
    11·1 answer
  • Calculate the area of the circle round your answer to the nearest hundreds <br>​
    13·1 answer
  • Sum of three-quarters and doubled the cube of k is equal to 1
    10·1 answer
  • Is this right?? if not help please!!
    14·1 answer
  • What does the expression ∙ represent?
    9·2 answers
  • 2(x+3)=x-4 solving equations
    7·2 answers
  • PLZZZ HELP!! Which expressions are equivalent to -6+4q+(-6q) Choose all answers that apply:
    7·2 answers
  • What is the answer for -3(4x-2)&lt;18
    9·2 answers
  • What is the y intercept <br> The graph <br> X Y<br> -2 3<br> -1 5<br> 0 7<br> 1 9<br> 2 11
    6·1 answer
  • Which of the following is a form of the law of cosines?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!