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
olga2289 [7]
3 years ago
6

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 12, b = 14

Mathematics
1 answer:
Eva8 [605]3 years ago
3 0
We know that
case 1)
Applying the law of sines
a/Sin A=b/Sin B
A=56°
a=12
b=14
so
a*Sin B=b*Sin A----> Sin B=b*Sin A/a---> Sin B=14*Sin 56°/12
Sin B=0.9672
B=arc sin (0.9672)------> B=75.29°-----> B=75.3°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+75.3)----> C=48.7°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 48.7°/Sin 56°)
c=10.87-----> c=10.9

the answer Part 1)
the dimensions of the triangle N 1
are
a=12  A=56°
b=14  B=75.3°
c=10.9  C=48.7°

case 2) 
A=56°
a=12
b=14
B=180-75.3----> B=104.7°

find angle C
A+B+C=180°-----> C=180-(A+B)----> C=180-(56+104.7)----> C=19.3°

find c
a/Sin A=c/Sin C----> c=a*Sin C/Sin A----> c=12*Sin 19.3°/Sin 56°)
c=4.78-----> c=4.8

the answer Part 2)
the dimensions of the triangle N 2
are
a=12  A=56°
b=14  B=104.7°
c=4.8    C=19.3°
You might be interested in
You need to purchase supplies for the trip. You have $1000 to spend.
SCORPION-xisa [38]

Answer:

241.50

Step-by-step explanation:

Oxen= 40 x 2 = 80

Food=0.20 x 500 =100

Clothing = 10 x 5 = 50

total = 230

Tax= 5 percent x 230 divided by 100

= $11.50

230 +11.50

= 241.50

6 0
2 years ago
Between which two numbers is Negative 1.5 located on a number line?
Ede4ka [16]
Between -2&-1 is the answer
5 0
3 years ago
Read 2 more answers
Parallelogram JKLM is shown on the coordinate plane below:
LiRa [457]

The answer is J'(6, -2) M'(5,1)

4 0
3 years ago
Read 2 more answers
3<br> Solve for x.<br> 9(x + 1) = 25 + x<br> Ο x=2<br> x=3<br> 0 x=4<br> 0 0 0 0<br> Ο<br> 0 x=5
muminat

Answer:

x= 2

Step-by-step explanation:

so expand the left side of the equation

9x+9= 25+x

and then group like terms( subtract 9 from both sides and also do same with x.

9x-x= 25-9

8x= 16

divide by 8 on both sides.

x=2

7 0
1 year ago
Please I needa answer !!
Alecsey [184]

Answer:

the answer is B and C

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Johns car gets 37.6 miles per gallon of gas in the city and 42.3 miles per gallon on the highway. which statement is true?
    5·1 answer
  • A railway tunnel 147m long is to be bored with a circular cross section of radius 5m.what volume of soil has to be excavated?
    5·1 answer
  • Please help with this as soon as possible​
    9·2 answers
  • Phil gets a commission of 25% on all sales. he sold $1500.00 worth of goods. what was the amount of his paychec
    11·1 answer
  • New topic <br> please answer im begging u
    15·1 answer
  • Factor the expression using the GCF. 6x + 42
    11·1 answer
  • Can someone please help me as soon as possible​
    11·1 answer
  • Interval Notation <br> Inequality Notation <br> Pls help
    11·1 answer
  • Can someone please answer the question in the photo attached below for me :) i would really appreciate it and i will also mark b
    5·2 answers
  • Will give brainliest!<br> Is y = -4x - 5 a linear equation?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!