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
Crank
3 years ago
7

Find all solutions for a triangle with C=17deg, a=10, c=11. Round to the nearest tenth

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
5 0

Answer: Angle A = 15.42°, angle B = 147.58°, and side b = 20.17 units.

Step-by-step explanation: Please refer to the attached diagram for details.

A triangle with angles ABC has been sketched from the information given, and we have the missing dimensions as, angles A and B and side b. Since we have an angle with a corresponding side, and another side has been given, we shall apply the Sine Rule which states that;

a/SinA = b/SinB = c/SinC

We can start with the known values as follows

a/SinA = c/SinC

10/SinA = 11/Sin 17

By cross multiplication we now have

(10 x Sin 17)/11 = SinA

(10 x 0.2924)/11 = SinA

2.924/11 = SinA

0.2658 = SinA

By use of calculator or a table of values,

A = 15.42°

Having calculated angle A as 15.42 and having known angle C as 17, angle B can be derived as,

A + B + C = 180° {Sum of angles in a triangle equals 180}

15.42 + B + 17 = 180

32.42 + B = 180

Subtract 32.42 from both sides of the equation

B = 147.58°

And now to calculate the missing side c, we still apply the Sine Rule

b/SinB = c/SinC

b = (c x SinB)/SinC

b = (11 x 0.5361)/0.2924

b = 5.8971/0.2924

b = 20.168

Approximately, b = 20.17

Therefore, the missing angles and side is calculated as

Angle A = 15.42°, angle B = 147.58° and length of side b = 20.17 units

You might be interested in
Construct perpendiculars image below
Marysya12 [62]

Answer: draw a straight line trough point B, same thing with the second one,for the third you must draw a straight line from the angle across to the segment. (make sure all of the intersections are 90 degrees

5 0
3 years ago
Is this a function? Why or why not? *<br> 10 points<br> Captionless Image
GrogVix [38]

Answer:

Wheres the function, what do u mean by captionless image

3 0
3 years ago
How do I solve number 15?! Plz help!!!!!
Evgesh-ka [11]

first get all variables on the same side, then use elimination to solve.

x = -3

y = -11

3 0
3 years ago
Solve the compound inequality.<br><br> 9 – 4x ≥ 5 or 4(–1 + x) – 6 ≥ 2
Y_Kistochka [10]
X ≤ 1 and x ≥ 3
Hope this helps :)
5 0
3 years ago
What is the missing number?<br> 9/21 ?/105<br><br> A. 5<br> B. 45<br> C. 89<br> D. 93
4vir4ik [10]
B.


Hope this helps!!!
6 0
3 years ago
Read 2 more answers
Other questions:
  • Between the time lko woke up and lunchtime the temperature rose by 11 degree then by the time he went to bed the temperature dro
    11·2 answers
  • Please help me?????/!!!!!!!!
    10·1 answer
  • Find the value of X and y from the figure​
    7·2 answers
  • How many solutions does the system have?<br> y=-2x -4 <br> y=3x + 3
    11·1 answer
  • Fiona y sus amigas fueron a una tienda de batidos. Pidieron tres batidos de fresa y dos batidos de proteínas por un total de $ 2
    14·1 answer
  • EASY QUESTION FOR 10 POINTS<br>8(2y-7)=9(3y-14) +15​
    14·1 answer
  • A large university accepts 60% of the students who apply. Of the students the university accepts, 25% actually enroll. If 10,000
    7·1 answer
  • I NEED HELP ASAP PLEASE HELP ME!! NO LINKS OR I WILL REPORT
    14·1 answer
  • Work out the value of x.
    8·2 answers
  • 4. You read an article in your local newspaper about a discussion between the owner of a popular business and a group
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!