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
What have I done wrong and where please help me
lys-0071 [83]
12x - 18 - 4x -2
12x - 4x = 8x (yours 12x - 4x = 8)
-18 - 2 = -20 (yours -18 -1 = 17)

answer:

8x - 20
6 0
3 years ago
Can someone help me out, please?
GenaCL600 [577]
Rectangle, triangle, and I believe square
3 0
3 years ago
A scooter can travel 72 mi per gallon of gasoline and holds 2.3 gal. the function d(x)-72x represents the distance d(x), in mile
Natasha2012 [34]
The scooter can go 165.6 miles
7 0
3 years ago
What is the vlaue of (2/7)³ ?
vekshin1

Answer:

0

Step-by-step explanation:

5 0
3 years ago
SOLVE FOR X PLEASEE HELP​
Ivenika [448]
To solve this, you will have to set up your equation as fractions:

X is to 4 as 4 is to 4+3, or 7

X/4 = 4/7

You will then cross multiply

7x = 4•4
7x = 16

Divide.

X = 2.285714...

Round to the nearest hundredth.

2.29
3 0
3 years ago
Other questions:
  • All of the following are equivalent, except.<br> A. 8X + 3X<br> B.(8+3)X<br> C.11X<br> D.11X squared
    6·1 answer
  • Which of these is not an economic activity?
    11·2 answers
  • You have a 1.5 litre bottle of water and drink 295 millilitres. Your friend drinks 135 millilitres.
    12·2 answers
  • Which of these side lengths makes the triangle obtuse?<br> 15, 36,
    6·1 answer
  • What is the sum of the fractions? 3/5+-7/5 Use the number line to help find the answer
    8·2 answers
  • I am the fewest number of coins needed to
    13·2 answers
  • Melanie answered 18 of
    15·2 answers
  • PLEASEEEEEE HELPPPPP ASAPPPPP
    6·2 answers
  • Pls help, I'll make the brainliest person the first to answer pls
    14·2 answers
  • A 4 inch by 6 inch picture is placed in a frame that creates a uniform border of x inches around the picture. The area of the en
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!