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
Stolb23 [73]
3 years ago
11

There are two possible triangles with the measures given for triangle ABC. b = 20.2, c = 18.3, C = 38°

Mathematics
2 answers:
inna [77]3 years ago
7 0
Ok 
First use the sine rule to find one value

b / sin B = c / sin C
20.2 / sin B  =  18.3 / sin 38

sinB =  20.2 * sin 38  / 18.3   =  0.6796
m < B = 42.8 degrees

the other possible measure is 180 - 42.8 =  137.2 degrees
Daniel [21]3 years ago
6 0

Answer:

Two possible triangle:

  • a=29.3, b=20.2, c=18.3, A=99^{\circ}, B=43^{\circ}\text{ and } C=38^{\circ}
  • a=2.3, b=20.2, c=18.3, A=5^{\circ}, B=137^{\circ}\text{ and } C=38^{\circ}

Step-by-step explanation:

We are given some info about triangle ABC.

b=20.2, c=18.3, C=38°

Using sine law we can find another part of triangles.

\text{Sine law: } \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

\dfrac{b}{\sin B}=\dfrac{c}{\sin C}

Substitute b=20.2, c=18.3, C=38° into above formula and solve for B

\dfrac{20.2}{\sin B}=\dfrac{18.3}{\sin 38^{\circ}}

\sin B=\dfrac{20.2\times \sin 38^{\cic}}{18.3}

\sin B=0.6796

Two possible value of B

Case 1:

B=42.8^{\circ}\approx 43^{\circ}

A+B+C=180^{\circ}            (Angle sum property of triangle)

A=180^{\circ}-38^{\circ}-43^{\circ}=99^{\circ}  

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}

a=\dfrac{20.2\times \sin99^{\circ}}{\sin 43^{\circ}}\Rightarrow 29.3

Case 2:

B=137^{\circ}

A+B+C=180^{\circ}            (Angle sum property of triangle)

A=180^{\circ}-38^{\circ}-137^{\circ}=5^{\circ}  

\dfrac{a}{\sin A}=\dfrac{b}{\sin B}

a=\dfrac{20.2\times \sin5^{\circ}}{\sin 137^{\circ}}\Rightarrow 2.3

Two possible triangle:

  • a=29.3, b=20.2, c=18.3, A=99^{\circ}, B=43^{\circ}\text{ and } C=38^{\circ}
  • a=2.3, b=20.2, c=18.3, A=5^{\circ}, B=137^{\circ}\text{ and } C=38^{\circ}

Thus, Two possible triangles.

You might be interested in
I WILL MARK BRAINLIEST A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to buil
Alona [7]

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: number of child bikes.
  • Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
1 year ago
The owner expects you to hand wash each coffee pot before the coffee shop opens. It takes 10 minutes for all of the coffee pots
ankoles [38]
Pretty sure it is 16
7 0
3 years ago
Read 2 more answers
Which phrase best describes the translation from the group y=2x^2 to the graph of y= 2x^2 +5
dsp73

Answer:

The graph move up 5.

Step-by-step explanation:

When we add a constant to the end of a parabola, it shifts the graph up and down. Since the constant here is positive, the graph moves up by that number (5)

7 0
2 years ago
During gym class, Alexis played dodgeball for 34 hour.
IRISSAK [1]

the soultion in 20

Step-by-step explanation:

first get the 34 hour of dogeball and get the 14 hour of basketball subtract 34 - 14 first 4 - 4 = 0 then 30 - 10 = 20

6 0
2 years ago
Read 2 more answers
Iterations question two need help please :)
Contact [7]

Answer:

option b

1 , 16, 121 , 13456

Step-by-step explanation:

Given in the question a function, f(x) = (x - 5)²

initial value x_{0} = 4

First iteration

f(x0) = f(4) = (4 - 5)² = (-1)² = 1

x1 = 1

Second iteration

f(x1) = f(1) = (1 - 5)² = (-4)² = 16

x2 = 16

Third iteration

f(x2) = f(16) = ( 16 - 5)² = (11)² = 121

x3 = 121

Fourth iteration

f(x3) = f(121) = (121 - 5)² = (116)² = 13456

x4 = 13456

 

8 0
3 years ago
Other questions:
  • P = $1000, t = 2 years, r = 0.08. A = 1000(1+0.08(2)) = 1000(1.16) = 1160
    13·1 answer
  • When 80​% of a number is added to the​ number, the result is 216.
    13·2 answers
  • The fallout V from a volcanic explosion (measured in kilograms per square kilometer) depends on the distance d from the volcano
    10·1 answer
  • Will give brainliest! please awnser!
    11·2 answers
  • 50 POINTS! QUICKLY Are the pairs of variables x and y the solutions to the equation x^2–2y=7?
    7·2 answers
  • What is the measure of the unknown angle?
    9·2 answers
  • 45. ART The area of a square painting is 3600 square inches. Find the side
    13·1 answer
  • What times 1/11 equals 1?
    15·1 answer
  • Do you remember how to graph rational numbers on a number line? Review with a Quick Check.
    7·2 answers
  • Answer Questions and show all of your work.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!