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
deff fn [24]
3 years ago
8

How many solutions does a triangle with side lengths a = 4, A = 112º and b =9 have?​

Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086

As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).

Therefore, there is no angle we can find to build a triangle with the given data.

You might be interested in
lemon looked at 26 Web sites in 39 minutes. at that rate, how many Web sites would she look at in 12 minutes?
nignag [31]

8 websites in 12 minutes


Hope this helped :)

6 0
3 years ago
Read 2 more answers
6. a + 6 &lt; -2; a = -8<br> I<br> 0. yes<br> P. no
laiz [17]

Answer:

yes

Step-by-step explanation:

4 0
3 years ago
Find the midpoint of the segment with the given endpoint M(-2,1) and N (-3,2)
Aleks04 [339]
(-2,1)
(-2.5,1.5)
(-3,2)
3 0
3 years ago
The prism's base area is 8 square units and its height is 16 units. What is the volume of the pyramid?
bija089 [108]

Answer:

Step-by-step explanation:

Its about 42.67

4 0
3 years ago
What can you say about the quotient, when you divide 23 by something equal to 1?
Gwar [14]

Answer: the quotient will be equal to 23

The equation to calculate what divided by 23 equals 1 is as follows:

X/23 = 1

Where X is the answer. When we solve the equation by multiplying each side by 23, you get get:

X = 23

Therefore, the answer to what divided by 23 equals 1 is 23

so the quotient will be equal to 23

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Sebastian's pool is filled with 270 cubic meters of water. The base of the pool is 15 m long and 9 m wide. What is the height of
    6·1 answer
  • (Asap please!!! help!!)
    13·2 answers
  • Draw a rectangular prism with a square base such that the pyramid’s vertex lies on a line perpendicular to the base of the prism
    5·1 answer
  • Write from be expressions that are equivalent to 8x + 16.
    11·1 answer
  • Evaluate ab/c if a=5, b=6 and c=3
    14·2 answers
  • How many groups of 3/4 are in 6 and 1/2
    5·1 answer
  • Find the value of x.<br> 24<br> 10
    5·2 answers
  • The sum of Jane's age and Shell's ages is 37. Jane is 5 years older than Shell. How old is Jane? Ok
    7·1 answer
  • Helppppppppppppppppppppppp
    15·1 answer
  • What is the total amount, in cups, of four required for each cup of chocplate using this cake recipe?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!