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
vovangra [49]
3 years ago
15

Please help! Find the value of X. Round to the nearest tenth. acellus

Mathematics
1 answer:
just olya [345]3 years ago
7 0

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

The law of sines tells you ...

  sin(x)/15 = sin(27°)/11

  sin(x) = (15/11)sin(27°) . . . . . multiply by 15

  x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

  x ≈ 38.2°

_____

<em>Additional comment</em>

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle  (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

You might be interested in
How do you convert fraction to a decimal?​
Romashka-Z-Leto [24]

\huge\text{Hey there!}

\large\text{Some people usually convert fractions into decimals by DIVIDING}\\\large\text{the TOP  number) by the DENOMINATOR (the BOTTOM number)}.

\large\text{Here is an EXAMPLE  of what I meant!}

\large\text{Fraction: }\mathsf{\dfrac{5}{6}}

\large\text{Equation: } \mathsf{5\div6}

\large\text{Answer: } \mathsf{0.833333}

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

7 0
3 years ago
Round 548,239 to the nearest million
Sunny_sXe [5.5K]

Answer:

548,239

17 ,14

31

i think thisthe answer

3 0
2 years ago
When 40% of a number is added to twice the number, the result is 88. What is the number?
Leni [432]
17.6 because you do the working out backwards :)
7 0
3 years ago
Read 2 more answers
Need help real quick!!!
ExtremeBDS [4]

Answer:

what help you needed. ??

5 0
3 years ago
Solve the equation for the red variable.​
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

B = 3V/h

Multiply by h on both sides

Bh = 3V

V = Bh/3

7 0
3 years ago
Other questions:
  • A ball is thrown vertically upward.After t seconds its height(in feet)is given by the function h(t)=84t=16t^2.What is the maximu
    11·1 answer
  • What are two numbers multiplied together to get 15 but add to be 12?
    8·1 answer
  • The Pew Research Center Internet Project, conducted on the 25th anniversary of the Internet, involved a survey of 857 Internet u
    5·1 answer
  • Y = 2x – 15<br> y = 5x<br> Can anyone tell me the steps how to solve this and the answer
    15·1 answer
  • Please help im very confused
    15·1 answer
  • Please help anyone and thank you
    9·1 answer
  • What is the domain and range of f(x)= |x-6|
    9·1 answer
  • Please help me with this.
    10·1 answer
  • Helppppp with alll the problems asap!! Show your work
    7·1 answer
  • how many such tests would it take for the probability of committing at least one type i error to be at least 0.7? (round your an
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!