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
andre [41]
2 years ago
7

Determine the measure of the angle theta to the nearest degree

Mathematics
1 answer:
aleksklad [387]2 years ago
4 0

Answer: B. θ = 36°

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of the Law of sines.

In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle (any shape) to the sines of its angles.

The Law of sines: a / sinA = b / sinB = c / sinC

If you are still confused, please refer to the attachment below for a graphical explanation.

<u>Solve:</u>

a = 10 m

c = 11.2 m

C = 41°

<em>Given formula</em>

a / sinA = c / sinC

<em>Substitute the value into the formula</em>

10 / sinA = 11.1 / sin (41)

<em>Cross-multiply to simplify the equation</em>

sinA × 11.1 = 10 · sin (41)

<em>Divide 11.1 on both sides</em>

sinA × 11.1 / 11.1 = 10 · sin (41) / 11.1

sinA = 10 · sin (41) / 11.1

<em>Apply arcsine or the inverse of sine (basically representing the division of sine)</em>

A = sin⁻¹ (10 · sin (41) / 11.1)

A = 36°

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in
When e = 4, f = 2, and g = 8. If e varies jointly with f and g, what is the constant of variation?
jarptica [38.1K]
E\alpha fg
e=mfg
Where m is a constant of proportionality;
e=4, f=2 and g=8
Then;
4=m*2*8
4=16m
m=0.25
8 0
3 years ago
You arrive at a bus stop at 1:00, knowing that the bus will arrive at some time uniformly distributed between 1:00 and 1:30. a)
Likurg_2 [28]

Answer:

2/3

Step-by-step explanation:

You arrived at 1:00 and longer than 10 minutes would be at 1:20 and 1:30

that is 2 chances of you waiting longer than 10 minute

7 0
3 years ago
3mn = ?<br><br> m to the power of 2 + 3n = ?
Varvara68 [4.7K]

Answer:

42069

Step-by-step explanation:

3 0
3 years ago
What are some roots to the quadratic function f(x) = x^2 - 144?
Paladinen [302]
X²=144
x=√144
x=12 or x=-12
7 0
3 years ago
Please help me with this math problem.
alexdok [17]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for x. <br><br> 6x + 2 = 14
    8·1 answer
  • Evaluate the expression -k+h+kh if k=-5 and h= -2 don't forget order of operations PEMDAS
    5·2 answers
  • If the life of a brake lining costing $3.20 is 40,000 miles what is its cost per 1,000 miles
    10·1 answer
  • What are the angle measurements of 6x + 1° = 3x + 11°
    8·1 answer
  • -5x+7+2x-13&lt;9 Please Explain
    15·1 answer
  • Please help!! I need to know this by today
    15·1 answer
  • What is the length of line segment BC?<br><br> 8 units<br> 14 units<br> 22 units<br> 36 units
    11·2 answers
  • Ab - 0.5b when a = 1 and b = 5
    15·2 answers
  • Answer plz it a maath question
    14·2 answers
  • Find slope of both lines and determine if parallel, perpendicular or neither
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!