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
WILL GIVE 5 STARS TO THE PERSON WHO HELPS WITH AN EXPLANATION!!! If the 32 ounce bottle is 20% more than the typical bottle, how
Aleks04 [339]
So if 32 oz is 20% more than the average bottle, you multiply 32 by .20 which gives you 6.4. This means that the 32 oz bottle is 6.4 oz more than the regular bottle. Furthermore, 32 - 6.4 = 25.6 so that's how big the typical bottle is.
3 0
2 years ago
Lacey runs a stable that boards a range of horses.
BartSMP [9]

Answer:

Step-by-step explanation:

8 out of 20 horses are brown

so

8/20

so

2/5

so

2/5 * 15 = 6

so

6 horses should be brown out of 15

6 0
2 years ago
What is the general equation of a cosine function with an amplitude of 3, a period of 4pi, and a horizontal shift of -pi?
HACTEHA [7]

Answer:

d

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
What is the value of the function when x = 1 in the
RUDIKE [14]

Answer:

-2

Step-by-step explanation:

3x isnt used because it stated when x>1.

so -2(1) is -2, because x =< 1 is true

3 0
1 year ago
Again hellp<br> plzzzzzzzz
charle [14.2K]

Answer: C

Hope this helps :)

5 0
3 years ago
Other questions:
  • What does 5 2/3 - 8 5/6 equal?
    15·1 answer
  • If m∠a=47°, what is m∠b, m∠c, and m∠d? Explain how you know the measures are correct.
    10·2 answers
  • Write a proportion to solve this
    12·1 answer
  • Can someone tell me how to do this problem? (Steps)
    5·1 answer
  • An object has a mass of 250g. What is the gravitational force of on object by the earth.
    5·1 answer
  • How to solve y in <br> 3y=-4x+6
    11·1 answer
  • A bus makes a stop at 2:30, letting off 13 people and letting on 5. The bus makes another stop ten minutes later to let off 4 mo
    12·1 answer
  • -7x=x² + 12
    6·1 answer
  • Which of the following 95% confidence intervals would lead us to reject Hp =0.30 in favor of
    9·1 answer
  • Detmermine the best method to solve the following equation, then solve the equation. (3x-5)^2=-125
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!