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
malfutka [58]
3 years ago
15

Laws of Sines with find the angle.

Mathematics
2 answers:
Fiesta28 [93]3 years ago
5 0

Answer:

1. H ≈ 49.1°

2. F ≈ 38.0°

3. R ≈ 17.0°

Step-by-step explanation:

1.

We need to find angle H, which is the third angle. We are given two sides and an angle, so we can use the Law of Sines to solve.

The Law of Sines states that for a triangle with side lengths a, b, and c and angles A, B, and C:

\frac{a}{sinA} =\frac{b}{sinB}  =\frac{c}{sinC}

Here, we can say that a = 22, b = 27, and B = 68. We want to find "A", which is the same angle as H:

\frac{a}{sinA} =\frac{b}{sinB}

\frac{22}{sinH} =\frac{27}{sin(68)}

Solve for H:

H ≈ 49.1°

2.

Use the Law of Sines again (use the same method as above):

\frac{17}{sin(108)} =\frac{11}{sin(F)}

Solve for F:

F ≈ 38.0°

3.

Use the Law of Sines again (use the same method as before):

\frac{9}{sin(26)} =\frac{6}{sin(R)}

Solve for R:

R ≈ 17.0°

Jobisdone [24]3 years ago
4 0
A divide by sin A = b divide by sin B
1. 27 divide by sin 68=22 divide by sin x
Sin x=sin 68 times 22 divide by 27
Sinx=0.65696
X=71.7 degrees
You might be interested in
Solve the equation of exponential decay. The population of a city is expected to be 440,000 in 2020. This is a decline of 12% fr
DIA [1.3K]

Answer:

about 340,000

Step-by-step explanation:

In 10 years, the population dropped to 0.88 of what it was in 2010. At the same rate, in 20 more years, it will drop to 0.88² of what it was in 2020:

2040 population = 440,000·0.88² ≈ 340,000

5 0
3 years ago
Read 2 more answers
An old house has a basement stairway that has steps with 7.25 inch vertical risers and 7 inch horizontal treads. What is the slo
svlad2 [7]

Answer:

1.04 inch

Step-by-step explanation:

Given: Old house has a basement stairways with 7.25 inch vertical riser and 7 inch horizontal treads.

Remember; horizontal treads is known as run in steps.

Now, calculating the slope of the stairways.

Formula: Slope= \frac{Rise}{Run}

Rise= 7.25 inch

Run= 7 inch.

Subtituting the value in the formula

Slope= \frac{7.25}{7}= 1.0357 \approx 1.04 (∵ Round to two decimal)

∴ Slope of stairways is 1.04.

4 0
3 years ago
Someone annnnswer pls
cupoosta [38]

Answer:

t = 16

Step-by-step explanation:

Hope this helped :]

4 0
3 years ago
Read 2 more answers
What’s the shade to this problem!? PLZ HELP I REALLY NEED THIS HELP!!!
Mashcka [7]

Answer:

the bottom section

Step-by-step explanation:

cause

6 0
3 years ago
Помогите математика !!!!!!
ohaa [14]

Answer:

sorry say nice its out of understand

4 0
3 years ago
Other questions:
  • A train is traveling up slight grade with an angle of inclination of only 2 degrees. After traveling 1 mile, what is the vertica
    13·1 answer
  • Allison created a table to help her represent the sample space of spinning a spinner and flipping a coin. What is the probabilit
    7·2 answers
  • HURRRY The volume of a cylinder is given by the formula V=pir2h where r is the radius of the cylinder and h is the height. Which
    9·1 answer
  • How do you make x the subject of basic equations? Thanks in advance.
    12·1 answer
  • A rectangle is 9 centimeters long and 6 centimeters wide. What is its area?
    10·1 answer
  • Which of the following statements represents a valid argument?
    14·1 answer
  • Can someone help me with this
    10·1 answer
  • Best estimate of 48% of 159
    14·1 answer
  • Use the quadratic formula to solve 2x^2 -1 = 7x, and then verify your answer by graphing​
    10·2 answers
  • Combine like terms to find <br> 4.1 - 8x = -7.7x + 5.24
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!