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
Iteru [2.4K]
2 years ago
11

Find all the missing elements : C=120degrees b= 5 c=11

Mathematics
1 answer:
mezya [45]2 years ago
5 0

Answer:

A = 36.8°

B = 23.2°

a = 7.6

Step-by-step explanation:

Given:

C = 120°

b = 5

c = 11

Required:

Find A, B, and a.

Solution:

✔️To find B, apply the Law of Sines

\frac{sin(B)}{b} = \frac{sin(C)}{c}

Plug in the values

\frac{sin(B)}{5} = \frac{sin(120)}{11}

Cross multiply

Sin(B)*11 = sin(120)*5

Divide both sides by 11

sin(B) = \frac{sin(120)*5}{11}

sin(B) = \frac{sin(120)*5}{11}

Sin(B) = 0.3936

B = sin^{-1}(0.3936)

B = 23.1786882° ≈ 23.2° (nearest tenth)

✔️Find A:

A = 180° - (B + C) (sum of triangle)

A = 180° - (23.2° + 120°)

A = 36.8°

✔️To find a, apply the Law of sines:

\frac{sin(A)}{a} = \frac{sin(B)}{b}

Plug in the values

\frac{sin(36.8)}{a} = \frac{sin(23.2)}{5}

Cross multiply

a*sin(23.2) = 5*sin(36.8)

Divide both sides by sin(23.2)

a = \frac{5*sin(36.8)}{sin(23.2)

a = 7.60294329 ≈ 7.6 (nearest tenth)

You might be interested in
Francisco takes care of 20% of the plants, which is 12 plants. how many total plants are in the garden?
Bad White [126]
Do a proportion
20/100= 12/x
Cross multiply and divide
12 x 100= 1,200
1,200 divided by 20 is 60
Answer is 60 plants
6 0
3 years ago
Refer to the figure. Barton Road and Olive Tree Lane
Fantom [35]

Angles at right-angle add up to 90 degrees

The measure of acute angle Tryon Street forms with Barton Road is <em>33 degrees</em>

The angle is given as:

\mathbf{A = 57^o} ---- <em>Angle formed by Tryon Street with Olive Tree Lane. </em>

The measure of the acute angle formed by Tryon Street with Barton Road (B) is calculated using:

\mathbf{A + B = 90} ---- angle at right-angle

Make B the subject

\mathbf{B = 90 - A}

Substitute 57 for A

\mathbf{B = 90 - 57}

\mathbf{B = 33}

Hence, the measure of acute angle is 33 degrees

Read more about acute angles at:

brainly.com/question/10334248

3 0
2 years ago
Harriet rode her bike 2 1/4 miles to the mall. She then rode 3/4 mile to the grocery store. She came back the way she went. How
vlabodo [156]
In order to solve this problem you have to add the distance Harriet traveled away from her starting point which is 2 1/4+3/4. Then you should end up with 3 miles. After that it says she went back on the same route so you have to double the distance. So in total she rode 6 miles.
4 0
2 years ago
Read 2 more answers
Please answer the question soon! (Select all that apply)
lisov135 [29]

Answer:

Step-by-step explanation:

ES LA A

5 0
3 years ago
Write in mathematical symbols<br><br> 20 less than three times the width 3
lesantik [10]
3w-20 is the answer for it
8 0
3 years ago
Read 2 more answers
Other questions:
  • Select the property of equality used to arrive at the conclusion. If x+8=10, then x=2. The answer choices ate: A. The multiplica
    15·2 answers
  • Suppose the population of a certain city is 5891 thousand. It is expected to decrease to 5178 thousand in 50 years. Find the per
    6·2 answers
  • Change decimal 0.35 to a percent
    14·2 answers
  • 9 over 10 times a number plus 6 is 51?
    9·2 answers
  • What is the measure of the triangle 100 points.
    12·2 answers
  • Add 4 1/2 + 5 3/4 + 2 1/3
    14·2 answers
  • What type of dilation occurs with a scale factor of 3/2?
    5·1 answer
  • A DVD with a radius of 6 centimeters rotates at a speed of 243 revolutions per minute. Find the liner speed in centimeters per s
    14·1 answer
  • What is the slope of the line that passes through the points (2, 0)and (1, 0)
    15·1 answer
  • Which decimal is equivalent to 13/11
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!