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
shusha [124]
2 years ago
10

List the angles of ∆ abc from smallest to largest. Ab = 20, bc = 12, ca = 10.

SAT
1 answer:
Nataly [62]2 years ago
4 0

The angle of the triangle ABC from smallest to largest are approximately 22°, 27° and 131°.

The sides of the triangle are as follows;

AB = 20

BC = 12

AC = 10

Let's find ∠A using cosine rule,

a² = b² + c² - 2bc cos A

cos A = b² + c² - a² / 2bc

Therefore,

cos A = 10² + 20² - 12²  / 2 × 10 × 20

cos A = 100 + 400 - 144 / 400

cos A = 356 / 400

cos A = 0.89

A = cos⁻¹ 0.89

A = 27.1267531173

∠A ≈ 27°

Using sine rule let's find ∠B

12 / sin 27 = 10 / sin B

cross multiply

12 sin B = 10 sin 27

sin B = 10 sin 27 / 12

sin B = 10 × 0.45399049974  / 12

sin B = 4.5399049974  / 12

B = sin⁻¹ 0.37832541645

B = 22.2299936087

∠B = 22°

Using sum of triangle theorem let's find ∠C

∠C = 180 - 27 - 22

∠C = 131°

The angles from smallest to largest are approximately 22°, 27° and 131°.

learn more on triangle here: brainly.com/question/12913110?referrer=searchResults

You might be interested in
____________ reinforcement occurs if a behavior is only reinforced some of the time. A. Continuous b. Positive c. Intermittent d
notka56 [123]

Answer:

Its c! Intermitted

Explanation:

I took the test

5 0
3 years ago
A thumbnail sketch has proportional width and height.<br><br> A. True<br> B. False
hammer [34]

Answer:

A

Explanation:

6 0
3 years ago
Read 2 more answers
Which phrase best describes a gravitational force?
irinina [24]

Answer:

A force that pulls objects towards each other.

Explanation:

6 0
2 years ago
Let see if you know long division 3) 461​
WARRIOR [948]

Answer:

461 = dividend

3 = divisor

Explanation:

Step 1:

Start by setting it up with the divisor 3 on the left side and the dividend 461 on the right side like this:

           

   3 ⟌ 4 6 1

Step 2:

The divisor (3) goes into the first digit of the dividend (4), 1 time(s). Therefore, put 1 on top:

       1    

   3 ⟌ 4 6 1

Step 3:

Multiply the divisor by the result in the previous step (3 x 1 = 3) and write that answer below the dividend.

       1    

   3 ⟌ 4 6 1

      3    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 3 = 1) and write the answer below.

       1    

   3 ⟌ 4 6 1

     - 3    

       1    

Step 5:

Move down the 2nd digit of the dividend (6) like this:

       1    

   3 ⟌ 4 6 1

     - 3    

       1 6  

Step 6:

The divisor (3) goes into the bottom number (16), 5 time(s). Therefore, put 5 on top:

       1 5  

   3 ⟌ 4 6 1

     - 3    

       1 6  

Step 7:

Multiply the divisor by the result in the previous step (3 x 5 = 15) and write that answer at the bottom:

       1 5  

   3 ⟌ 4 6 1

     - 3    

       1 6  

       1 5  

Step 8:

Subtract the result in the previous step from the number written above it. (16 - 15 = 1) and write the answer at the bottom.

       1 5  

   3 ⟌ 4 6 1

     - 3    

       1 6  

     - 1 5  

         1  

Step 9:

Move down the last digit of the dividend (1) like this:

       1 5  

   3 ⟌ 4 6 1

     - 3    

       1 6  

     - 1 5  

         1 1

Step 10:

The divisor (3) goes into the bottom number (11), 3 time(s). Therefore put 3 on top:

       1 5 3

   3 ⟌ 4 6 1

     - 3    

       1 6  

     - 1 5  

         1 1

Step 11:

Multiply the divisor by the result in the previous step (3 x 3 = 9) and write the answer at the bottom:

       1 5 3

   3 ⟌ 4 6 1

     - 3    

       1 6  

     - 1 5  

         1 1

           9

Step 12:

Subtract the result in the previous step from the number written above it. (11 - 9 = 2) and write the answer at the bottom.

       1 5 3

   3 ⟌ 4 6 1

     - 3    

       1 6  

     - 1 5  

         1 1

     -     9

           2

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 461 divided by 3 calculated using Long Division is:

153

2 Remainder

8 0
3 years ago
Un text de toamna cu expresii plastice de zece propozitii
aliina [53]
Catch me outside .....autumn
5 0
3 years ago
Other questions:
  • Which of these is a natural monopoly?
    6·2 answers
  • Describe two environments in which minerals form. List a mineral that is formed in each environment
    12·1 answer
  • Which point on a graph shows minimum wage as the price floor
    8·1 answer
  • Can anyone solve this for me
    14·2 answers
  • in the class of 10 students the probability of them passing sst206 is 1/3. then find the probability of a student passing​
    5·1 answer
  • An atom that has become charged by gaining or losing electrons is called a(n)-
    6·2 answers
  • Charlie likes to go to a local amusement park with friends a couple of times per year, but worries that he may
    6·1 answer
  • Which statement about the passage best reflects the influence of a totalitarian dictator? the inability of the animals to sleep
    6·2 answers
  • Point e is drawn on the graph so that line ef is parallel to line cd. If the coordinates of point e are (, y), what is the value
    10·1 answer
  • Distinguish between conflict avoidance confrontation and resolution
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!