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
maw [93]
3 years ago
13

Find, correct to the nearest degree, the three angles of the triangle with the given vertices.

Mathematics
1 answer:
Leokris [45]3 years ago
7 0

Answer:

angle CAB = 113.8 degree

angle ABC = 35.6 degree

angle BCA = 30.6 degree

Step-by-step explanation:

Given data:

A(1, 0, −1),

B(5, −3, 0),

C(1, 5, 2)

calculate the length of side by using the distance formula

so

AB = (5,-3,0) - (1,0,-1) = (4,-3,1)

AC= (1,5,2) - (1,0,-1) = (0,5,3)

|AB|

|AC| =\sqrt {(0 + 5^2+3^2)} = \sqrt{34}

From following formula, calculate the angle between the two side i.e Ab and AC

AB.AC = |AB|*|AC| cos ∠CAB

(4,-3,1).(0,5,3)

4*0 -3*5 +1*3

-12 =

cos ∠CAB = - 0.404

angle CAB = 113.8 degree

BA =B- A =  (1,0,-1) - (5,-3,0) = (-4,3,-1)

BC = (1,5,2)-(5,-3,0) = (-4,8,2)

|BA| = \sqrt{(26)}

|BC| = \sqrt {(4^2 + 8^2 + 2^2)} = \sqrt{(84)}

BA.BC = |BA|*|BC|* cosABC

(-4,3,-1).(-4,8,2) =\sqrt{(26)} * \sqrt{(84)} *cosABC

16+24-2

cos ∠ABC = 0.813

angle ABC = 35.6 degree

we know sum of three angle in a traingle is 180 degree hence

sum of all three angle = 180

angle BCA + 35.6 + 113.8 = 180

angle BCA = 30.6 degree

You might be interested in
The Liter Is Associated with what English unit?
olchik [2.2K]
The <span>metric unit of weight.</span>
3 0
3 years ago
Read 2 more answers
If 260 is increased by 170%, what is the resulting number?
iragen [17]
Hello!
----------
The answer is 442.
----------
WORK: 170%=1.7*260=442
----------
Hope this helps and have a great day!
4 0
3 years ago
Factorise fully<br>10c + 25​
liq [111]

Answer:

5(2c+5)

I hope this helps

8 0
2 years ago
16 out of 24 in simplest form
Aleks [24]
Do you mean 16/24 in simplest form? In that case it would be

16/24 = 8/12 = 4/6 = 2/3
4 0
3 years ago
Read 2 more answers
Please help!!!! question is/.........
Andrew [12]
Area of circle = 3.14 x 6^2 = 3.14 x 36 = 113.04

1/2 circle = 113.04 / 2 = 56.52

Area of rectangle = 8 x 6 = 48

Area of figure = 48 + 56.52 = 104.52 

answer
104.52 ft^2
8 0
3 years ago
Other questions:
  • It cost sean 3.75 to play 45 songs on an old jukebox. The jukebox only accepts quarters. How many songs can the jukebox play per
    14·1 answer
  • Someone please help me with this
    8·1 answer
  • Which angle is larger?​
    14·1 answer
  • ANSWER THE PICTURE PLZ IF I GET A MY MOM WILL GET ME A FERRET BTW ITS RATIOS
    11·1 answer
  • The factory Sweet Delight delivers sugar to its clients. Let C be the total cost of sugar transportation (in pesos). Let A be th
    7·1 answer
  • Help me please i don't understand this.
    5·2 answers
  • There are 75 boys, 60 girls and 15 teachers at a kindergarten.
    5·1 answer
  • A store offers a 30% discount on a coat that originally sold for $120. The coat still does not sell, so the store offers another
    13·1 answer
  • Need Help ASAP……………..
    9·1 answer
  • How many three-digit even numbers are possible if the leftmost digit cannot be zero?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!