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
What is the answer to this math question?
Dvinal [7]

The correct answer is:

C) 40°

4 0
3 years ago
The length of Suez Canal on a map of drawing scale 1 : 1400000 is 70 Km ,then its
lapo4ka [179]

Answer:

76

Step-by-step explanation:because its the answer

7 0
3 years ago
if the sum of the first 60 positive integers is s, what is the sum of the first 120 integers in terms of s? a. 2s 3600 b. s^2 36
kvasek [131]
For the first 60 positive integers, a = 1, n = 60, l = 60.
Sn = n/2(a + l)
s = 60/2(1 + 60) = 30(61)

For the next 60 positive integer, a = 61, n = 60, l = 120
Sum = 60/2(61 + 120) = 30(61 + 120) = 30(61) + 30(120) = s + 3600

Sum of first 120 positive integers = s + s + 3600 = 2s + 3600
6 0
3 years ago
Maynor rode his bike 2 miles in 8 minutes. Paul rode his bike
madam [21]

no

no because maynor rode 2 miles every 4 minutes and paul rode 3 miles every 4 minutes. not the same

7 0
3 years ago
1.what is the vertex of the graph? (see attachment)
AfilCa [17]
Hello :
here is a solution :

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the probability of choosing two kings?
    15·1 answer
  • 2 out of every 7 fans at the Wombats vs. Wallabies game we're season ticket holders. If 2,800 fans attended the game, how many d
    7·1 answer
  • What is the square root of 90 exactly?!?!
    13·1 answer
  • A supermarket opens at 7:30am. It stays open for 14 hrs 30 minutes each day. At what time supermarket close?
    10·2 answers
  • Evaluate the numerical expression. −8.1 – 3.5 ÷ (−0.5)
    12·1 answer
  • Please help! I know the answer but I don’t know how to work it out... Answer is 634cm^3
    9·1 answer
  • Examine the system of equations.
    7·2 answers
  • If the initial point of a vector is (6, −5) and the terminal point is (2, −3), find the components of the vector. A) <−4, −8&
    7·1 answer
  • What is the answer ??
    15·1 answer
  • Which expression shows the area of the base of each pyramid? (One-fourth x) squared in.2 (One-third x) squared in.2 (One-half x)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!