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
Leviafan [203]
3 years ago
10

A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC

=150°. Calculate the area of triangle ABC.
a)
40 km2
b)
30 km2
c)
10 km2

Mathematics
1 answer:
In-s [12.5K]3 years ago
6 0

Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

A=\frac{1}{2}a\cdot c\cdot\text{sin}(b), where angle b is angle between sides a and c.

For our given triangle a=5,c=8 and measure of angle b is 150 degrees.

A=\frac{1}{2}(5)\cdot (8)\cdot\text{sin}(150^{\circ})

A=5\cdot 4\cdot(0.5)

A=10

Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.

You might be interested in
What is the measure of ZBAC?
IceJOKER [234]

Answer:

80 degrees

Step-by-step explanation:

Sum of the interior angles of a triangle = 180

a + 50 + 50 = 180

a = 80

6 0
2 years ago
a woman spent two thirds of her money. she lost two thirds of the remiander and then had $4(aus money) left. how much money did
Dima020 [189]

Answer:

<h3>2/3 lost is 1/3 kept</h3>

<h3>2/3 of the 1/3 kept is 2/9 lost</h3>

  • 1/3 x - 2/9 x = 4

  • 3/9 x - 2/9 x = 4

  • 1/9 x = 4

  • x = 36

<h3>First she lost 2/3 of 36, which is 24. She had 12 left. Then she lost 2/3 of 12 which is 8. She had 4 left.</h3>

  • Hence she started with $36 .

Step-by-step explanation:

<h2>Hope this helps you !! </h2>

6 0
3 years ago
Help pls 2,4 +0,8=........+1,21=........+1,78=........-5,14=
Mrrafil [7]
Lets write this out:-

2.4 + 0.8 = ________ + 1.21 = ______ + 1.78 = ______ - 5.14 = _____

So to solve d blanks we will do d following:-

2.4 + 0.8 = 3.2

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 + 1.21 = ______ + 1.78 = ______ - 5.14 = ____

Now lets solve again:-

3.2 + 1.21 = 4.41 

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 + 1.21 = 4.41 + 1.78 = ______ - 5.14 = ____

Now lets solve again:-

4.41 + 1.78 = 6.19

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 + 1.21 = 4.41 + 1.78 = 6.19 - 5.14 = ____

Now lets solve again:-

6.19 - 5.14 = 1.05

Now lets write this out AGAIN.

2.4 + 0.8 = 3.2 + 1.21 = 4.41 + 1.78 = 6.19 - 5.14 = 1.05

So, 2.4 + 0.8 = 3.2 + 1.21 = 4.41 + 1.78 = 6.19 - 5.14 = 1.05

Hope I helped ya!! xD 
7 0
3 years ago
What the questions are asking help ASAP please
Rudiy27

Answer:

Step-by-step explanation:

A scalar is a constant value that is multiplied throughout a matrix.

e.g.

In number 1 the set up would look like this

3 * \left[\begin{array}{ccc}3&-1&5\\2&1&-4\\-6&3&2\end{array}\right]

To solve this, you must distribute the 3 to each value within the matrix

The solution to #1 would be

M = \left[\begin{array}{ccc}9&-3&15\\6&3&-12\\-18&9&6\end{array}\right]

3 0
3 years ago
PLEASE HELP! I'M STRUGGLING! WILL GIVE BRAINLIEST
lianna [129]

Answer:

1/6

Step-by-step explanation:

Since there is only 1 letter R in 6 options it is 1/6 (im not entirely sure)

7 0
3 years ago
Read 2 more answers
Other questions:
  • HELP HELP !! 5(-3x - 2) - (x - 3) = -4(4x + 5) + 13
    6·1 answer
  • The soccer league has a total of 272 players on 16 teams. How many players per team are there in the league?
    14·2 answers
  • Your sister is considering two different shapes of her garden. One is a square with side lengths of 3.5 meters, and the other is
    14·2 answers
  • Find the distance points p (3,6) and q (7,3) to the nearest tenth?
    13·2 answers
  • Write down the value of 5 in the following numbers.
    5·1 answer
  • What is the equation of the circle in standard form see attachment
    12·2 answers
  • Lola pulls two marbles fro. A bag that contains four red marbles four blue marbles and 12 yellow marbles without replacing them
    6·1 answer
  • Pls help me with 3,4, and 5
    12·2 answers
  • HELP PLEASE ILL MAKE YOU BRILLIANT !?!
    9·1 answer
  • Write each equation in slope intercept form Underline the slope and circle the y intercept in each equation 5x + 3y = 30
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!