answer.
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]
2 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]2 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
Type two statements that use nextint() to print 2 random integers between (and including) 100 and 149. end with a newline. ex: 1
solong [7]

NB- Solution is emboldened

 

import java.util.Scanner;

import java.util.Random;

public class RandomGenerateNumbers {

public static void main (String [] args) {

Random randGen = new Random();

int seedVal = 0;

seedVal = 4;

randGen.setSeed(seedVal);

System.out.println(randGen.nextInt(50) + 100);

System.out.println(randGen.nextInt(50) + 100);

return;

}

}

4 0
2 years ago
Read 2 more answers
A driveway is 40 yards long. About how many meters long is it? Round to the nearest hundredth
Neko [114]
The driveway is 36.576 meters long.
7 0
2 years ago
In order to produce 100 oatmeal cookies, Goodie Cookie Co. incurs an average total cost of $0.25 per cookie. The company’s margi
amm1812

Answer:

Option D : $20

Step-by-step explanation:

The average total cost to produce 100 oatmeal cookie = $0.25 per cookie.

So, total cost for 100 cookies will be = 0.25\times100=25 dollars

The company’s marginal cost is constant at $0.10 for all oatmeal cookies produced.

When 50 cookies are produced, the marginal cost will be = 0.10\times50=5dollars

The total cost to produce 50 oatmeal cookies = 25-5=20 dollars

Hence, option D is correct.

8 0
2 years ago
Kendra has a bowl containing 10 blue marbles, 15 yellow marbles, 5 green marbles, and 6 red marbles of the same size. She will r
Mice21 [21]
Given:
10 blue marbles ; 15 yellow marbles, 5 green marbles, 6 red marbles
A total of 36 marbles.

Probabilities:
1st marble: red = 6/36
2nd marble: yellow = 15/35

6/36 * 15/35 = 6*15 / 36*35 = 90/1260 = 1/14

The probability that Kendra will draw a red marble and then a yellow marble is 1/14.
6 0
2 years ago
How can victoria justify step 3 of her work
Wittaler [7]
A little more info please?
4 0
2 years ago
Read 2 more answers
Other questions:
  • Pat helps run an animal shelter. The actual number of animals brought in during a particular month was 150. The percent error wa
    6·1 answer
  • In a given quadrilateral, each side is parallel to its opposite side and the diagonals are not perpendicular. What could it be?
    9·2 answers
  • Congratulations you received a score of 3.4 on your annual review . Merit increases are given out starting at .5% at a score of
    10·1 answer
  • Based only on the information given in the diagram, it is guaranteed that ABC XYZ
    11·2 answers
  • The top surface of a desk has a length of 5.6 ft and the length is 4 times its width what is the width of the desk
    6·1 answer
  • A substance used in biological and medical research is shipped by air freight to users in cartons of 1,000 ampules. The data bel
    13·1 answer
  • If hexagon JGHFKI Is congruent to hexagon SRTQUV, which pair of angles must be congruent?
    10·2 answers
  • What is the true solution to l n 20 + l n 5 = 2 l n x x = 5 x = 10 x = 50 x = 100
    11·2 answers
  • 88 books cost \$19.60$19.60dollar sign, 19, point, 60. Which equation would help determine the cost of 101010 books? Choose 1 an
    6·1 answer
  • A ball is thrown from a height of 32 meters with an initial downward velocity of 2/ms. The ball's height h (in meters) after t s
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!