Help please u guys will help right

Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance o

g100num [7]

Answer:

The value is $k =109.6 \ miles$

Step-by-step explanation:

The diagram illustrating the question is shown on the first uploaded image

From the question we are told that

The distance from city A to B is AB = 467.3 miles

The bearing from B to C is $\theta_{BC} = N 28.7E$

The bearing from B to A is $\theta_{BA} = N 60.7E$

The bearing from A to B is $\theta_{AB} = S60.7W$

The bearing from A to C is $\theta_{AC} = S79.1W$

Generally from the diagram

$\theta_A = 180 - 60.7 -79.1$

=> $\theta_A = 40.2 ^o$

Also

$\theta_B = 32^o$

and

$\theta_C = 180 - (\theta_A +\theta_B )$

=> $\theta_C = 180 - (40.2 + 32 )$

=> $\theta_C = 107.8 ^o$

Generally according to Sine Rule

$\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}$

=> $\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}$

So

$\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}$

=> $BC = 316.8 \ miles$

Also

$\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}$

$CA = 260 .1 \ miles$

Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as

$k = [CA +BC] - AB$

=> $k = [260 .1 +316.8]- 467.3$

=> $k =109.6 \ miles$

4 0

3 years ago

(2.4 x 10^-5)^4 Round to the nearest thousandth

lana66690 [7]

Answer:

0

Step-by-step explanation:

6 0

3 years ago

3(5x+2)=2(3x-6)<br> help i need to show work and I have no idea how to do this

tester [92]

Answer: its −2

Step-by-step explanation:

3*(5*x+2)-(2*(3*x-6))=0

Step by step solution :

STEP

1

:

STEP

2

:

Pulling out like terms

2.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Equation at the end of step

2

:

(3 • (5x + 2)) - 6 • (x - 2) = 0

STEP

3

:

Equation at the end of step 3

3 • (5x + 2) - 6 • (x - 2) = 0

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

9x + 18 = 9 • (x + 2)

Equation at the end of step

5

:

9 • (x + 2) = 0

STEP

6

:

Equations which are never true

6.1 Solve : 9 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

6.2 Solve : x+2 = 0

Subtract 2 from both sides of the equation :

x = -2

One solution was found :

x = -2

8 0

4 years ago

Read 2 more answers

The value of a car depreciates by 40% each year. At the end of 2007 the value of the car was £3600 Work out the value of the car

natima [27]

Answer: $6,000

Step-by-step explanation: If set up correctly, the value of the car at the end of 2006 times 0.6 (because the car is losing 0.4 of its value, so it keeps 0.6 of its value) should get you the value of the car at the end of 2007.

The equation should look like this:

(value of the car at the end of 2006) x 0.6 = (value of the car at the end of 2007)

Then you substitute: (value at the end of 2006) x 0.6 = 3600

Then divide: (value at the end of 2006) = 0.6 ÷ 3600

Then substitute again: (value at the end of 2006) = 6,000

Hope this helped you! Feel free to ask me any questions!

3 0

3 years ago

Can someone please help me with this?

Galina-37 [17]

1. yes

2. yes

3. no

4. no

5. yes

6. yes

7. 3,0,2

8. 10,7,5

9. 1,-2,0

10. 9,0,-6

11. 11,-1,-9

12. 36,0,-24

3 0

2 years ago