Which ordered pairs are solutions to the inequality x+3y<−8?

For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at

GuDViN [60]

First, let's calculate the horizontal and vertical components of the wind speed (W) and the airplane speed (A), knowing that south is a bearing of 270° and northeast is a bearing of 45°:

$\begin{gathered} W_x=W\cos45°\\ \\ W_x=50\cdot0.707\\ \\ W_x=35.35\\ \\ \\ \\ W_y=W\sin45°\\ \\ W_y=50\cdot0.707\\ \\ W_y=35.35 \end{gathered}$ $\begin{gathered} A_x=A\cos270°\\ \\ A_x=540\cdot0\\ \\ A_x=0\\ \\ \\ \\ A_y=A\sin270°\\ \\ A_y=540\cdot(-1)\\ \\ A_y=-540 \end{gathered}$

Now, let's add the components of the same direction:

$\begin{gathered} V_x=W_x+A_x=35.35+0=35.35\\ \\ V_y=W_y+A_y=35.35-540=-504.65 \end{gathered}$

To find the resultant bearing (theta), we can use the formula below:

$\begin{gathered} \theta=\tan^{-1}(\frac{V_y}{V_x})\\ \\ \theta=\tan^{-1}(\frac{-504.65}{35.35})\\ \\ \theta=-86° \end{gathered}$

The angle -86° is equivalent to -86 + 360 = 274°.

Therefore the correct option is b.

8 0

1 year ago

Pls help me on this question

Maksim231197 [3]

The answer is selections 1 and 4

7 0

3 years ago

Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people

AlekseyPX

Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = $6\frac{1}{2}$

Amount of one serving contains = $\frac{3}{4}$ cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

$6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}$

Therefore, total number of servings available as per the given quantities:

$\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8$

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

7 0

3 years ago

Write the sum of the numbers as the product of their gcf and another sum Problem: 30+54

omeli [17]

The correct answer here is that the sum has to be 84. This is due to the fact that 30 + 54 is 84, and the greatest common factor is 6 because the factors of 30 are 1, 2, 3, 5, 6 , 10, 15, and 54's Factors: 1, 2, 3, 6, 9, 18, 27, and 54, so from this we can see that 6 is the great common factor.

4 0

4 years ago

The question is in the pic PLEASE HELPPPPPP

serious [3.7K]

Answer:

25% probability the odds are for question 26/52 or 1/2 multiply 1/2 by 1/2 for both and you get 1/4

Step-by-step explanation:

4 0

3 years ago