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3 years ago

How hard is the permit test?

1 answer:

5 0

It shouldn't be too hard, I've been taking my practice test all day today and yesterday night and I believe i'm going to do good today on my test, just study hard and take the practice test

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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

Please do step by steps for each!

Schach [20]

Answer:

x² - 8x + 12
x³ + 2x² - 15x - 36
x³ -2x² - 15x

Step-by-step explanation:

#1) Find the polynomial with roots at 2 and 6

(x -2)(x - 6) = x² - 8x + 12

#2) Find the polynomial with a double root at -3 and another root at 4

(x+3)(x+3)(x-4) = (x²+6x+9)(x-4) = x³ + 2x² - 15x - 36

#3) Find the polynomial with roots 0, -3 and 5

(x -0)(x+3)(x-5) = x(x²-2x - 15) = x³ -2x² - 15x

3 0

3 years ago

A certain academic program boasts that 87% of their graduates find full-time employment in their field within the first year of

WARRIOR [948]

Answer:

Option A, there is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05.

Step-by-step explanation:

Here the Null hypothesis would be

H0: 87% of the graduates find full-time employment in their field within the first year of graduation

H1: Less than 87% of the graduates find full-time employment in their field within the first year of graduation

Here the p values is 0.07.

Since the p value is greater than 0.05, there are not enough evidences to reject the hull hypothesis.

Hence, option A is correct

7 0

3 years ago

Clarissas team collects m magazines for the recycling drive JoAnn team collects 3 times as many

Mamont248 [21]

Answer:

Clanssa’s team collects m magazines for the recycling drive. JoAnn’s team collects 3 times as many magazines as Clarissa’s team. JoAnn’s team collects a total of 654 magazines.

Step-by-step explanation:

6 0

2 years ago

Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyra

mina [271]

Answer:

Akira needs 45 square inches of gold foil to cover the chair free including the bottom

Step-by-step explanation:

Total surface = surface area of the base square + area of 4 triangles

Step 1: The surface area of the base square

surface area of the base = surface area of the square = $s^2$