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Answer:

B) Ground speed: 639 mph; direction 161°

Step-by-step explanation:

165° = 75° South of East = S15°E, therefore;

The component of the speed of the airplane are;

650 × cos(75°) East or x-direction in vector form:[tex]$650 \times \cos \left(75^{\circ}\right) \mathrm{i}$[/tex]

650 × sin(75°) South or negative y-direction in vector form: [tex]$-650 \times \sin \left(75^{\circ}\right) \mathrm{j}$[/tex]

The speed of the airplane is [tex]$650 \times \cos \left(75^{\circ}\right) \mathrm{i}-650 \times \sin \left(75^{\circ}\right) \mathrm{j}$[/tex]  

The speed of the wind in vector form is 25i + 25·√3 j

The combined speed of the airplane and the wind is found as follows;

Combined: [tex]$\left(650 \times \cos \left(75^{\circ}\right)+25\right)\left[\dot{i}+\left(25 \cdot \sqrt{3}-650 \times \sin \left(75^{\circ}\right)\right) \mathrm{j}\right.$[/tex], which gives;

The resultant speed of the airplane, [tex]$\left.R=\sqrt{(} 193.23^{2}+(-584.55)^{2}\right)=615.66$[/tex]

The resultant speed of the airplane, [tex]$\mathrm{R}=615.66 \mathrm{mph}$[/tex]

The direction =[tex]$\arctan ((-584.55) /(193.23))=-71.7^{\circ}$[/tex]

The bearing [tex]$=90^{\circ}+71.7^{\circ}=162^{\circ}$[/tex]

Therefore, the closest option is option B, ground speed: 639 mph; direction 161°

Learn more about speed refer:

To median should be reported in the to show th general measure of center since we have a skewed distribution.

The plot of the histogram Given is skewed to the right, hence it is positively skewed.

In a positively skewed distribution, the mean value of the distribution is always greater than the median. However, it does not give an accurate measure of center as much as the median does.

Therefore, if a player want to emphasize that his team generally scored a lot of points, then reporting the median would be best as it gives a better measure of center.

If the data was normally distributed, then the mean would be a better measure of center.

Learn more : https://brainly.com/question/1363341?referrer=searchResults

Answer:

b

Step-by-step explanation:

becuse it looks like she talking about the letter b

Step-by-step explanation:

a (-infinite , -3) U (3 , infinite)

b + 5 , - 5

Answer:

-9

Step-by-step explanation:

Answer:

Both triangles have marked congruent angles

Step-by-step explanation:

Answer:

These triangles are simliar because they're all scalene.

Step-by-step explanation:

The triangle ABC is an acute (having angles less than 90 degrees), scalene (no equal sides) triangle.

The triangle BCD is also an acute triangle and scalene.

The triangle ABD is an obtuse (having an angle over 90 degrees), scalene triangle.

9514 1404 393

Answer:

  48

Step-by-step explanation:

About 2/3 of her 72 shots will land near the hole.

  2/3 × 72 = 48

Her ball will land near the hole approximately 48 times.

Answer:

Total: 1060 Gain: 60

Step-by-step explanation:

1000 (Current Amount) x 0.03 (3% as a decimal) x 2 (year amount) = 60 + 1000 (Original Amount Invested) = 1060

Answer:

is it 301.818181818

Step-by-step explanation:

if not i don't know i never learned that and that's wat the calculator gave me

Answer: the third option I believe

Step-by-step explanation:

Answer:

19/18

Step-by-step explanation:

The mixed number 2 3/8 can be changed into the improper fraction 19/8.

Answer:

12

Step-by-step explanation:

their is 12 zeros so it's 12

Answer:

[tex]? \times \frac{?}{?} [/tex]

d

Answer:

2 by 25 feet.

Step-by-step explanation:

Let L and W be the length and the widht of the field

we want W = L + 23 and W x L = 50

So

(L + 23) x L = 50

[tex]L^2 + 23L = 50\\L^2+23L-50 =0\\(L+25)(L-2)=0\\L=-25 \text{ or } L = 2[/tex]

Since L must be positive then L =2 and W = 2 + 23 = 25.

Answer:

x=12

Step-by-step explanation:

2(x-5)=14

Multiply 2 into the parenthesis

2x-10=14.

Add 10 both sides.

2x=24

Divide 2 both sides.

x=12

Answer:

it would be one solution

Step-by-step explanation:

It has one solution and is also a real number, but there's no pi or square root, so i'd go with one solution for the correct answer

Answer: One solution.

x=4

Step-by-step explanation: 5x+2−2x=2x+14−2x                                               3x+2−2=14−2                                                                                                       3x/3=12/3                                                                                                             x=4                

-2a + 6b

= -2(6) + 6(-3)

= -12 + (-18)

= -30

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{-2a + 6b}[/tex]

[tex]\huge\textsf{= -2(6) + 6(-3)}[/tex]

[tex]\huge\textsf{= -12 + (-18)}[/tex]

[tex]\huge\textsf{= -12 - 18}[/tex]

[tex]\huge\textsf{= -30}[/tex]

[tex]\huge\textsf{Therefore, your answer is: -30}[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day! }[/tex]

If you flip a coin once, you have a 1/2 chance of getting heads. You will get either a head or tail.

Flipping a coin twice gives you a 1/4 chance of getting 2 heads since you will either get a 2 heads, 2 tails, a tail then head, or a head then tails.

From this we can see its pretty likely the pattern will continue if our chances of continually getting a head keeps halfing. So we can represent it as 1/2^n (half to the power of n) where n is the number of times we flip the coin.

So the odds of flipping a coin 5 times and getting 5 heads are 1/2 ^5 (half to the power of 5). Which gives us 1/32 or just over a 3% chance.

Here we have a probability problem.

We will find that the expected number of students that gets 5 heads in a row is 3.

First, we need to find the probability of getting 5 heads in a row.

We assume that the probability of getting heads in a flip is p = 1/2 = 0.5

Then for getting heads 5 times in a row, the joint probability will be the product of the individual probabilities, we get:

[tex]P = (0.5)*(0.5)*(0.5)*(0.5)*(0.5) = (0.5)^5 = 0.03125[/tex]

Now if we have N persons, such that all of them flip a coin 5 times, the expected number of people that will get 5 heads in a row will be equal to the total number of people times the probability of getting 5 heads in a row.

N*P

So if in the class there are 100 students, we have N = 100

The expected number of students that will get 5 heads in a row is:

[tex]100*P = 100*0.03125 = 3.125[/tex]

Because we can have a 0.125 of a student, we need to round this to the nearest whole number, which is 3.

So we should expect that 3 students will get 5 heads in a row.

If you want to learn more, you can read:

https://brainly.com/question/17089724

Answer:

(x+3)(x-2)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

I added the answer of y + z and yz it gave me 7

Answer:

x1=8

x2=1/5

Step-by-step explanation:

Answer:

Option c. 3 inches

Step-by-step explanation:

Volume=27 inches³

By applying the volume formula of cube, we get

L³=27 inches³

L³=(3 inches)³

Hence the cube cancels the opposite side's cube

L=3 inches

Answer: yes

Step-by-step explanation:

Answer:

0.54

Step-by-step explanation:

27/50

= 0.54

Hope it helps.

Answer:

55

Step-by-step explanation:

20 * 3 = 60

60 marks - 5 Incorrect answer (5 marks deducted)

55 Marks

Answer:

9.777777778

Step-by-step explanation:

7/9 written as a decimal is 0.777777778 when we add this on to the whole number 9, we get 9.777777778.

hope this helps!

Answer:

BC=3

Step-by-step explanation:

We can solve this by eliminating given detail of A.

AC=13 , AB=10

To find BC, We minus AC With AB

BC= AC-AB

BC=3

3 Is the final answer

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

Answer:

Step-by-step explanation:

MO is angle bisector of ∠LMN, so:

Substitute with expressions:

Solve for x:

Find m∠NMO:

Correct choice is D