A plane, initially traveling 150 mi./hr. 100 east of north, suddenly enters a region where the wind is blowing at 50 mi./hr. from the southwest.

What is the plane’s resultant direction?

Answers

Answer 1

Answer:

the Velocity of the plane is 100 mi/hr along the northeast direction

Step-by-step explanation:

According to the Question,

Given That, the Initial velocity of the plane is 150 mi/hr along the east north direction and the wind is blowing at 50 mi/hr along the southwest direction  

since the velocity of wind and plane is exactly opposite

the relative velocity of the plane with respect to the wind is given by

[tex]V_{r} = V_{p} -V_{w}[/tex]  , where  [tex]V_{p}[/tex] is the velocity of plane = 150mi/hr and [tex]V_{w}[/tex] = velocity of wind = 50 mi/hr

Therefore,  Relative Velocity = 150-50 ⇒ 100mi/hr along northeast direction

Thus, the velocity of the plane is 100 mi/hr along the northeast direction


Related Questions

A 7-ounce jar of instant coffee costs $11.78. Find the cost per ounce. Round to the nearest cent.

Answers

Answer:

1.68 per ounce

Step-by-step explanation:

11.78÷7=1.68285714286

1.68285714286 rounded to the nearest cent =1.68

What is the solution to the system of equation?

Answers

The correct answer is (0, 3)

Answer:

x = 0

y = 3

Step-by-step explanation:

-x - 2y = - 6

0 - 2(3) = -6

6 = 6

-3x + 2y = 6

-3(0) + 2(3) = 6

0 + 6 = 6

Which of the following graphs could be the graph of the function f(x)=-0.08 (x2 -11x+18)

Answers

Answer:

f(x)-3x+5 and g(x)=4+5 is it true ?Step-by-step explanation:

Answer:

option c

Step-by-step explanation:

What is the nth term rule of the linear sequence below?
22,18,14,10,6.....

Answers

Answer:

it goes down by 4 every time

8. What is the equation of the line that passes through the points (0,5) and (1,7)
a. y = 3x - 3
b. y = 2x + 5
y = 4x - 1
d. y = 1/2x + 5

Answers

Answer:

B. y = 2x + 5

Step-by-step explanation:

Slope intercept formula y=mx+b

Slope formula y1-y2/x1-x2

First, let's find slope since we are provided 2 pairs of points, we can simply plug in our numbers in the Slope formula (y1-y2/x1-x2)

5-7/0-1

-2/-1

2/1

=2

Slope (m) = 2

Now using slope let's find our y-intercept (b) to plugin in our slope intercept formula (y=mx+b) for this let's use point 0,5

y=2x+b

5=2(0)+b

5=b

Y-intercept (b) = 5

Now let's plug in the slope (m) and the y-intercept (b) into the slope-intercept formula (y=mx+b)

y=mx+b

y=2x+5

So therefore our answer is B

Darryl was shopping for a new camera. He found one with an original price of
$125.00 and is marked 45% off. Sales tax for the item is 5.2%. What is the final
price of the camera, including tax?

Answers

Answer:

$72.33

Step-by-step explanation:

125 * 0.45 = 56.25

125 - 56.25 = 68.75 (marked off price)

68.75 * 1.052 = 72.33 (add sales taxes and round off)

Final price $ 72.33

help me plz im very confused​

Answers

Answer:

x = 11

Step-by-step explanation:

The two angles form a straight line so they add to 180

4x+15 + 11x = 180

Combine like terms

15x+15 = 180

Subtract 15 from each side

15x+15-15 = 180-15

15x = 165

Divide by 15

15x/15 =165/15

x = 11

A grocery store owner budgets $5,000 to buy and maintain a booth for 300 days to give out samples of food. If she bought the booth for $1,400, how much money, in dollars, can she spend on food each day for samples and stay within budget? Write an inequality that represents this situation and indicate what the solution to the inequality will look like.

Answers

Answer:

x ≤ $12 a day

Step-by-step explanation:

5000-1400=3600

3600/300=12

Help please, I swear I can't even try on this. I'm just gonna die if I try.

Answers

Answer:

1) word form

three million,two hundred and ninety eight thousand and seventy six

expanded form

5000000+3000+87

2)5,003,087

3)64,000,239

HELPPP!!!!! Plzzzz!!

Answers

Given:

Cards labelled 1, 3, 5, 6, 8 and 9.

A card is drawn and not replaced. Then a second card is drawn at random.

To find:

The probability of drawing 2 even numbers.

Solution:

We have,

Even number cards = 6, 8

Odd numbers cards = 1, 3, 5, 9

Total cards =  1, 3, 5, 6, 8 and 9

Number of even cards = 2

Number of total cards = 6

So, the probability of getting an even card in first draw is:

[tex]P_1=\dfrac{\text{Number of even cards}}{\text{Number of total cards}}[/tex]

[tex]P_1=\dfrac{2}{6}[/tex]

[tex]P_1=\dfrac{1}{3}[/tex]

Now,

Number of remaining even cards = 1

Number of remaining cards = 5

So, the probability of getting an even card in second draw is:

[tex]P_2=\dfrac{\text{Number of remaining even cards}}{\text{Number of remaining total cards}}[/tex]

[tex]P_2=\dfrac{1}{5}[/tex]

The probability of drawing 2 even numbers is:

[tex]P=P_1\times P_2[/tex]

[tex]P=\dfrac{1}{3}\times \dfrac{1}{5}[/tex]

[tex]P=\dfrac{1}{15}[/tex]

Therefore, the probability of drawing 2 even numbers is [tex]\dfrac{1}{15}[/tex]. Hence, the correct option is (b).

may I please have help from anyone thank you so much !

Answers

12•11•h=2,244 would be right :)

Find the sum.
Express your answer in-simplest
form.
-6u-9/v^2- 8 + 6u+3/v^2-8

Answers

-6 / v^2-8. That’s it

please help will give brainlist​

Answers

Answer:

x=6,y=16 that's what I got

Which transformation preserves the property of a shape of a figure

Answers

Dilations. A dilation is a transformation which preserves the shape and orientation of the figure, but changes its size. The scale factor of a dilation is the factor by which each linear measure of the figure (for example, a side length) is multiplied.

If 1 kg of milk had 0.264 kg of fat, then find the amount fat in 12.5 kg of milk.

Answers

1 kg--> 0.264 kg fat

:. 12.5 kg--> (0.264*12.5) 3.3 kg fat

Mark me brainliesttt :))

Estimate the quotient using compatible numbers. 486÷ 5

Answers

Answer:

97.2

In mixed number form its 97 1/5

which number is represented by the number line

Answers

Answer: B

Step-by-step explanation: The number line has tally marks up to 3, so 3 has to be divided by something, meaning A and C do not work. There are 9 total tally marks circled, so the equation equals 9, leaving B as the only possible answer. Also, there are three tally marks per whole number, so each tally is 1/3, which is equal to 2/6, further proving it is B.

help jekrjrifirnrifjrnrifn

Answers

Answer:

c

I hope it's the right answer

Luis's bowling scores were 195, 194, 191, 190, 238, and 192. Which measure (median, mean, mode or range) BEST describes Luis's bowling score? EXPLAIN your answer.

Answers

Step-by-step explanation:

The given data is :

195, 194, 191, 190, 238, and 192

Mean = (sum of observations)/(total no. of observations)

[tex]\text{Mean}=\dfrac{195+194+191+190+238+192}{6}\\\\=200[/tex]

So, the mean is the best measure. Also, w can find median as follows.

arranging in order : 190,191,192, 194, 195,238

Here, n = 6

[tex]\text{Median}=\dfrac{\dfrac{n}{2}^{th}+(\dfrac{n}{2}+1)^{th}}{2}\\\\\text{Median}=\dfrac{\dfrac{6}{2}^{th}+(\dfrac{6}{2}+1)^{th}}{2}\\\\=\dfrac{3^{th}+4^{th}}{2}\\\\=\dfrac{192+194}{2}\\\\=193[/tex]

Hence, this is the required solution

12% of 4 meters ( in cm) ​

Answers

Answer:

48 cm

Step-by-step explanation:

percent x meters x centimeters in meters

.12 x 4 x 100

Answer:

48 cm

Step-by-step explanation:

12/100 * 4 = 48 meters

1 meter = 100 cm

0.48 m = x                        Cross Multiply

1*x = 0.48 * 100

x = 48 cm

Someone help with this please :)

Answers

Answer:

cos 62° = Adjacent / hypochondrium

[tex] \cos 62° = \frac{y}{35} [/tex]

y= cos 62° × 35

y = 16.43

y=16

cos 62° = 16/35

Layla and Bobby are making potholders with their grandmother. They have a total of 1.5 yards of fabric they can use, and it takes one-eighth of a yard to make each potholder. What is the maximum number of potholders they can make?

Answers

in order to solve this, realize that there are 8 1/8ths in a yard. because you have 1.5 yards, you just multiply 1.5 by 8! then you have an answer.

At the dress shop, Sherry is building buttons into packages. She has reached the 867 th button and is packing the 34 th package when she is asked to take her lunch break . She needs to note the number of buttons that are in the package so when she returned she will continue she will continue . How many buttons does package 34 contain? dont send in file explain plz​

Answers

Answer:

9 buttons in package 34

Step-by-step explanation:

There are 26 buttons in each box.

26 * 33 = 858 for the first 33 full boxes

867 - 858 = 9 buttons in the 34th box

B = buttons per box

33*B<867 --> B < 26.27

34*B>867 --> B > 25.5

So 25.5 < B < 26.27, therefore B = 26 buttons per box

Pls help me on this lol

Answers

Answer:

I think that this will help you out.

Step-by-step explanation:

A die has 6 faces numbered 1 to 6.On a single roll of die,find the probability of not getting the number 6

Answers

Step-by-step explanation:

probability of not getting six=5/6

is your answer

Use the formula w = to find the value of the missing variable.
T
radians. w
radian per min

Answers

Answer:

Step-by-step explanation:

What is the product of (3a)(-6b)(-4)?

Answers

The answer is: 72ab

Explanation:

-6b x -4= 24b (because two negatives make a positive)

24b x 3a= 72ab

Solving right triangles

Answers

Answer:

i can see the actual question, what is it?

In right triangles one of the angles will always be 90 degrees.

So if you had a right triangle with one right angle, a number, and a number, they always have to add up to 90 degrees as well, because a triangle is always 180 degrees

so  

side a = 90side b = xside c = yx + y = 90x + y + 90 = 180

what does the challenges do?

Answers

Answer:

question that must be answered in a given time for a lot of points

Answer:

so if you do them the percentages will increase and you will get points so gou can ask questions i did one and spent all 100 just for someone to translate im s-t-u-p-i-d and then i commented no youre not

help me please question in the picture...

Answers

Answer:

Obtuse triangle

Step-by-step explanation:

Obtuse triangle has one of its angle measure bigger than 90 degrees and the given measures are 25, 135, and 20 so the correct answer is obtuse.

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