You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 194 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?

Answers

Answer 1

Answer:

The answer is "0.0846276476".

Step-by-step explanation:

Let all the origin(0,0) of JBLM be  

Let the y-axis be north along with the vector j unit.  

But along the + ve x-axis is east, and all along with the vector unit i.  

And at (194,-201) that undisclosed position is  

Mt. Ris (56,-40) at  

Let the moment it gets close to the Mt. rainier bet.  

Oh, then,  

If we know, the parallel to the direction from the point was its nearest one to a path to a point,

Calculating slope:

[tex]\to m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

points:  (0,0) and (194,-201)

[tex]\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03[/tex]

equation of the line:

[tex]\to y= mx+c\\\\\to y= -1.03\ x+c[/tex]

when the slope is perpendicular= [tex]-\frac{1}{m}[/tex]

                                                     [tex]= - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97[/tex]

perpendicular equation:

[tex]\to y-(-40)=0.97 \times (x-56) \\\\\to y+40=0.97 \times (x-56) \\\\[/tex]

Going to solve both of the equations to have the intersection point,  

We get to the intersect level in order to be at

(47.16,-48.5748)

so the distance from origin:

[tex]= \sqrt{(47.16^2+48.5748^2)}\\\\= \sqrt{2224.0656 + 2359.5112}\\\\=\sqrt{4583.5768}\\\\=67.7021181[/tex]

[tex]\to time =\frac{distance }{speed}[/tex]

[tex]= \frac{67.7021181}{800}\\\\= 0.0846276476[/tex]


Related Questions

Please, I need help!


The table above shows the number of trees and the number of apples that Jacob picked from each tree. Answer the following questions based on he table above

1. How many apples will Jacob pick from one tree. (calculate the unit rate).

2.Is there a proportional relationship between the number of trees and the number of apples Jacob picked? Explain using mathematical reasoning.

3. Using the unit rate, write an equation that Jacob can use to calculate how many apples he is able to pick from any tree.

4. Using your equation if Jacob had 25 trees, how many apples will he have.

Answers

1. in 1 tree, he will get 13 apples

2. yes there is a proportional relationship in the data because there are 13 apples per tree

3. y=13x (y represents the total of apples he can get in the number of trees he picked. x represents the number of trees)

4. if there were 25 trees, he would have picked 325 apples because

13*20 is 260

13*5 is 65

260+65 is 325

When Arjun makes hot cocoa, he adds 20\text{ mL}20 mL20, start text, space, m, L, end text of chocolate syrup for every 333 ounces of hot water. Arjun's brother, Eli, adds 45\text{ mL}45 mL45, start text, space, m, L, end text of chocolate syrup for every 666 ounces of hot water. Which hot cocoa is more chocolatey? Choose 1 answer: Choose 1 answer:

Answers

Answer:

45mL hot cocoa is more chocolatey

Step-by-step explanation:

When Arjun makes hot cocoa, if he add 20mL of chocolate syrup to 3ounces of water, let us know the equivalent chocolate in one ounces of water.

20mL = 3 ounces

x = 1 ounce

cross multiply

3x = 20

x = 20/3

x = 6.67 mL

This means he must have add 6.67mL of chocolate to 1 ounce of water.

Similarly, if 45mL is added to every 6 ounces

45mL = 6ounces

x = 1 ounce

cross multiply

6x = 45

x = 45/6

x =  7.5mL

This means he must have add 7.5mL of chocolate to 1 ounce of water.

The hot cocoa that is more chocolatey is the one with the highest amount of chocolate in 1 ounce. That is 45mL hot cocoa

Answer:

eli's cocoa is more chocolately. i would show proof (on khan academy), but I just skipped the q. :|

Step-by-step explanation:

2 5. 8 11 X 2 -4 8 у 14 What is the equation of the given table?​

Answers

Answer:

8-6+-2

Step-by-step explanation:

Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20 on the first item they sell, how much profit will Joe make?

Answers

Joe will make a $8.00 profit

A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.

SCREENSHOT OF GRAPH! HELP

Answers

Answer:

0.5 cm

Step-by-step explanation:

We are looking for how much height is gained per cup added.

Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).

Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (3, 5.5) = (x_1, y_1) [/tex]

[tex] (8, 8) = (x_2, y_2) [/tex]

[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]

[tex] m = \frac{2.5}{5} [/tex]

[tex] m = 0.5 [/tex]

0.5 cm is gained per cup added.

The rise in height per cup will be 0.5 cm.

Given information:

The given graph displays the height of the stack in centimeters for different numbers of cups.

The given points on the graph are (3,5.5) and (8,8).

Now, the slope of the line joining these two-point will give the rise per cup.

So, the slope will be calculated as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]

So, the slope is 0.5 centimeters per cup.

Therefore, the rise in height per cup will be 0.5 cm.

For more details, refer to the link:

https://brainly.com/question/18896190

Would you rather discover alien life or an animal that was thought to be extinct?

Answers

[tex]\boxed{I\; would\; say\; an\; animal\; that\; was\; thought\; to\; be\; extinct.}[/tex]    

≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈

The reason i say this is because i don't really want to run into something that i don't know much about. I do know quite a bit about extinct animals more than i do aliens. So, that's my reasoning.

≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈

[tex]\boxed{Hope\;i\;helped!}\\\\\boxed{Thanks,\;AnimeBrainly}[/tex]

The area of this field is about 500,000 m2. What is the field's area to the nearest square meter? Assume that the side lengths of the square are exactly 800m.​

Answers

Answer:

502,655[tex]m{2}[/tex]

Step-by-step explanation:

field's area to the nearest square is 1,40,000 m².

What is the area of composite shapes?

The area of composite shapes is the area that any composite shape covers. A composite shape is one that is made up of a few polygons that are joined together to make the desired shape. These forms or figures can be constructed out of triangles, squares, quadrilaterals, and so on. To calculate the area of a composite shape, divide it into fundamental shapes such as squares, triangles, rectangles, hexagons, and so on.

Given area of the circular field is 500,000 m². and also given the side of a square around it which is 800 m.

Hence, the area of the square is 640,000 m².

Therefore the remaining area of the space is 1,40,000 m².

Learn more about the area of composite shapes here:

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help me..i’m not sure what to do

Answers

Answer:

$41,500

Step-by-step explanation:

In order to find net worth you must subtract the persons liabilities from the persons assets. Therefore, $113,000 - $71,500 = $41,500.

Hope this helps! Have an excellent day mate!

for how many tickets is the cost the same for club members and non-members?​

Answers

Answer:

The cost will be the same for 2 club members as for 1 non-member.

Step-by-step explanation:

There will never be a number of tickets where the price for a given number of club members is the same for the same number of non-members.

However, if two club members purchase tickets, their cost is 2($3) = $6.

If one non-member purchases a ticket, the cost is 1($6) = $6.

Gianna earned $466.90 at her job when she worked for 23 hours. How much money did she earn each hour?

Answers

Answer:

About $20.30

Step-by-step explanation:

$466.90 divided by 23.

$20.30

You need to divide 466.90 which is the total amount for 23 hours and then divide that by 23

help TWT ;-;-;-;-;-;-;​

Answers

Answer:1

Step-by-step explanation:

Answer:

the answer is 1

Step-by-step explanation:

The cooking club made some pies to sell during lunch to raise money for a field trip. The cafeteria helped by donating 3 pies to the club. Each pie was then cut into 6 pieces and sold. There were a total of 72 pieces to sell. How many pies did the cooking club bake?

Answers

Answer:

9 pies

Step-by-step explanation:

From the question, we were given,

Number of pies = 3

Number of pieces cut from each pie = 6

Given total number of pieces to sell = 72

But the Number of pieces from 3 pies = 3×6

=18

so, Number of pieces the club needed to make is given = 72-18= 54

Since each pie is cut into 6 pieces

And number of extra pieces needed = 54

Then the number of pies the cooking club bake is 54/6= 9 pies

Therefore, the club bake 9pies

people wont solve my question i need it ASAP

Answers

Answer:

A pig has 10,000 kg mass more than a mass

Step-by-step explanation:

[tex]\frac{2*10^{2}}{2*10^{10}}=\frac{10^{2}}{10^{-2}}\\\\=10^{2}*10^{2}\\\\=10^{2+2}\\\\=10^{4}\\\\=10000[/tex]

(1,6) (3,4) what’s the slope?

Answers

Answer: m = -1

The slope is -1

Plz mark brainliest:)

Slope is -1

Have a great day

27x + 18y + 30 Lol pls help I’m gonna fail

Answers

Answer:

[tex]=27x + 18y + 30[/tex] fr it's the real answer

Step-by-step explanation:

hope it helps u won't fail(maybe)

leave a like

and if u can mark brainliest

A can run 3 miles in 30 minutes. How long will it take
the runner to run 2.5 miles? Use the diagram to explain.

Answers

Answer:

It will take her about 25 minutes.

Step-by-step explanation:

30 divided by 3 is ten.

It takes ten minutes to run each miles.

I don't have a diagram, but try drawing a graph with the information.  

what is the equation of a line parallel to y=3x-2 and goes through the point (-1,1)

Answers

Answer:

y = 3 x − 29

Step-by-step explanation:

First, let's find the slope of the line  

y = 3 x + 2

As the equation is already in slope-intercept form  

y = m x + c

Slope =  3

Let a point  ( x , y )  be on the new line.

By finding the slope again,

y − 1 x − 10 = 3

y − 1 = 3 ( x − 10 )

y − 1 = 3 x − 30

Which can then be converted to different forms:

Standard form:  

3 x − y = 29

Equation form:  

3 x − y−29 = 0

Slope-intercept form:  

y = 3 x − 29

graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}

Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as far as he rode the day before. How far should he ride on each of the four days. Write the expressions for the distance Gavin needs to bike each day. Then relate these expressions to create an equation that represents Gavin's situation.

Answers

Step-by-step explanation:

let the first-day ride be x

Then the second-day ride will be =1.5 x

The third-day ride will be=1.5(1.5x)      

The Fourth-day ride will be=1.5*1.5(1.5x)  

hence for the four days the distance covered is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

divide both sides by 8.125 we have

x=65/8.125

x=8mile

the first-day ride be x=8miles

the second-day ride will be =1.5 x =1.5*8= 12miles

The third-day ride will be=1.5(1.5x) = 18miles

The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles

· Evaluate f(2a + b), where f(x) = 4x2 – 3x.​

Answers

Answer:

2af+bf = 2af+bf

Step-by-step explanation

f(x) = 4x2 – 3x. =  x(4x−3)

Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 8 grandchildren. How many cookies did Cindy receive?

Answers

Answer:

Cindy get (12-c) amount while others get 12 cookies

Step-by-step explanation:

From the question we are informed that Grandma baked 96 cookies

And there are 8 Number of grandchildren available

But the cookies must be divided equally among this grandchildren to calculate the number of cookies each of them get we have,

= 96 cookies baked/8 Number of grandchildren available

= 12 cookies

Which means each get 12 cookies

But

Cindy received less cookies with less C amount.

Then Cindy own will be( 12-c) cookies

Therefore Cindy get (12-c) amount while others get 12 cookies

Answer:

12-c

Step-by-step explanation:

Khan academy unit test, 7th grade math.

help please !!! show work​

Answers

Answer:

y = [tex]\frac{2w}{x^{2}}[/tex]

Step-by-step explanation:

To solve an equation for one of its variable do that

Underline the variableSeparate it on one side and the other terms on the other sideMake its coefficient equal 1

Let us use these steps to solve our question

∵ w = [tex]\frac{1}{2}[/tex] x²y

→ Underline y

∴ w = [tex]\frac{1}{2}[/tex] x²y

→ Multiply both sides by 2 to cancel the denominator 2

∵ 2 × w = 2 ×  [tex]\frac{1}{2}[/tex] x²y

∴ 2w = x²y

→ Divide both sides by x² to move it to the left side

∵ [tex]\frac{2w}{x^{2}}[/tex] = [tex]\frac{x^{2}y}{x^{2}}[/tex]

∴  [tex]\frac{2w}{x^{2}}[/tex] =  y

→ Switch the two sides

y = [tex]\frac{2w}{x^{2}}[/tex]

C Evaluate 7 . 2.7. 5 using the properties of numbers by matching each step with the property used. = 7.7.2.5 Choose... = (7-7) (2 - 5) Choose... = 49 - 10 Distributive Property Fir Commutative Property Please answer all parts of Closure Property Transitive Property Simplify. Associative Property 7.2 7.5= Substitution Property​

Answers

Answer:um this is hard i will give you the answer give me a sec

Step-by-step explanation:

i feel bad for asking a longer question but i'm really in need of help to finish my test review its a big grade and i'm struggling on this problem

Answers

I think what you would have to put is divide so split the total of the tickets and that how much and plssss give me brain list

In the video game Fantasy Farm, it takes 5 6 6 5 ​ start fraction, 5, divided by, 6, end fraction of a minute to harvest magic flowers, and it takes 5 6 6 5 ​ start fraction, 5, divided by, 6, end fraction of an hour to build a golden barn. Which takes more time?

Answers

Answer:

Building gold barn takes more time

Step-by-step explanation:

Time to harvest magic flowers = 5/6 of a minutes

Time to build a gold barn = 5 / 6 of an hour

1 hour = 60 minutes

Time to build a gold barn = 5 / 6 of 60 minutes

= 5/6 × 60 minutes

= 50 minutes

= 50 minutes × 60 seconds

= 3,000 seconds

Time to harvest magic flowers = 5/6 of a minutes

1 minutes = 60 seconds

= 5/6 × 60 seconds

= 50 seconds

Building gold barn takes more time

In the House of Commons, citizens elect their members. Of the 800 members, 530 are from England, 120 are from Wales, 100 are from Scotland and 50 are from Northern Ireland. What is the percentage of members from Wales?

Answers

Answer:

15%

I like your demon slayer profile picture

Answer:

The answer is 15%.

Step-by-step explanation:

If 100 is 10% it only makes since that 15% is the right answer.

Hope This Helps!

A youth group is selling snacks to raise money to attend their convention. Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. What is the cost of each item

Answers

Answer:

The cost of a can of popcorn is $10.

The cost of a box of cookies is $5.

The cost of a can of popcorn is $20

Step-by-step explanation:

First you must propose a system of equations, a set of two or more equations with several unknowns in which you want to find the value of each unknown so that all the equations of the system are fulfilled.

Defining the variables:

x: cost of one pound of candyy: cost of a box of cookiesz: cost of a can of popcorn

Amy sold 2 pounds of candy, 3 boxes of cookies and 1 can of popcorn for a total sale of $65. Then:

2*x + 3*y + 1*z=65 Equation 1

Brian sold 4 pounds of candy, 6 boxes of cookies and 3 cans of popcorn for a total sale of $140. So:

4*x + 6*y + 3*z=140 Equation 2

Paulina sold 8 pounds of candy, 8 boxes of cookies and 5 cans of popcorn for a total sales of $250. Then:

8*x + 8*y + 5*z=250 Equation 3

Then the system of equations is formed by these three equations.

A method to solve a system of equations is by means of the substitution method, which consists of isolating one of the two unknowns in an equation to substitute it in the other equation.

Isolating z from Equation 1:

[tex]z=65-2*x-3*y[/tex] Equation 4

Replacing in Equation 2:

4*x + 6*y + 3*(65 -2*x-3*y)=140

4*x + 6*y + 195 - 6*x  - 9*y= 140

-2*x - 3*y=140-195

-2*x - 3*y=-55

2*x + 3*y= 55

and isolating x:

[tex]x=\frac{55-3*y}{2}[/tex] Equation 5

Replacing in Equation 4:

[tex]z=65-2*\frac{55-3*y}{2} -3*y[/tex]

z=65 - (55-3*y) - 3*y

z= 65 -55 + 3*y - 3*y

z= 10

So the cost of a can of popcorn is $10.

Replacing equation 5 and the value of z in equation 3:

8*[tex]\frac{55-3*y}{2}[/tex] + 8*y + 5*10=250

[tex]\frac{8}{2}[/tex]*(55 -3*y)+ 8*y + 5*10=250

4*(55 -3*y)+ 8*y + 5*10=250

4*55 - 4*3*y + 8*y + 50=250

220 - 12*y + 8*y + 50=250

-12*y + 8*y= 250 -220 - 50

-4*y= -20

[tex]y=\frac{-20}{-4}[/tex]

y= 5

So the cost of a box of cookies is $5.

Finally replacing the value of y in Equation 5 you get the value of x:

[tex]x=\frac{55-3*5}{2}[/tex]

[tex]x=\frac{55-15}{2}[/tex]

[tex]x=\frac{40}{2}[/tex]

x=20

Finally, the cost of a can of popcorn is $20

What is the slope-intercept equation
for the following line?
y = -2x + [?]
What is the intercept?

Answers

Answer:

y = -1/2x - 3

Step-by-step explanation:

what is the slope of a line perpendicular to the line whose equation is 9x+3y=-27

Answers

Answer:

y = (1/3)x - 27 <-- perpendicular line

Step-by-step explanation:

9x + 3y = (-27)

3x + y = (-27)

y = (-3x) - 27 <-- original line

y = (-3x) - 27 <-- original line

slope = (-3)

slope = (-3/1)

inverse = (1/-3)

negative inverse = (1/3)

y = (1/3)x - 27 <-- perpendicular line

Does a triangle with these side lengths exist 15,12,9

Answers

Answer:

Yes it does exist

Step-by-step explanation:

You must be able to add any two sides and get a number greater than the third side in order to be considered a triangle.

In this case that is possible.

Hope this helps!

Triangle A has side lengths 3,4 and 6. Triangle B had side lengths 6,8 and 12 triangle A and B are?

Answers

Answer:

Similar

Step-by-step explanation:

Both triangles have corresponding sides, so they are similar.

The two triangles A and B are similar to each other.

What is the similarity?

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Given that triangle, A has side lengths 3,4, and 6. Triangle B had side lengths 6,8 and 12.

The second triangle is dilated by factor 2. This means in triangle B the sides are two times the side of triangle A.

Therefore, the two triangles A and B are similar to each other.

To know more about similarities follow

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