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

How do you write 8.43 × 10^-4 in standard form?

Answers

Answer:

0.000843

Step-by-step explanation:

simplify the expression:

8.43 × 0.0001

now simplify:

0.000843

If you find my answer helpful

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A grocery store sells a bag of 6 oranges for $3.30. What is the unit cost?

Answers

Answer:19.8$

Step-by-step explanation:

What is the average speed in miles per hour of a car that travels 961.95 miles in 15.9 hours.

Answers

Answer:

60.5 miles per hour

Step-by-step explanation:

Take the miles driven and divide by the hours

961.95 miles/15.9hours

60.5 miles per hour

Answer:

60.5 miles per hour

Step-by-step explanation:

961.95 divided by 15.9 should give you your answer which is 60.5

the nth term of a sequence is 3n squared divided by 2 what is the second term of the sequence?

Answers

Answer:

6.

Step-by-step explanation:

f(n)=3n²/2

f(2)=3(2²)/2

f(2)=3(4)/2

f(2)=12/2

f(2)=6

The second term of the sequence 3n²/2 is 6.

What is substitution?

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

Given, The nth term of a sequence is 3n²/2.

Let f(n) = 3n²/2.

Now, to obtain the second term of the sequence can be obtained by replacing n with 2.

∴ f(2) = 3(2)²/2.

f(2) = (3×4)/2.

f(2) = 12/2.

f(2) = 6.

learn more about sequences here :

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An art gallery owner purchases art at flea markets and sells the art for a 14% profit in the gallery. If the owner purchases a piece of art for $885 at a flea market, what will be its selling price in the gallery?

Answers

Answer:

$1008.9

Step-by-step explanation:

Given

Cost of piece of art = $885

Percent profit made = 14%

Profit amount = 14% of $885

Profit amount = 14/100×885

Profit amount = 12390/100

Profit amounts to $123.90

Selling price = cost price + profit amount

Selling price = $885+$123.90

Selling price = $1008.9

Hence the selling price for the art at the gallery is $1008.9

Answer:

$1008.9

Step-by-step explanation:

In the image above, what do the red arrows on lines mean?

Answers

Answer: ............................Step-by-step explanation:You need to attach an image

Can you guys help please!! Due very soon!

Answers

the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.

Hope thishelps!

The y intercept is (0,2) because that’s where the line intercepts the y axis

-(x-7) + (5/3) = 2(x+9) wht does x equal

Answers

Answer:

-28/3=x

Step-by-step explanation:

-(x-7) + (5/3) = 2(x+9)

-x+7+5/3=2x+18

7+5/3=2x+18-x

7+5/3=x+18

5/3=x+18-7

5/3=x+11

5/3-11=x

Ahora todo se pasa a base 3

[tex]\frac{5-33}{3}[/tex]=x

-28/3=x

what is 19 percent in decimal?​

Answers

Answer:

0.19

Step-by-step explanation:

Answer:

0.19

Step-by-step explanation:

divide 19 by 100 (do this because percent basically means "per 100". anything you want to convert into a decimal is going to be out of 100, so you always divide by 100 when converting percent to decimal.

you will end up with 0.19

hope this helps you :)

Translate the equation into a verbal sentence 3y+8=32

Answers

Answer:

32 Is Eight More Than 3 Times A Number

Explanation:

32 Is Eight More Than: + 8 = 32

3 Times A Number: 3y

Put Everything Together: 3y + 8 = 32

Step-by-step explanation:

Hey there!

3y+8 = 32 --> The sum of thrice of a number and 8 is 32.

Reason:

When solving this word problem, we let "x" as variable as there is unknown number.After that as in word problem it says "thrice a number" it gives 3x.Then as there is "the sum of the unknown number and 8" it means 3x+8.Lastly the sum would be equal to 3x+8=32.

So, the word problem for this equation is " The sum of thrice of a number and 8 is 32.

Hope it helps...

You can drive 607.5 miles with 15 gallons of gas. How many miles can you drive with 1 gallon of gas?
Screenshot below

Answers

Answer:

40.5

Step-by-step explanation:

Since there's no converting, you can just divide 607.5 by 15 to get the answer

What’s is the answer to 9^11 divided by 9

Answers

well you would type in 9^11 on your calc, then divide the ans by 9 resulting in

3486784401

Answer: 3,486,784,401

Step-by-step explanation:

9 raised to the 11th power is 31,381,059,609

Then divide that by 9 to get 3,486,784,401

Show work.

Simplify 5! 3! / 2! 2!

Answers

Answer:

Simplify the expression.

Exact Form:

41 /12

Decimal Form:

3.41 6

Mixed Number Form:

3  5 /12

If the number of gallons of gas is known, can you find the number of miles driven?
Explain how this value could be calculated.

PLEASE SOMEONE HELP ME!!!!!!

Answers

Answer:

It cant

Step-by-step explanation:

car use gas at differnt rates

It can’t
Cars use gas at different rates

−38÷7/12 another math question.

Answers

Answer:

-0.45238095238

Step-by-step explanation:

-38 divided by 7/12= -0.45238095238

y=3x-5 identify y intercept within equation

Answers

Answer: -5

Step-by-step explanation: alrite so when u graph it, the line crosses -5 on the y axis

Answer: -5

Step-by-step explanation:

When written in slope intercept form, which is y=Mx+b, b is the y intercept so in this case it would be -5

Math help please I have no idea how to solve this it’s confusing me I searched a video and I’m still confused :(

Answers

Answer:

57°

Step-by-step explanation:

A triangle's angles should all add up to 180°

So you have to add up the other two given angles, so in this case it is 60° + 63°, which equals 123°. Then you subtract 123 ° from 180°, giving you the answer of 57°.

Answer:

it's 57

Step-by-step explanation:

the 3 angles add up to 180 so add the 2 angles together to get 123 and then subtract that from 180

a number multiplied by 5 and increased by 7 the result is 62

Answers

Answer:11

Step-by-step explanation: subtract 7 from 62, which give you 55, divide by 5 which gives you 11.

Answer:

Step-by-step explanation:

5X+7=62

5X=55

X=11

 

Solve for x number 9​

Answers

Answer:a

Step-by-step explanation:

Answer: B

Solving Steps:

Help me please I need to answer this

Answers

Answer:

it is $150 in three months

Answer:

$50 per month

Step-by-step explanation:

After 3 months there's $150, and after 6 months there's 300. When averaged out (150/3 and 300/6), both equal 50, meaning the constant rate of change is $50 a month.

What was the error in this equation?

Answers

Answer:

The error is the solution.

The solution is all real numbers, or infinite amount of solutions.

Step-by-step explanation:

Step 1: Write equation

-4(2n - 3) = 12 - 8n

Step 2: Solve for n

Distribute -4: -8n + 12 = 12 - 8nSubtract 12 on both sides: -8n = -8nAdd 8n to both sides: 0 = 0

Here we see that n can equal any number. If you plug in any number n, it will render the equation true. Therefore, our solution is n = infinite amount of solutions.

n = 0 is only slightly correct. 0 does work as the solution, but there are solutions as well.

You deposit $900 in a savings account that earns a simple interest rate of 4.5% per year. You calculate you will earn $1215 in interest over 3 years. Is your answer reasonable?

A. Yes; the interest will be much less than the total in the account

B. No; the interest will be much less than the total in the account.

C. No; the interest will be more than the total in the account.

D. Yes; the interest will be more than the total in the account.

Answers

Answer:

a..

Step-by-step explanation:

yes the interest  will be much less than total than the account

The answer is not reasonable because the interest will be much less than the total in the account.

In order to determine if the answer is reasonable, we have to determine the simple interest that would be earned and the total amount in the account.

Simple interest = amount deposited x time x interest rate

$900 x 0.045 x 3 = $121.50

The total amount in the account in three years = amount deposited + interest earned

$900 + $121.50 = $1021.50.

To learn more about simple interest, please check: brainly.com/question/9352088?referrer=searchResults

A new car is purchased for 24800 dollars. The value of the car depreciates at 7.25% per year. To the nearest tenth of a year, how long will it be until the value of the car is 9000 dollars?

Answers

Answer:

pretty sure the answer is 13.5 years. sorry if wrong

Step-by-step explanation:

it’ll take 13.5 years for the car value to be $9000

2m=-6n-5

Solve for M

Answers

Hey :)


m= -3n -5/2

The equation is in standard form
2m = −6n −5


Divide both sides by 2
2m/2 = -6n-5/2


Dividing by 2 undoes the multiplication by 2
m= -6n -5/ 2


Divide −6n−5 by 2
m= -3n -5/2

Hope this helps :)

m= -3n -5/2

What is mathematical equation?

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.

In the given equation,

2m = −6n −5

Divide by 2 on both sides, we get

2m/2 = −6n/2 −5/2

m = -3n - 5/2

Therefore, our value of m is in terms of n, which is -3n - 5/2

Read more about mathematical equation here:

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WHAT IS FUN ABOUT MATH

Answers

Answer:

Maths is universally common. People in every country use maths and all its branches. ... Give it a try, look around you, measure something, solve a sum, count something and there are so many more ways you can start knowing maths. Maths is interesting, it's just numbers to play with.

Answer:

what's fun about math is when you figure out the equations and questions.

Which equation represents the line that is parallel to 5x +y = 13 and passes through the point (15,-31)? ​ Show complete working format please

Answers

Answer:

Step-by-step explanation:

y = -5x + 13

y + 31 = -5(x - 15)

y + 31 = -5x + 75

y = -5x + 44

Adriana y Andrés caminan juntos todos los días. El recorre 150 metros y ella 100 metros por cada minuto de caminata. ¿Cuál es la distancia que recorre cada uno después de 3,6,8,9 y 10 minutos?

Answers

Answer:

hi  o whae your  ayt fk hbod

Step-by-step explanation:

For each value of x, determine whether it is a solution to x - 42 = 7.​

Answers

Answer:

67- No  46-No   49-Yes   47-No

Step-by-step explanation:

Hope this helps!

Answer:

67...No

46...No

49...Yes

47...No

Step-by-step explanation:

x - 42 = 7

Add 42 to both sides

x = 49

find the value of the height of the tree.

Answers

Answer:

20 ft

Step-by-step explanation:

First we must find out what the scale factor is.

26 / 6.5 = 4

the scale factor is 4.

Now we must multiply 5 by 4 to find x.

5 * 4 = x

20 = x

x = 20

The height of the tree is 20 ft.

Q5.
Here are two fractions.
7/5 and 5/7

Work out which of the fractions is closer to 1
You must show all your working.​

Answers

Answer:

5/7

Step-by-step explanation:

You can convert them to fractions to answer:

7/5=1.4

5/7=0.714

7/5 is 0.4 away from 1, while 5/7 is 0.3 away.

Answer:

5/7 is closer

Step-by-step explanation:

7/5= 49/35=1 14/35

5/7= 25/35

7/5 is 14/35 away from one whereas 5/7 is 10/35 away.

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