From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 27 kilometers, and the eastbound train has traveled 36 kilometers. How far apart are the two trains, measured in a straight line?

Answers

Answer 1

Answer: the eastbound train had travelled 12 miles
Explanation: using Pythagoras theorem, we know that
X^2 = a^2 + b^2
Where ^ stands for raised to power.
Let
a stand for the train going towards North and
b stands for the train going towards east.
X stands for the total distance between train a and b = 20 miles.
By Pythagoras rule
X^2 = a^2 + b^2
20^2 = 16^2 + b^2
400 = 256 + b^2 so that
b^2 = 400 - 256 = 144
b = √144
b = 12 miles.

Related Questions

There are 18 black socks and 12 navy socks in your drawer. The room is dark and you can't turn on the light. What is the least number of socks that you have to take you of the drawer to be certain that you have a pair of the same color? The solution is a number.

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

The largest number you can take without having a pair is the number of colors, 2. One more sock must match one already in hand.

You must take one more than the number of colors:

  2 + 1 = 3

You must take 3 socks to be certain of a pair the same color.

Freddy usa gráfica para resolver el sistema de ecuaciones piensa 2 líneas que son gráficas de ecuaciones se cruzan en el punto 1,5 esta coordenada está en la forma número de pasos diarios número de pases de temporada o (d,s)

Freddy quiere comprobar su respuesta sustituyendo el punto 1,5 en ambas ecuaciones

arrestre de los mosaicos a las ranuras apropiadas para verfificar si este punto es una solución de sistema de ecuaciones

el punto 1,5 una solución a la ecuación d+s = 6 el punto 1,5 una solución la ecuación 10d + 28s = 78
el punto 1,5una solución sistema de ecuaciones ​

Answers

Answer:

hzhjjssiaiihdhkyegkzjdhdmkdkdldldlzññzkjzjdjjdjkdkdjjjdjcjhjkRfhhdgdududidudgffhzfhffffxxhjfy

Find the area of the rectangle.

a rectangle with a side length of three eighths and a side width of five sevenths. The lengths are measured in meters

Answers

the answers is 15/56 meters

Maddox has $12.25 to spend on sports
drinks. Each drink costs $1.75. Use the
guess, check, and revise strategy to solve
the equation 1.75d = $12.25 to find d, the
number of drinks Maddox can buy.

Answers

your answer would be 7, maddox can buy 7 things

NEED HELP ASAP!!!!!!!!!!!!!!!!!

Answers

Answer:

I think it is 6 sorry if it is wrong

Step-by-step explanation:

;-;

Answer:

Since 3^5 is equal to 243, that means if you were to evaluate 3^5, the answer would be 243. That means it would be very easy to evaluate as the answer is already stated to be equal to 243.

Please help, I don't understand how to do this equation

Answers

Answer: B) -1/3i

Step-by-step explanation: 81(-1/3i)^4

Answer:

Step-by-step explanation:

81x^4=1

x^4=1/81

(x^4)^(1/4)=(1/81)^(1/4)

x=+\-1/3

so -1/3 is a solution

under the scale factor of the dilation (with center at the origin )if point U (6,2) becomes U' (12,4) ?

Answers

Answer:

im assuming that it it went up 6,2 and prolly has a pattern and that this is just a graph problem

Step-by-step explanation:

Answer:

umm i dont knowe sorry

Step-by-step explanation:

2x + (3)(x) + (3)(4)

Answers

Answer:

if you were looking for the solution i think it is Solution

5 + 1 2

Step-by-step explanation:

Answer:

the answer is 5x + 12

Step-by-step explanation:

because its the tight answer.

Need help with mymathlab problem

Answers

Answer:

not question no answer

Step-by-step explanation:

sana po magets nyo po

The scale of a model train is 1 inch to 13.5teet One of the cars of the model train is 5 inches long-
What is the length, in feet, of the actual car?
Show work

Answers

Given :

The scale of a model train is 1 inch to 13.5 feet.

One of the cars of the model train is 5 inches long.

To Find :

The length, in feet, of the actual car.

Solution :

It is given that scale of the model is 1 inch to 13.5 feet. It means that 1 inch in the actual scale is equal to 13.5 feet in real.

So, length of car real is :

Length = 5 × 13.5 feet

Length = 67.5 feet

Therefore, the length of the actual car is 67.5 feet.

Find the product of the monomial and the polynomial:
−3a·(7a^2−4)

Answers

Answer:

[tex]-21a^{3}+12a[/tex]

Step-by-step explanation:

We are given that

[tex]-3a\cdot (7a^2-4)[/tex]

We have to find the product .

To find the product we will multiply -3a with each term given in the bracket

[tex]-3a(7a^2)-3a(-4)[/tex]

[tex]-21a^{1+2}+12a[/tex]

By using the formula

[tex]a^{x}\cdot a^{y}=a^{x+y}[/tex]

[tex]-21a^{3}+12a[/tex]

Hence,

[tex]-3a\cdot (7a^2-4)=-21a^{3}+12a[/tex]

what integer best represents a withdraw of $40. please hurry its due asap.
thanks so much​

Answers

Answer:

-40 your welcome

Step-by-step explanation:

please helpppp and explain

Answers

Answer:

angle BAC=50-2x

Step-by-step explanation:

angle ACD=115+x

then, angle ACB=180-(115+x)   because it is a supplementary angle

angle ABC=angle ACB because it is an isosceles triangle

angle BAC=180-2[180-(115+x)]

angle BAC=180-360+230-2x

angle BAC=50-2x

Standard Questions
1
2
N
Question Progress
Rearrange t = 5s + 4 to make s the subject.​

Answers

Answer:

[tex]s = \frac{1}{5}t - \frac{4}{5}[/tex]

Step-by-step explanation:

Subtract 4 and divide by 5 to obtain

[tex]t=5s + 4\\s = \frac{t-4}{5}\\s = \frac{1}{5}t - \frac{4}{5}[/tex]

Constructed Response you have an economic decision to make. You have $50.00 to spend. Should you purchase sports equipment to use at home, a ticket to attend a professional sporting event, or sports memorabilia for your football collection ?

Answers

Answer:

Step-by-step explanation:

From a business standpoint, I think the smartest decision would be either the sports equipment or the memorabilia. Each has pros and cons so it depends on you. The sporting event would be the worst option as it is something that can most likely be viewed for free online. The sporting equipment will still hold monetary value and can be resold as well as providing you with other value if used properly such as being healthier and/or putting on muscle. The Sports Memorabilia would not provide real life value but may increase in monetary value and have a much higher resale value than the equipment.

Write the an equation of a line that is perpendicular to y= 1/3x + 5 and intersects it at the y intercept

Answers

Answer:

y = -3x + 5

Step-by-step explanation:

For two lines to be perpendicular, the product of their slope must be -1.

Slope of the given line M = 1/3

Slope of the required line is m

If product is -1, then;

Mm = -1

1/3 m = -1

m = -3

SInce it intersects at the y intercept, y intercept c = 5

Get the required equation. Substitute m = -3 and c = 5 into the equation

y = mx+c

y = -3x + 5

Hence the required equation of the line is y = -3x + 5

3 cans of pepsi costs £2.40. The cost is
directly proportional to the number of cans.
How much will 7 cost?

Answers

£2.40 divided by 3 = 80p
Each can is 80p, so 7 cans is £5.60
7 cans will equal £5.60


Drag and Drop the right answer in the answers below.
CAT ~ DOG

Answers

Answer:

Do ,Ct, OG hope it helps have a nice day

The answer is CA=DO DG=CT AT=OG

Hope this helps

Have a great day/night

f(x) =
4/x²+1
Asymptotes

Answers

Answer:

vertical asymptotes at

x

=

±

1

horizontal asymptote at

y

=

0

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non-zero for these values then they are vertical asymptotes.

solve:

x

2

1

=

0

x

2

=

1

x

=

±

1

x

=

1

and

x

=

1

are the asymptotes

Horizontal asymptotes occur as

lim

x

±

,

f

(

x

)

c

(a constant)

divide terms on numerator/denominator by the highest power of x, that is

x

2

f

(

x

)

=

4

x

x

2

x

2

x

2

1

x

2

=

4

x

1

1

x

2

as

x

±

,

f

(

x

)

0

1

0

y

=

0

is the asymptote

Oblique asymptotes occur when the degree of the numerator > degree of the denominator. This is not the case here (numerator-degree 1 , denominator-degree 2) Hence there are no oblique asymptotes.

graph{(4x)/(x^2-1) [-10, 10, -5, 5]}

The graph shows the number of cups of coffee Sherwin consumed in one day and the number of hours he slept that same night:

A scatter plot is shown. Data points are located at 1 and 9, 3 and 5, 5 and 6, 4 and 4, 2 and 7, and 6 and 4. A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4.
How many hours will Sherwin most likely sleep if he consumes 9 cups of coffee?
Answers-
1, because y = −x + 10
9, because y = −x + 10
2, because y = −x + 10
10, because y = −x + 10

Answers

Answer:

1, because y = -x + 10

Step-by-step explanation:

Good Luck! c:

Answer:

1, because y = −x + 10

can someone help me out with this problem ?

Answers

i believe that’s it .... i’m so so sorry if it’s not

The perimeter of the figure is 17 centimeters. Find the missing side length.

Answers

Answer:

7

Step-by-step explanation:

3+3+4=10

17-10=7

you're welcome

for A class trip, 144 students are put on 4 buses .At this rate how many students would be on 8 buses. Plz put work​

Answers

Answer: 288 students

Step-by-step explanation:

First Step: find the number of students per bus

Given

- 144 students

- 4 bus

Solve

144 students/4 buses=36 students/bus

Second Step: apply the rate to find the number of students in 8 buses

Given

- 8 buses

- 36 students/bus

Solve

8×36=288 students

Hope this helps!! :)

Please let me know if you have any questions

Help plz :)) I would appreciate it

Answers

Answer:

VW = 29

Step-by-step explanation:

Perimeter of the triangle = 82

Perimeter of the triangle = 4x + (x + 3) + (3x - 1)

4x + (x + 3) + (3x - 1) = 82

4x + x + 3 + 3x - 1 = 82

8x + 2 = 82

8x = 82 - 2

8x = 80

x = 10

VW = 3x - 1

VW = 3(10) - 1

VW = 30 - 1

VW = 29

How does paragraph 2 help to develop the main ideas of the text?
A
It argues that a university education is less important than national service,
B
It introduces the idea of giving back to society through national service,
It outlines the similarities between academic learning and national service
D
It presents some financial reasons for students to consider national service,

Answers

no one can tell you what paragraph 2 says if there’s not a picture of paragraph 2

I need heeeelp please !

Answers

P = 10m+3

To get perimeter you add all sides.. then combine like terms.

Pre Algebra Decemile 2
Y+0.9=1.4=y

Answers

If you mean. y + 0.9 + 1.4 then the answer would be

[tex]y + 2.3[/tex]

write the indicated trig ratio as a fraction

Sin K =


Answers

15/17! Feel free to clarify

Select the correct answer.​

Answers

Answer:

a

Step-by-step explanation:

i did this test and question beforer si know what it iso

What is the Slope of the segment With endpoints at (300, -2) (500, 6)?

Answers

Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

to find slope: [tex]m = \frac{y_2 - y_2}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - (-2)}{500-300} = \frac{8}{200\\}\\m = \frac{1}{25}[/tex]

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