Mathematics High School

From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 32 kilometers, and the eastbound train has traveled 24 kilometers. The two trains, measured in a straight line, are ____ kilometers apart.

Answers

Answer 1

Answer:

Step-by-step explanation:

Remark

This is just an ordinary Pythagorean Problem.

a = 32

b = 24

c = ?

Distance

a^2 + b^2 = c^2

32^2 + 24^2 = c^2

1024 + 576 = c^2

c^2 = 1600

√c^2 = √1600

c = 40

c = 40 The distance the trains are apart is 40 km

Related Questions

This is for my final grade before spring break please help me asap noww

Answers

Answer:

Bushes are $9.

Bonsai trees are $32.

Step-by-step explanation:

Bushes are b and bonsai trees are t.

15b + 8t = $391

9b + 5t = $241

15b + 8t = $391 × 3 and 9b + 5t = $241 × 5

= 45b + 24t = $1173 and 45b + 25t = $1205

(45b + 24t = $1173) - (45b + 25t = $1205)

t = 1205 - 1173

t = $32

Apply to 15b + 8t = $391.

15b + 32 × 8 = $391

15b = $391 = 32 × 8

15b = $391 - 256

15b = $135

x = ($135 ÷ 15) = $9

can someone answer these pls

Answers

Answer:

Exponential

Step-by-step explanation:

The y values are going up by a factor of 2 as x increases.

Alexis is making goodie bags for her birthday party. She has made 12 bags already.
If this is 60% of the total number of goodie bags that Alexis has to make, how many
total goodie bags does Alexis need to make for her party?

Answers

20
Needs 20 characters

Which table of ordered pairs represents a proportional relationship?A x-2 4 6 у 4 16 36 B x 4 6 8 y 8 -12 -18 C x-3 -5 -7 y 5 3 1 D x-3 -6 -9 y 12 24 36

Answers

9514 1404 393

Answer:

D x-3 -6 -9 y 12 24 36

Step-by-step explanation:

The relationship is proportional when the ratio of y to x is the same for all table entries. In selection D, that ratio is ...

12/-3 = 24/-6 = 36/-9 = -4

x cuanto multiplico 15 para q m de 100?

Answers

Answer:

1500 is your answer

Step-by-step explanation:

Answer:

no hay numero entero y el decimal es un numero infinito.

Step-by-step explanation:

si dividimos 15/100 nos da un total de 3.333+ asi que no hay un numero entero que nos de este resultado

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Answers

Answer:

B. both the median and interquartile range of math is larger than science

Step-by-step explanation:

Math: 41, 82, 87, 88, 90, 93, 94, 94, 99

Median: 90

Interquartile range: 9.5

Science: 71, 75, 75, 77, 78, 79, 79, 81, 82

Median: 78

Interquartile range: 5

Brainly for questions 4 & 5

Answers

Answer:

its a quiz you might get banned

Step-by-step explanation:

Happy Tuesday peeps brainliest and 5 star rating!!!!!!!!!!!!!!!!!

Answers

V=150.8
V=3.14*36*h/3
V=113.04*4/3
V=452.16/3
V=150.72

Determine this one algebraically

Answers

Answer:

x = 5

y = 5

Step-by-step explanation:

In this question you need to solve one equation in order to plug the value into the second one and solve it as well. Lets start with the top one...

2x - x = 5

1x = 5

x = 5

Now we plug that value of x into the second equation

4x - 2y = 10

4(5) - 2y = 10

20 - 2y = 10

-2y = -10

y = 5

Finally, we can see that both x and y have a value of 5.

Move the dot to the number that equals 7 X
6
+
+
10+
+
6
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7
0
1
4
9
نه او
+10
о сл
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6
6
R

Answers

Answer:

the answer is 21

Step-by-step explanation:

AFTER allowing 4 % discount on the marked price of an article there is a profit of 20 % if the cost price of the article is RS 800 find marked price ? plz plz plz plz plz saw plz

Answers

Answer:

Rs. 1000

Step-by-step explanation:

Let the marked price is x

Discount 4% ⇒ x - 4% = 0.96xCP = Rs. 800 Profit after discount = 20%SP = 800 + 20% = 800*1.2 = Rs. 960

Now we have below equation:

0.96x = 1.2*8000.96x = 960x = 960/0.96x = 1000

MP is Rs. 1000

prime factorisation of 8232

Answers

Answer:

2 x 2 x 2 x 3 x 7 x 7 x 7

Step-by-step explanation:

it is Wednesday my dudes

2 x 2 x 2 x 3 x 7 x 7 x 7 = 8,232

PLEASEEE HELPPP
John needs to rewrite the expression (4x^3y^5z)^2. Identify which of the following is the simplified form of the expression.
4x^5y^7z^3

4x^6y^10z

8x^5y^7z^3

16x^6y^10z^2

Answers

Answer:

16x^6y^10z^2

Step-by-step explanation:

Well without doing much math I already know that (4x^3)^2 is 16x^6 because 4*4=16 and 3*2=6.

That leaves the last answer choice.

Need help and fast this work is due soon

Answers

Answer:

2x+3=4x-7

4x-2x=-7-3

2x=-10

X=-5

When the angle of elevation of the sun is 50 degrees, a flagpole casts a shadow that is 16.8 feet long. What is the height of the flagpole to the nearest foot?

Answers

The answer is 50 degrees angle

brainliest?! plzzzzzzzzzzz

Answers

Answer:

Step-by-step explanation:

she spins it 2 times and there's 4 different spinners on the board

there's 1 * on the board so

* = 1/4

there's 1 & on the board so

& = 1/4

its 1/4 for both

so 1/4 + 1/4 = 2/8 or .25

2/8 = 1/4

Answer:

Step-by-step explanation:

What is the absolute value of -8.2

Answers

The absolute value of -8.2 would be 8.2

The absolute value will always be written as a positive number and it looks like this
|-8.2| then it becomes 8.2, the only difference it makes is it’s positive now

please answer this pdf i need the help badly and please get it right i beg of you

Answers

Answer:

1 = B

2 = 3/7

3 = B

4 = J

5 = 1/25

6 = H

7 = D

8 = G

9 = A

10 = 1/3

11 = D

Step-by-step explanation:

ben eats approximately 2,400 calories per day, his wife sarah eats 5/8 as much, how many calories does sarah eat per day?

Answers

Answer:

1,500 calories

Step-by-step explanation:

2,400 ÷ 8 = 300

300 × 5 = 1,500

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Answers

Answer:

bat dalawa po iyang gi pa question nyo

Which number represents the sum of -8 and -i?
8i
-8i
-8-i
-8 + i

Answers

The correct answer would be -8-i! :)

Answer:

Step-by-step explanation:

edge

[tex]( \frac{8}{11}) {}^{7 - 2 \times 3 - 1} [/tex]
find the answer

Answers

Answer:

Step-by-step explanation:

[tex](\frac{8}{11})^{7- 2*3 - 1} = (\frac{8}{11})^{7- 6 - 1}\\\\=(\frac{8}{11})^{7- 7}\\\\=(\frac{8}{11})^{0}\\\\=1[/tex]

CAN SOMEBODY HELP. Unscramble the words to correctly to state a fact.

Respiration usable energy cellular create cells through

Answers

Answer:

Cells create usable energy through Cellular Respiration.

Step-by-step explanation:

If you think about it, cellular respiration is the way cells make their food, or usable energy. Therefore, the answer would be up above-------------------------^^

Best answer gets brainliest

c) How many applications will your mother actually use on her new cell phone? Solve the equation you wrote in part b to find the unknown variable. (2 points)

i put this in part B (She uses 24 applications regularly)

Answers

Answer:

24 would be the correct answer.

Step-by-step explanation:

24 would be the correct answer because 2/3 x 18 + 12 = 24.

Making 2/3 the the fraction that was used and already installed.

Making 18 the number of the already installed applications

Making 12 the number of the additional installed applications.

I hope this helped!!!

What is Dario's hourly salary?

Answers

Answer:

Dario's hourly salary

is $11

Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. At week 12, how much money will Sam have saved?

Answers

Answer:

$50 + ($30 x 12) = $410

Step-by-step explanation:

Answer:

$410.00

Step-by-step explanation:

Simply expression 7(x+y)-7x

Answers

Answer:

Step-by-step explanation:

7(x + y) - 7x =

= 7x + 7y - 7x

= 7y

Answer:

Step-by-step explanation:

7(x+y)-7x=7x+7y-7x=7y

Hope this helps :)

rename this mix fraction 3 1/2

Answers

Answer:

Step-by-step explanation:

In decimal form it’s 3.5 but if you want a fraction it’s 7/2 hope this helped you sorry if it isn’t what you where looking for

Answer:

it could be 3.5 because 1/2 is half of one whole so yea haha.

A rectangular cake measures 12 inches wide, 15 inches long, and 4 inches high.

If the bottom of the cake is not frosted, how much frosting will be needed?

Answers

Answer:

B. 180

Step-by-step explanation:

Pls hyelp. Me needs hyelp palease . Preciate it. Hehehehehehehehehe

Answers

Answer:

Step-by-step explanation:

You want to factor out perfect squares if they exist.

[tex]1.\ \sqrt{36}=\sqrt{6^2}=6\\ \\ 2.\ \sqrt{40}=\sqrt{2^2(10)}=2\sqrt{10}\\ \\ 3.\ \sqrt{75}=\sqrt{3(5^2)}=5\sqrt{3}\\ \\ 4.\ \sqrt{120}=\sqrt{2^2(30)}=2\sqrt{30}\\ \\ 5.\ \sqrt{84}=\sqrt{2^2(21)}=2\sqrt{21}\\ \\ 6.\ \sqrt{48}=\sqrt{4^2(3)}=4\sqrt{3}[/tex]

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From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 32 kilometers, and the eastbound train has traveled 24 kilometers. The two trains, measured in a straight line, are ____ kilometers apart.​

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From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 32 kilometers, and the eastbound train has traveled 24 kilometers. The two trains, measured in a straight line, are ____ kilometers apart.