2 trains leave from the same point and travel along straight tracks that differ in direction by 72゚. If their speeds are 64 miles per hour and 52 miles per hour approximate how far apart they will be after 30 minutes

Answers

Answer 1

Answer:

34.44 miles

Step-by-step explanation:

Distance covered bty the two trains :

Distance = speed * time

Time = 30 minutes = 0.5hr

Distance of train 1 = 64 * 0.5 = 32 miles

Distance of train 2 = 52 * 0.5 = 26 miles

Included Angle = 72°

Using cosine rule :

a² = b² + c² - 2bcCosA

Let Distance between the trains after 30 minutes = a

a^2 = 32^2 + 26^2 - 2(32)(26) * Cos(72)

a^2 = 1700 - 514.20427

a^2 = 1185.7957

a = sqrt(1185.7957)

a = 34.435

a = 34.44 miles


Related Questions

3) Jackson ate a chocolate bar in 2 1/2 minutes. How much of the bar did he eat
in one minute?

I DESPERATELY NEED HELPPPP

Answers

Answer:

0.4 of the chocolate bar.

Step-by-step explanation:

7. A train which is 100 meters long is traveling at a speed of 90 km per hour. How many
seconds will it take for this train to pass completely through a 300 meter tunnel?
A 4
B 8
C 12
D 16
E 20

The answer is D, 16. How do you get 16 tho?

Answers

Answer:

D; 16 seconds

Step-by-step explanation:

speed = distance/time

speed = 90 km/hr

We need to convert this to m/s because the tunnel is in meters and the time is in seconds:

[tex]\frac{90km}{hr} * \frac{1hr}{3600s} *\frac{1000m}{1km} =25m/s[/tex]

distance = 300 m (tunnel) + 100 m (train) = 400 meters

Solving for time:

[tex]25m/s=\frac{400m}{t} \\(25m/s)(t)=400m\\t=\frac{400m}{25m/s} \\t=16 s[/tex]

Solve for k.

3k–4≥ - 10

Answers

Answer:

k ≥ - 2

Step-by-step explanation:

Given

3k - 4 ≥ - 10 ( add 4 to both sides )

3k ≥ - 6 ( divide both sides by 3 )

k ≥ - 2

(1,-19), ( -2,-7) what's the slope?​

Answers

Answer:

Slope: -4

Step-by-step explanation:

Jaden has 3 times as many pieces of gum as Brian has. Jaden has 150 pieces of gum. How many pieces of gum does Brian have?

Answers

Answer:

Brian has 50 pieces of gum

Step-by-step explanation:

Jaden has three times as many

Therefore-

n x 30 = 150

We need to solve for n

You can do that by dividing 150 by 3

150/3 = 50

So Brian has 50 pieces

50 pieces.................,,,,,,

Find the slope of the line that contains the points (-2, 1) and (-2,-9)

Answers

Answer:

Slope of the line if two points are known

Step-by-step explanation:

Formula is y2-y1/x2-x1

so that 1-(-9)/-2-(-2)

10/0 is undefined that means line is parallel to y-axis

when a line is parallel to y axis it has no slope.

If you can help please answer

Answers

Answer:

see below

Step-by-step explanation:

3. [tex]\angle BCA = \angle CAD[/tex]

Reason

By alternate interior angles

4. [tex]\triangle ABC \cong \triangle CDA[/tex]

Reason

By SAS

solve for m step by step PLEASE HELP!!!
6m-38=m^2-10+25

Answers

Answer:

Step-by-step explanation:

find the missing term.
a) 14:7 = 6:
b) 10:2 = :8

Answers

I think for a 6:8 and for b 8:6 sorry I’m probably wrong

Answer:

a) let the missing term be X ,then,

14:7=6:X

14/7=6/X

14x=7*6

X=7*6/14

X=3

b) let the missing term be X ,then,

10:2=8:X

10/2=8/X

10x=8*2

X=16/10

X=1.6

Jaden made a pot of chili with 24 ounces of ground beef and 3 tablespoons of chili powder. He made another pot of chili with the same amount of ground beef, but he used 2 times as much chili powder. How many pounds of ground beef per tablespoon of chili powder did he use in the second pot of chili

Answers

Answer:

0.25 pound per table spoon

PLEASE help i have tried to do this many times but still don’t understand

Answers

Answer:

33 is the correct answer

A circle has an area of 254.469. What is the radius? (round to the nearest whole number)

Answers

Answer:

c = 2 r π = 2 * 9.0048 * 3.14159 = 56.55 units

I NEED CORRECT ANSWERS FOR THESE THREE QUESTIONS ASAPPP FOR 25 POINTS

Answers

Answer:

[tex]1) y = - \frac{3}{2} x + 4[/tex]

[tex]2)y = x + 5[/tex]

[tex]3)y = 4 + 5x[/tex]

Mrs. Jones drove 138 miles in 2.25 hours and Mr. Jones drove 159 miles in 2.5 hours. Who was driving faster?

Answers

Answer:

Mr. Jones

Step-by-step explanation:

it's Mr. Jones because he drove 63.6 miles and his wife drove 61.3

I can’t really afford to lose this...It can help me just need the last answer

Answers

Answer:

x = 5

Step-by-step explanation:

the angles of a triangle add up to 180°

17x+13x+6x=180

36x = 180

x = 5

Answer: 5

Step-by-step explanation:

To start off, the angles of a triangle add up to 180.

Therefore, you would find he answer by adding all the angles together and making it equal to 180.

13x+17x+6x=180

When you solve the equation, you will get X=5.

To check your work:

13 times 5=65

17 times 5=85

6 times 5=30

65+85+30=180

10. What is 7 less than the square root of 64?

Answers

Answer:

1

Step-by-step explanation:

The square root of 64 is 8, since 8 x 8 = 64. 8 - 7 = 1 , so the answer would be 1 ! I hope this helps, and have a wonderful day !

Graph this function:
y + 1 = 2(x + 3)
Click to select points on the graph.

Answers

Answer:

use points (0,5) and (1,7)

see below for graph

Step-by-step explanation:

First, we'll turn the equation from point slope form (y-y1=m(x-x1)) into slope intercept form (y=mx+b)

y+1=2(x+3)

do the distributive property

y+1=2x+6

subtract 1 from both sides

y=2x+5

We'll need two points to graph the line.

You can subsitute x or y as any number you like and solve the equation.

For example:

if x=0:

y=2(0)+5

y=5

so the point would be (0,5)

and if x=1

y=2(1)+5

y=2+5

y=7

point: (1,7)

Use the points (0,5) and (1,7)

See below if you would like to see how it looks like on a graph.

Hope this helps!

The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.
The elevation of the point closest to sea level is
feet, and the elevation of the point farthest from sea level is
feet.

Answers

Answer:

-47

Step-by-step explanation:

in negative numbers the higher you go, the lower it is.

think of opposites, this least to greatest: -47, -24, -18, -8, ok, so you can see that -47 is the least.

Hope this helps you, have a great day.

Helppppppp Il mark you brainlist!!!! Helppppppp Il mark you brainlist!!!!

Answers

y-intercept is 6
slope is -3

1) Which graph shows different numbers of tickets that Elena can sell to raise more than $180?
2) I would like to know who to mark people the brainiest!!! :)

Answers

Answer:

It is the top right

Step-by-step explanation:

I got it right

please help i can’t figure this out

Answers

Answer:

C because 100 percent of 15 is 15 and 20 percent of 15 is 3

If your good at math pls help me I’ll mark brainliest

Answers

Answer:

it's answer is A x = 3

x³ = 27

x³ = 3³

x = 3

Hope it will help :)

Answer:

A. x = 3

Step-by-step explanation:

The question is;

[tex]x^{3} = 27[/tex]

To solve it, one has to do;

[tex]x = \sqrt[3]{27}[/tex]

(x equals the cube root of 27)

The cube root essentially asks, what number times itself three times equals the number under the radical.

3 times itself 3 times equals 27, hence the answer is 3.

If you were to befriend a person in the first 2 months of school, would you trust them, yes or no?

Answers

Answer:

I guess that would depend on the type of person they are-

Step-by-step explanation:

Doing an Algebra assignment that is due today, I have multiple problems I need help with, I'm posting 5 questions at a time since I can't post them all. This is the second part :'|

Answers

Answer:

The answer is w^2 -12w +36

Solve for
x
a) 7^x = 1​

Answers

Answer:

x=0

Step-by-step explanation:

Take the logarithm of both sides of the equation to remove the variable from the exponent. Hope this helps!

What is a solution?

4

Group of answer choices

y=-1

(0,4)

No Solution

(2,-1)

Answers

Answer:

fwoueyfg WFE

Step-by-step explanation:

TIE FIGHTERS GO ZOOOOM

A fair six sided dice is rolled twice. What is the theoretical probability that the first number is greater then or equal to the second number. WILL AWARD BRAINLIEST.

Answers

36 total outcomes

Step-by-step explanation:

Since there are a 6/times 6= 36 possible outcomes

WHAT ON EARTH IS THIS ANSWER

Answers

Answer:

Step-by-step explanation:

You can figure out the angle DBC by the alternate interior theorem. Angle DBC=56 degrees. You already figured out BD.

Since we know BD, BC, and the angle DBC we can use the Law of cosine to find CD

The law of cosine is

CD^2=BC^2+BD^2-2(BC)(BD)cos DBC

Plug in what we know

CD^2=18^2+12.1^2-2(18)(12.1)cos 56

CD^2≈228.8387

Find the square root to isolate CD.

CD≈15.1

write an equation for a line parallel to the line y=1/3x-4 through (3,-2)
NEED HELP....LIKE NOW!!!!!!!

Answers

Answer:

is it for a test or something

Step-by-step explanation:

7th grade math help me please :)

Answers

Step-by-step explanation:

6^4=1296.

so the answer is 1296..................

Answer:

Step-by-step explanation:

m^n

m=6

n=4

6^4

6x6x6x6

36x36

36x36=1296

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