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Mandarinka [93]
3 years ago
10

Two passenger trains traveling in opposite directions meet and pass each other. Each train is 1/12 miles long and is traveling 5

0 mph. How many seconds after the front cars of the trains meet will their rear cars pass each other?
Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0

Answer:

6 seconds

Step-by-step explanation:

1/12 mile * 5280 feet/mile = 440 feet per train

50 miles/hour * 1/3600 hr/sec * 5280 ft/mile = 73 1/3 ft/second

one train has to travel 440 feet to pass the other train

440 feet * 1/(73 1/3) sec/ft = 6 seconds

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Step-by-step explanation:

\sf  \longrightarrow \frac{ \sec x \sin( - x)  +  \tan( - x) }{1 +  \sec( - x) }  \\  \\  \sf \longrightarrow  \frac{ \sec x( -  \sin x) -  \tan x}{1 +  \sec x}  \\  \\  \sf  \longrightarrow   \frac{  - \frac{1}{ \cos x } \times  \sin x -  \tan x }{1 +  \sec x}  \\  \\  \sf  \longrightarrow \frac{ -  \tan x -  \tan x}{1 +  \sec x}   \\  \\  \sf  \longrightarrow  \frac{ - 2 \tan x}{1 +  \sec x}  \\  \\  \sf \longrightarrow   \frac{  \frac{ - 2 \sin x}{ \cos x} }{1 +  \frac{1}{ \cos x} }  \\  \\  \sf  \longrightarrow  \frac{  \frac{ - 2 \sin x}{ \cos x} }{ \frac{ \cos x + 1}{ \cos x} }  \\  \\     \boxed{  \sf{\longrightarrow \frac{ - 2 \sin x}{ \cos x + 1}  }}

4 0
1 year ago
What’s the volume of the following shape?
tankabanditka [31]

Answer:

Step-by-step explanation:

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3 0
2 years ago
Read 2 more answers
Use the Distributive Property to write an equivalent expression for 3(3 + 5) *
Art [367]

3(3+5)=6+15 1)3x3 2)3x5 then you up the answers that you get for one and two
3 0
2 years ago
Lara is putting lace trim around the border of a circular tablecloth. The tablecloth has a diameter of 1.2 meters. What is the l
mylen [45]

Answer:

3.8m

Step-by-step explanation:

Since Lara is putting lace trim around the border of a circular tablecloth, by the time she finishes she has covered the circumference.

The circumference of a circle is calculated using:

C=\pi \: d

where d is the diameter of the circle.

It was given that the diameter of the circular table cloth is 1.2 meters.

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6 0
3 years ago
Can someone help with this?
Bumek [7]
4.5/3 = x/5

then:

x = 5 * 4.5 / 3 = 15/2 = 7.5


hope that helps

6 0
3 years ago
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