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3 years ago

7

Two trains are moving towards each other on parallel tracks, both going at a constant rate of 60km/h. A passenger sitting in one

of the trains noticed that the other train passed him completely in six seconds. What is the length of passing train in meters?
I really need help on this

1 answer:

wariber [46]3 years ago

5 0

Answer:

200 m

Step-by-step explanation:

$v = 60 km/h \times\frac{1000m}{1km}\times\frac{1h}{3600sec}}=\frac{60}{3.6}m/s$

For the passenger, the other train moves at a rate of 2v

Time t = 6 sec

The length = (2v) x t = $2\times\frac{60}{3.6}\times 6=200 m$

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John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21 About how far does

Agata [3.3K]

Answer:

John ski down the mountain is 1285.37 feet.

Step-by-step explanation:

Given : John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21.

To find : About how far does John ski down the mountain ?

Solution :

We draw a rough image of the question for easier understanding.

Refer the attached figure below.

According to question,

Let AB be the height of mountain i.e. AB=1200 feet

The angle of depression is 21 i.e. $\theta=21^\circ$

We have to find how far does John ski down the mountain i.e. AC = ?

Using trigonometric,

$\cos\theta = \frac{AB}{AC}$

$\cos(21)= \frac{1200}{AC}$

$AC=\frac{1200}{\cos(21)}$

$AC=1285.37$

Therefore, John ski down the mountain is 1285.37 feet.

7 0

4 years ago

Compare 24 greater than, less than, or equal to 4.256.

r-ruslan [8.4K]

Answer:

Greater than 4.256

Step-by-step explanation:

Because 24 is a whole number and so is the 4 in 4.256. So Because 24 is larger than 4 it is automatically greater than 4

5 0

3 years ago

Read 2 more answers

Please help me with math, worth 10 points! :D

Dovator [93]

Distribute: 5x+20-4x=18-23 simplify: 1x+20=-5 subtract 20: 1x=-25 Answer x=-25

3 0

3 years ago

Please help (look at the picture)

Brrunno [24]

No
the input of x (7) has two different y values which makes it not a function

4 0

3 years ago

andrew-mc [135]

<u>Given</u>:

The lengths PQ = 4x + 2, QR = 7x – 19, and QU = 34

We need to determine the value of ST.

<u>Value of x:</u>

By two tangent theorem, we have;

PQ = QR

Substituting the values, we get;

$4x+2=7x-19$

$-3x+2=-19$

$-3x=-21$

$x=7$

Thus, the value of x is 7.

<u>Length of PQ and QR:</u>

Substituting x = 7 in the expressions of PQ and QR, we get the lengths.

Length of PQ = $4(7)+2=28+2=30$

Length of QR = $7(7)-19=49-19=30$

<u>Radius of the circle:</u>

The radius of the circle PU can be determined using the Pythagorean theorem.

Thus, we have;

$QU^2=PQ^2+PU^2$

Substituting the values, we get;

$34^2=30^2+PU^2$

$1156=900+PU^2$

$256=PU^2$

$16=PU$

Thus, the radius of the circle is 16.

<u>Length of ST:</u>

The length of ST is $ST=SU+UT$

Substituting SU = UT = 16 because the radius of the circle is 16.

Thus, we have;

$ST=16+16$

$ST=32$

Thus, the length of ST is 32.

6 0

3 years ago