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2 years ago

Using a protractor and a ruler, reflect points A and B across line PQ?

Mathematics

1 answer:

MA_775_DIABLO [31]2 years ago

8 0

Answer:

shiii

Step-by-step explanation:

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It takes a train 60 seconds to completely drive through a bridge of 1260 m, and 90 seconds to completely drive through a tunnel

Olegator [25]

The length of train is 120 meters

The speed of train is 25 meter per second

Solution:

The speed is given by formula:

$speed = \frac{distance}{time}$

Given that,

It takes a train 60 seconds to completely drive through a bridge of 1260 m

And 90 seconds to completely drive through a tunnel of 2010 m

Let the length of the train be "x"

The total distance travelled by the train across the bridge is given by:

total distance = x + 1260 + x = 2x + 1260

[ here we use x + x to represent that train completely drives through bridge ]

The time taken is given as 60 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 1260}{60}$

The total distance travelled by the train through the tunnel is given by:

total distance = x + 2010 + x = 2x + 2010

The time taken is given as 90 seconds

Therefore, the speed is given as:

$speed = \frac{2x+ 2010}{90}$

The speed of the train was the same in both cases.

Equate both speeds

$\frac{2x+ 1260}{60} = \frac{2x+ 2010}{90}$

$\frac{x+630}{30} = \frac{x+1005}{45}$

$45(x+630) = 30(x+1005)\\\\45x + 28350 = 30x + 30150\\\\45x - 30x = 30150 - 28350\\\\15x = 1800\\\\x = 120$

Thus length of train is 120 meters

Find the speed of train:

$speed = \frac{2x+ 1260}{60}\\\\speed = \frac{2(120) + 1260)}{60}\\\\speed = 25$

Thus speed of train is 25 meter per second

5 0

3 years ago

The earth has a diameter of 7917.5 mi. What is the arc length of half the earth?

Serhud [2]

Answer:

Arc length is 12436.8m

Step-by-step explanation:

arc length = $\frac{M degree}{360degree}$ * πD

where M is the angle measure of the arc

and D is the diameter

considering the earth as a circle and half the earth as a semi circle the angle measure of the arc will be = 180 degrees

$\frac{180}{360}$ * π * 7917.5 = 12436.8m

5 0

3 years ago

What is the answer to (-7)(2)(-2).

IgorC [24]

Answer:

Step-by-step explanation:

-2 × -7 = 14

14 × 2 = 28

thats the correct answer

8 0

3 years ago

If the public debt of the United States of Apex is 9,529,034,179,824,022 Apex dollars and its gross domestic product (GDP) is 16

aivan3 [116]

To compute for the debt-to-GDP ratio, we just have to divide the debt given in this item by the GDP and convert the quotient to percentage. That is,
debt-to-GDP ratio = (9,529,034,179,824,022)/ (16,247,683,987,248,007) x 100%
debt-to-GDP ratio = 58.65%
Thus, the answer is FALSE.

8 0

3 years ago

Read 2 more answers

Please Help? The volume of a cylinder is 176pi cm.square and its height is 11cm. What is the length of the cylinder radius?

timofeeve [1]

Answer:

Step-by-step explanation:

4 0

3 years ago