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10 months ago

A train has equal number of seats in each carriage.

Mathematics

1 answer:

Lerok [7]10 months ago

4 0

The train has 12 carriages

Step-by-step explanation:

The total no. of seats =876

No. of seats per carriage =73

It is given that each carriage has equal seats

So,

Let the total no. of carriages be x

According to the given information,

$73 \times x = 876$

$x = 876 \div 73$

x = 12

Hence the number of carriages is 12

To know more about numbers,

brainly.com/question/11793415

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A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters

In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

$\Rightarrow y=\sqrt{x^2+100}$

Differentiating with respect to t

$\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}$

$\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}$

Since the car driving towards the intersection at 13 m/s.

so, $\frac{dx}{dt}=-13$

$\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)$

Now

$\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)$

$=\frac{24\times (-13)}{\sqrt{676}}$

$=\frac{24\times (-13)}{26}$

= -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

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2 years ago

(-2,3) and (-2,1) what is the answer

Angelina_Jolie [31]

There is not enough info to answer this question.

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2 years ago

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Alenkinab [10]

Answer:

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The like terms are:

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Simplify : 3/4 + 1/3 (0.06)

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The answer will be .77 because you have to multiply then add

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2 years ago

In a class of 30 students, 5 have a brother and 20 have a sister. There are 2 students who have a brother and a sister. What is

slamgirl [31]

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Step-by-step explanation:

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2 years ago