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3 years ago

If an object travels 400 m in 253 s what is its speed in m/s?

Mathematics

2 answers:

Doss [256]3 years ago

6 0

Speed = distance / time

Speed = 400 / 253 

Speed = 1.58 m/s approx

Valentin [98]3 years ago

5 0

The answer would be 653 speed. Your welcome for the help.

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A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

Hence, the distance is 442 miles

7 0

3 years ago

Jared has 12 more comic books than Zoe. If they have 28 comic books

ZanzabumX [31]

Answer:

20 comic books

Step-by-step explanation:

Let us first set up a variable, x, for the number of books that Zoe has. If Jared has 12 more comics than Zoe, he would have x+12 books.

Given that Zoe and Jared have a total of 28 comic books, let us write an equation and solve for x:

$x+x+12=28\\2x+12=28$

Now that we have a simplified version of the equation, let us solve for x by isolating the variable on the left side:

$2x=28-12\\2x=16\\x=8$

We now know that x=8, and also that Jared has x+12 books. To find the number of comic books Jared has, let us add 12 to x:

$x+12=\\8+12=\\20\\$

Therefore, Jared has 20 comic books.

I hope this helps! Please let me know if you have any further questions :)

4 0

2 years ago

A) Show that sin 3x = 3 sin x - 4 sin³ x

svp [43]

A) linked photo
b) linked photo

3 0

2 years ago

What is the value of x?

Mice21 [21]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

(2²)(3²) someone please help

Vaselesa [24]

4x9=36your answer is 36

Reason:2squared is 2x2 =4

Reason:3squared is 3x3=9

When you square a number you are multiplying it by itself

3 0

3 years ago