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3 years ago

Helpppppppppppppppppp

Mathematics

1 answer:

Mamont248 [21]3 years ago

4 0

I’m pretty sure that’s true.

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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

A snack stand sold hot dogs and chips at a recent game. The hot dogs cost $2.50 and the snacks cost $0.75. After the game, they

zalisa [80]

Answer:

this is correct on edge

Step-by-step explanation:

6 0

3 years ago

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What is the area of the shaded region? 21 mm 24 mm 42 mm 48 mm Save and Exit

Harrizon [31]

Answer:

It seems that you have missed to upload the shaded region for this problem. you are requested to please provide the shaded region so that we can help you with this problem

Step-by-step explanation:

6 0

2 years ago

How do you write (243)^ 3/5 in radical form? THEN simplified?! *PLEASE HELP

SOVA2 [1]

Answer:

Step-by-step explanation:

If you have an exponent that is a fraction, you need to make a radical with the index from the denominator and an exponent of the radicand from the numerator.

(243)^3/5=( $\sqrt[5]{243}^3$ )

This would come out as $\sqrt[5]{14348907^}$ . this further simplifies down to the final answer of 27

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3 years ago

One number is 5 more than another.

Ganezh [65]

Answer: 29 and 24

Step-by-step explanation:

Since one number is 5 more than another

53-5 = 48

Then we divide that by two to get the value of one of the two numbers

48/2= 24

In order to get the number which is 5 more than the other, we add 5

24+5= 29

So the two numbers would be 29 and 24.

Check:

29+24= 53

7 0

3 years ago

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