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2 years ago

7

Melissa runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?

1 answer:

never [62]2 years ago

7 0

50 80 90 SORRY SPRRY SORRY

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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:

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

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

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

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

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

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

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

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

<em>Hence, the distance is 442 miles</em>

7 0

3 years ago

Explain how you would show 135% on a 10-by10 grid

dangina [55]

You would shade in 135 of the squares in the grid(s)

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3 years ago

What is 2and 2/3 divided by 4/5

Illusion [34]

Answer:

$\frac{10}{3}$

I hope this helps!

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3 years ago

Xavier rides his bike 5 1/4 miles or 82% of his goal for the day. What is his goal for the day?

Leno4ka [110]

Use ratio and proportion

5.25/x= 82/100
cross multiply
82 x= 525
x= 6.4 miles

Hope this helps

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2 years ago

What term best describes the point line or curve defined by the intersection of a cone and a plane?

Sindrei [870]

Conic section from apex

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3 years ago