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Vika [28.1K]
2 years ago
8

A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles:

Mathematics
1 answer:
Kruka [31]2 years ago
3 0
You need to add up three things:
- two sides of 60" each (60*2=120")
- the perimeter of the upper semicircle (3.14*27/2=42.412")
- the perimeter of the lower semicircle (3.14*27/2=42.412")

After addition:
120+42.412+42.412=204.823"


I hope you got the idea!








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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
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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

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y = 2mi

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x^2 + 1^2 = y^2

x^2 + 1^2 = 2^2

x^2 + 1 = 4

x^2 = 4-1

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

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

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\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
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