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posledela
4 years ago
7

What is the radius of a circle whose equation is x2 + (y – 8)2 = 25?

Mathematics
2 answers:
Dafna11 [192]4 years ago
8 0
Use photo math :) and you will get your answer
Ann [662]4 years ago
5 0

Answer:

r = 5

Step-by-step explanation:

Compare this equation to the standard form

(x - h)^2 + (y - k)^2 = r^2

Through this comparison we see that h = 0, k = 8 and r = 5.

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An open-top rectangular box with square base is to be made from 100 square feet of material, as shown.
-Dominant- [34]

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<h3>How to maximize volume of a box?</h3>

Let b be the length and the width of the base (length and width are the same since the base is square).

Let h be the height of the box.

The surface area of the box is;

S = b² + 4bh

We are given S = 100 ft². Thus;

b² + 4bh = 100

h = (100 - b²)/4b

Volume of the box in terms of b will be;

V(b) = b²h = b² * (100 - b²)/4b

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The volume is maximum when dV/db = 0. Thus;

dV/db = 25 - 3b²/4

25 - 3b²/4 = 0

√(100/3) = b

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Thus;

h = (100 - (√(100/3)²)/4(5.77)

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Read more about Maximizing Volume at; brainly.com/question/1869299

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