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olga nikolaevna [1]
3 years ago
10

A cruise ship has a large, circular window. It has a diameter of 6 meters. What is the windows approximate circumstance

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

  18.85 m

Step-by-step explanation:

The circumference of a circle is the product of pi and the diameter:

  C = πd = 3.1415(6 m) ≈ 18.85 m

The window has an approximate circumference of 18.85 meters.

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Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7
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Answer: The equation of the parabola is (x+5)^2=-24(y-1).

Explanation:

It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.

The standard form of the parabola is,

(x-h)^2=4p(y-k)

Where y=k-p is directrix and (h,k+p) is the focus.

Since focus is given,

(h,k+p)=(-5,-5)

On comparing,

h=-5

k+p=-5      .... (1)

The directrix is y=7.

k+p=7       .... (2)

Add equation (1) and (2),

2k=2

k=1

Put this value in (1).

p=-6

Put p= -6, h= -5 and k=1 in the standard form of the parabola.

(x+5)^2=4(-6)(y-1)

(x+5)^2=-24(y-1)

Therefore, the equation of parabola is (x+5)^2=-24(y-1).

8 0
3 years ago
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Answer:

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See attached graph of the function for graphical illustration.

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3 years ago
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Svetach [21]
No:
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