Mathematics: Where is the transverse axis of the hyperbola x^2-4y^2=16

Where is the transverse axis of the hyperbola

Ответ:

thestarlexyp32wpj

07.03.2022

25 : 1

Step-by-step explanation:

The diameter of the football is 5 times the diameter of the cricket ball. This means that the radius of the football is also 5 times the radius of the cricket ball.

Let the radius of the football be R.

Let the radius of the cricket ball be r.

This implies that:

R = 5r

Both balls are spherical.

The surface area of the cricket ball is given as:

$a = 4\pi r^2$

The surface area of the football is given as:

$A = 4\pi R^2$

$=A = 4\pi (5r)^2\\\\A = 100\pi r^2$

Therefore, the ratio of their surface areas is:

A : a

$100\pi r^2 : 4\pi r^2$

= 100 : 4

25 : 1

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Where is the transverse axis of the hyperbola x^2-4y^2=16

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