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3 years ago

11. A bicycle wheel turns 15 times in covering a distance of 66 m. Find the radius of the wheel

Mathematics

1 answer:

VashaNatasha [74]3 years ago

5 0

Answer:

r = 10.5 m

Step-by-step explanation:

Given that,

A bicycle wheel turns 15 times in covering a distance of 66 m.

We need to find the radius of the wheel.

The distance that a wheel travels in one rotation is simply the circumference of the circle.

$2\pi r=66$

Where

r is the radius of the wheel

Put all the values,

$r=\dfrac{66}{2\pi}\\\\r=\dfrac{66\times 7}{2\times 22}\\\\r=10.5\ m$

So, the radius of the wheel is equal to 10.5 m.

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Answer:

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What is the center of the hyperbola whose equation is (y+3)^2/81-(x-6)^2/89=1?

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We have been given an equation of hyperbola $\frac{(y+3)^2}{81}-\frac{(x-6)^2}{89}=1$ . We are asked to find the center of hyperbola.

We know that standard equation of a vertical hyperbola is in form $\frac{(y-k)^2}{b^2}-\frac{(x-h)^2}{a^2}=1$ , where point (h,k) represents center of hyperbola.

Upon comparing our given equation with standard vertical hyperbola, we can see that the value of h is 6.

To find the value of k, we need to rewrite our equation as:

$\frac{(y-(-3))^2}{81}-\frac{(x-6)^2}{89}=1$

Now we can see that value of k is $-3$ . Therefore, the vertex of given hyperbola will be at point $(6,-3)$ and option D is the correct choice.

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3 years ago

11. A bicycle wheel turns 15 times in covering a distance of 66 m. Find the radius of the wheel​

11. A bicycle wheel turns 15 times in covering a distance of 66 m. Find the radius of the wheel