All categories

2 years ago

The radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

8 0

Answer:

Distance = 660 meters

Step-by-step explanation:

Given the following data;

Radius, r = 21 m

Number of revolutions = 5 times

To find the distance covered;

The distance covered in one revolution is given by the circumference of a circle.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Substituting into the formula, we have;

C = 2 * 22/7 * 21

C = 44 * 3

C = 132 meters

Next, we find the distance covered;

Distance = Circumference * Number of revolutions

Distance = 132 * 5

Distance = 660 meters

You might be interested in

Which equation is the inverse of y = 9x2 - 4?

m_a_m_a [10]

Answer:

The inverse will be:

$y' = \frac{\sqrt{x+4}}{3}$

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

$f(x) = 9x^{2} - 4$

$y = 9x^{2} - 4$

$x = 9y' ^{2} - 4$

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

$x + 4= 9y'^{2} - 4+4$

$9y'^{2}$ = x + 4

Second divide by 9

$9y'^{2}$ /9 = (x + 4)/9

$y'^{2}$ = (x + 4)/9

Now you will have to clear y, with the square root.

$[tex]y'^{\frac{2}{2}} = \sqrt{x + 4} / \sqrt{9}$ [/tex] =

Simplifying terms

$y' = \frac{\sqrt{x+4}}{3}$

$f^{-1}(x) = \frac{\sqrt{x+4}}{3}$

You can check the answer by doing the evaluation of the following equation:

(f o $f^{-1}$ ) (x)

substitute the equation for y' or inverse function $f^{-1}$

f( $\frac{\sqrt{x+4} }{3}$ )

Now substitue the value into f(x)

You will have

$= 9(\frac{\sqrt{x+4} }{3}} )^{2} - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} ) - 4$

5 0

3 years ago

Please please help with this!!

BlackZzzverrR [31]

Answer: 115

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A cone is formed from a 300-degree sector of a circle of radius 18 by aligning the two straight sides. what is the result when t

vampirchik [111]

The radius of the completed cone is

... 18×(300°/360°) = 15

The height of the completed cone is found from the Pythagorean theorem:

... 15² + h² = 18²

... h = √99 = 3√11

The volume is given by

... V = (1/3)πr²·h = (1/3)π·15²·3√11

Dividing this value by π gives 225√11 cubic units.

7 0

3 years ago

-20 + 4x = -6x x = 5 x = -5 x = 2 x = -2

Cerrena [4.2K]

Answer:

x=2

Step-by-step explanation:

Hint use m a t h w a y. Its a algebra problem solver.

4 0

2 years ago

Read 2 more answers

Which expression is not equivalent to Negative 3 x minus one-half 4 y? 2 y minus 5 x minus one-half 2 y 2 x Negative 2 x minus o

Alona [7]

Answer:

The wrt=itten expressions are too difficult to interpret properly. I did my best but I don't see any of the answers as equivalent to -3x - 2y, so please check my interpretations of the answer options.

Step-by-step explanation:

"Negative 3 x minus one-half 4 y"

-3x- (1/2)4y

or -3x - 2y

=====

The answer options are too garbled for me to make sense of them. Are they:

1. 2 y minus 5 x minus one-half 2 y : 2y -5x - (1/2)2y; y -5x ?

2. 2 x Negative 2 x minus one-half 6 y : 2(-2x)- (1/2)6y; -4x - 3y ?

3. 3 x Negative 3 x minus three-fourths 4 y : 3x(-3x) - (3/4)4y; -9x -3y ?

4. one-fourth Negative 3 y minus three-fourths 7 y one-fourth minus 3 x:

(1/4)(-3y) - (3/4)7y - (1/4)(-3x); -(3/4)y -(21/4)y + (3/4)x; -(24/4)y + (3/4)x; ?

I don't see any of the answers as equivalent to -3x - 2y, so please check my interpretations of the answer options.

8 0

2 years ago

Read 2 more answers

The radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?​

The radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?