All categories

3 years ago

The diameter of your bicycle wheel is 24 inches. How far will you move in one turn of your wheel?

Mathematics

1 answer:

Tju [1.3M]3 years ago

8 0

Answer:

24pi inches, or 75.3982237in

Step-by-step explanation:

circumference is diameter times pi

You might be interested in

Select the expression that represents the following statement multiply 6 by 2, and then subtract 4. 2 - 4x6

Helen [10]

The answer is the second one, 6x2 - 4

6 0

2 years ago

If f(x)=x^4+6, g(x)=x-2 and h(x)= sqrt (x), then f(g(h(x)))=

patriot [66]

Answer:

x^2 + 4x * (3 - sqrt(x)) - 2(5 + sqrt(x))

Step-by-step explanation:

Firstly let us split this up, we need to first work out what g(h(x)) is:

h(x) = Sqrt(x) so g(h(x)) = g(sqrt(x)) = sqrt(x) - 2

Now to work out f(g(h(x))) = f(sqrt(x) - 2) = (sqrt(x) - 2)^4 + 6

= (sqrt(x) - 2) * (sqrt(x) - 2) * (sqrt(x) - 2) * (sqrt(x) - 2) - 6

= (x - 2 * sqrt(x) + 4) * (x - 2 * sqrt(x) + 4) - 6

= x^2 - 2x * sqrt(x) + 4x - 2x * sqrt(x) + 4x - 8 * sqrt(x) + 4x - 8 * sqrt(x) + 16 - 6

= x^2 - 4x * sqrt(x) + 12x - 16 * sqrt(x) + 10

= x^2 + 4x * (3 - sqrt(x)) - 2(5 + sqrt(x))

3 0

3 years ago

A 25-foot long ladder is propped against a wall at an angle of 18° with the wall. how high up the wall does the ladder reach? ro

Alecsey [184]

Answer

Find out the how high up the wall does the ladder reach .

To proof

let us assume that the height of the wall be x .

As given

A 25-foot long ladder is propped against a wall at an angle of 18° .

as shown in the diagram given below

By using the trignometric identity

$cos\theta = \frac{Base}{Hypotenuse}$

now

$\theta = 18^{\circ}$

Base = wall height = x

Hypotenuse = 25 foot

Put in the trignometric identity

$cos18^{\circ} = \frac{x}{25}$

$cos18^{\circ} = \bar{0.9510565162}$

x = 23.8 foot ( approx)

Therefore the height of the ladder be 23.8 foot ( approx) .

8 0

3 years ago

Read 2 more answers

Complete the sentence to explain how to multiply 4.56x1000

s2008m [1.1K]

The answer is 4,560

4.56 X 1000

8 0

2 years ago

Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

4 0

3 years ago

Read 2 more answers