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2 years ago

8

Determine the diameter of a softball if it circumference is 5pi

2 answers:

Svetradugi [14.3K]2 years ago

7 0

Answer:

th3 awnser isb5pi = 1.59 to 2 decimal

Paha777 [63]2 years ago

4 0

5/3.14= 1.592
= 1.59

The formula to find the circumference is C= pi(d)
So to find the diameter if you have the circumference is to do the circumference divided by pi

I hope this helps

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A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

$g(x) = \frac{2x+1}{x}$

A.)Consider

$f(g(x))= f(\frac{2x+1}{x} )$

$f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}$

$f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}$

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

B.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

8 0

4 years ago

Taylor can clean pools at a constant rate of pools per hour. How

Bogdan [553]

Answer:

it depends on how many he can clean in a single hour.

if he cleans 2/5 pools thats 10 pools in 25 hours

Step-by-step explanation:

if he cleans one pool per hour, thats 25 pools in 25 hours. if he can clean 4 pools an hour, thats 100 pools in 25 hours.

3 0

3 years ago

3÷1/3+1=<br><br> PLEASE HELP!!!!!

Alenkinab [10]

Answer:

9+1=10 following bodmas rule

3 0

3 years ago

3. Order each set of numbers from least to greatest.<br> a. 4, 8, -2,-6,0

Readme [11.4K]

Answer:

-2,-6,0,4,8

Step-by-step explanation:

-2 is the least because all other numbers are greater than it(i.e any negative number is less than 0)

8 0

3 years ago

Which number can be used as a common denominator for the fractions One-fourth and FIve-sixths?

Sav [38]

Answer:

12

Step-by-step explanation:

Given two fractions:

One - fourth and Five - Sixths.

To find:

The common denominator that can be used for the given fractions.

Solution:

First of all, let us have a look at the given fractions:

First fraction is:

$\dfrac{1}{4}$

Second fraction is:

$\dfrac{5}{6}$

The denominators of the fractions are 4 and 6.

To find a common denominator, we need to take LCM (Least Common Multiple) of the two denominators.

LCM is the least number which is divisible by the two numbers.

Let us find the LCM by factorization method.

4 = <em><u>2</u></em> $\times$ 2

6 = <em><u>2</u></em> $\times$ 3

The common number are taken once and other number which are not common are taken as it is.

So, the LCM is <em><u>2</u></em> $\times$ 2 $\times$ 3 = <em>12</em>

The numbers can be written as:

$\dfrac{3}{12}, \dfrac{10}{12}$

Therefore, <em>12</em> can be used as the common denominator.

7 0

3 years ago