Select whether the function is discrete or continuous.

Find the circumference of a circle whose area is 24

zalisa [80]

The answer is: " 17.35 " .

__________________________________

→ The circumference of the circle is: " 17.35 units " .

__________________________________

The area, "A", of a circle:

A = $\pi$ * r² ;

Note: $\pi = 3.14$ .

The area of the circumference, "C", of a circle:

C = 2 $\pi$ r .

__________________________________________

Given:

A = 24 ;

Use the formula for the area, "A" of a circle, to find the radius, "r" .

Then, plug the value obtained for "r" into the formula for the circumference, "C" , of a circle:

C = 2 $\pi$ r l

To solve for the circumference, "C", of the circle.

________________

A = $\pi * r^{2}$ ;

24 = 3.14 * r² ;

↔ 3.14 * r² = 24 ;

Divide each side of the equation by "(3.14)" ;

[3.14 * r²] / 3.14 = (24) / (3.14) ;

to get:

→ r² = 7.64331210191 ;

Take the positive square root of each side of the equation;

to isolate "r" on one side of the equation; & to solve for the radius, "r" ;

→ ⁺√(r²) = ⁺√(7.64331210191) ;

to get:

→ r = 2.76281034802 ;

____________________________

Now, plug this "obtained value" for the radius, "r" into the equation for the formula for the circumference, "C" of a circle:

→ C = 2 $\pi$ * r ;

to solve for the circumference, "C", of the circle:

→ C = 2 * (3.14) * (2.76281034802) ;

= (6.28) * (2.76281034802) ;

= 17.3504489856 ;

→ round to: " 17.35 units" .

__________________________________

The answer is: " 17.35 " .

__________________________________

→ The circumference of the circle is: " 17.35 units " .

__________________________________

6 0

2 years ago

Last month, Ebony had 72 dollars in a checking account. The current balance is 126 dollars. What is the percent change in the ac

TEA [102]

Answer:

43%

Step-by-step explanation:

Last month, 72.

This month, 126.

Last month, ebony had 72/126 in her account to what she has this month. 72/126 as a percentage.

Ratio:

72:126

X100

7,200:12,600

÷126

57.142:100

Ebony had approximately 57% of her cash in her account last month, compared to this month.

5 0

2 years ago

carl wants to buy a television that costs $500, including taxes. To pay for the television, he will use a payment plan that requ

agasfer [191]

<span>The payment plan requires him to make a down payment of $125, and then pay $72.50 each month for 6 months. The total payment would be: $125 + 6*$72.50= $125 + $435= $560

</span><span>The percent increase from the original costs would be:
($560-$500) / $500 * 100%= 12%</span>

8 0

2 years ago

Read 2 more answers

A long distance phone service charges $0.30 for the first 10 minutes and $0.05 for each additional minute or fraction thereof. U

olga nikolaevna [1]

Answer: Our Cost function is discontinuous at every integer after x>10.

Step-by-step explanation:

Since we have given that

For the first 10 minutes , the service charges = $0.30

Let the number of additional minute be 't'.

Amount charge for each additional minute = $0.05

Using the greatest integer function: