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3 years ago

The diameter of a circle is 24 centimeters. What is the circle's area?

Mathematics

1 answer:

ch4aika [34]3 years ago

8 0

Answer:

The diameter is 24 so the radius is 12 then we do pi*r^2 or pi*12^2

We can use our numbers and get pi*144 so the area of the circle is 144pi.

If they have given you what pi is

EX:( 22/7 or 3.14)

Just use that instead of pi and multiply 144 to that

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Only answer if you are 100% sure about the answer.

hram777 [196]

Answer:

180

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A school has 200 students and spends $40 on supplies for each student. The principal expects the number of students to increase

Xelga [282]

Answer:

$\mathbf{S(t)=200(\frac{105}{100})^{x}}$

$\mathbf{A(t)=40(\frac{98}{100})^{x}}$

$\mathbf{E(t)=S(t) \cdot A(t)=200(\frac{105}{100})^{x} \cdot 40(\frac{98}{100})^{x}=8000(\frac{10290}{10000})^{x}}$

Step-by-step explanation:

<h3>The predicted number of students over time, S(t) </h3>

Rate of increment is 5% per year.

A function 'S(t)' which gives the number of students in school after 't' years.

S(0) means the initial year when the number of students is 200.

S(0) = 200

S(1) means the number of students in school after one year when the number increased by 5% than previous year which is 200.

S(1) = 200 + 5% of 200 = $200+\frac{5}{100}\time200$ = $200(1+\frac{5}{100})$ = $200(\frac{105}{100})$

S(2) means the number of students in school after two year when the number increased by 5% than previous year which is S(1)

S(2) = S(1) + 5% of S(1) = $\textrm{S}(1)(\frac{105}{100})$ = $200(\frac{105}{100})(\frac{105}{100})$ = $200(\frac{105}{100})^{2}$

Similarly $\mathbf{S(x)=200(\frac{105}{100})^{x}}$

<h3>The predicted amount spent per student over time, A(t) </h3>

Rate of decrements is 2% per year.

A function 'A(t)' which gives the amount spend on each student in school after 't' years.

A(0) means the initial year when the number of students is 40.

A(0) = 40

A(1) means the amount spend on each student in school after one year when the amount decreased by 2% than previous year which is 40.

A(1) = 40 + 2% of 40 = $40-\frac{2}{100}\time40$ = $40(1-\frac{2}{100})$ = $40(\frac{98}{100})$

A(2) means the amount spend on each student in school after two year when the amount decreased by 2% than previous year which is A(1)

A(2) = A(1) + 2% of A(1) = $\textrm{A}(1)(\frac{98}{100})$ = $40(\frac{98}{100})(\frac{98}{100})$ = $40(\frac{98}{100})^{2}$

Similarly $\mathbf{A(x)=40(\frac{98}{100})^{x}}$

<h3>The predicted total expense for supplies each year over time, E(t)</h3>

Total expense = (number of students) × (amount spend on each student)

E(t) = S(t) × A(t)

$\mathbf{E(t)=S(t) \cdot A(t)=200(\frac{105}{100})^{x} \cdot 40(\frac{98}{100})^{x}=8000(\frac{10290}{10000})^{x}}$

$\mathbf{E(t)=8000(\frac{10290}{10000})^{x}}$

(NOTE : The value of x in all the above equation is between zero(0) to ten(10).)

6 0

3 years ago

Read 2 more answers

the average walking speed of a person is 4.8 kilometersper hour. estimate the number of kilometers could you walk in 3 hours?

Rus_ich [418]

14.4 Kilometers per hour.

6 0

3 years ago

Please help! I'm getting timed.

Kobotan [32]

The answer is A. It has side lengths of 3.

5 0

3 years ago

Suppose that poaching reduces the population of an endangered animal by 8% per year. Further suppose that when the population o

ohaa [14]

Answer: 36 years

Step-by-step explanation:

Here, the current population of the animal is 1400,

And, the population of an endangered animal by 8% per year.

Also, Further suppose that when the population of this animal falls below 70, its extinction is inevitable.

Let after x years the population of animal falls below 70,

Therefore, $1400(1-\frac{8}{100} )^x < 70$

⇒ $(\frac{92}{100})^x < \frac{70}{1400}$

⇒ $(\frac{92}{100})^x < \frac{1}{20}$

⇒ $x log(.92) < log(0.5)$

⇒ $- 0.03621217265 x < -1.30102999566$

⇒x>35.9279739462

Thus, after 36 years( Approx) the population of the animal will be fall towards 70.

6 0

3 years ago