All categories

3 years ago

Find the EXACT area AND circumference of the following circle.

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

3 0

area = Pi*r^2

= Pi*10^2

=100Pi

=314.1592654

circumference = Pi*Diameter

= Pi*20

=20Pi

=62.83185307

You might be interested in

What is standard form

nataly862011 [7]

Example 250

word form:
two hundred and fifty

expanded form:
2+5+0

standard form:
250

7 0

3 years ago

Read 2 more answers

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

<u>Binomial Series</u>

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

1 year ago

All of the following are true statements except _____.

soldier1979 [14.2K]

Answer:

|−93| = −93

Step-by-step explanation:

|Mode| = mode

3 0

2 years ago

What are the solutions to f(x) = g(x)?

TiliK225 [7]

Answer:

x = 0 and x = 1

Step-by-step explanation:

From the table of values

f(x) = g(x) = 1 when x = 0 , and

f(x) = g(x) = 0.25 when x = 1

The solution to f(x) = g(x) are x = 0 and x = 1

5 0

2 years ago

I'm 2003, the population of Charlotte, NC was 584,658. According to the U.S. Census Bureau, Charlotte has been growing at the ra

dlinn [17]

If a certain place's population is given to be growing at a rate of 4.8% annually, the population after t years from 2003 will become (1.048^t) times the given initial population. This translates to a mathematical equation which is equal to,
At = (584,658(1.048^t)

6 0

2 years ago