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2 years ago

The area of a circle is 16π cm2. What is the circle's circumference?

Mathematics

1 answer:

agasfer [191]2 years ago

4 0

Answer:

C = 8 pi cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

16 pi = pi r^2

Divide each side by pi

16 = r^2

Taking the square root

4 = r

The circumference is

C = 2 * pi *r

C = 2* pi *(4)

C = 8 pi cm

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jane loves animals. She has an equal number of beetles, birds and spiders as pets. Apart from human legs, there is a total of 27

kherson [118]

Answer:

16.875 spiders

Step-by-step explanation:

Given

Let

$B = Beetles$

$C = Birds$

$S = Spiders$

So, we have:

$B = C = S$ --- equal amounts

$6B + 2C + 8S = 270$ --- the legs

Required

The number of spider

Since she has an equal amount of B, C and S;

The expression can be written as:

$6B + 2C + 8S = 270$

$6S + 2S + 8S = 270$

$16S = 270$

Solve for S

$S = \frac{270}{16}$

$S = 16.875$

<em>The result of the solution does not represent real life situation because it it is not possible to have a fraction number of spider</em>

5 0

2 years ago

Simplifying rational expressions

Sonbull [250]

1. $\frac{(c + 8)(c - 8)}{(c - 8)(c + 3)}_,_$
   $\frac{c + 8}{c + 3}_,_$

2. $\frac{n^{2} + 4n - 12}{n^{2} + 2n - 8}_,_$
   $\frac{n^{2} + 6n - 2n - 12}{n^{2} + 4n - 2n - 8}_,_$
   $\frac{n(n) + n(6) - 2(n) - 2(6)}{n(n) + n(4) - 2(n) - 2(4)}_,_$
   $\frac{n(n + 6) - 2(n + 6)}{n(n + 4) - 2(n + 4)}_,_$
   $\frac{(n - 2)(n + 6)}{(n - 2)(n + 4)}_,_$
   $\frac{n + 6}{n + 4}_,_$

3. $\frac{42x^{2}y^{3}}{28x^{3}y}_,_$
   $\frac{3y^{2}}{2x}_,_$

4. $\frac{m^{2} - 3m - 10}{m - 5}_,_$
   $\frac{m^{2} - 5m + 2m - 10}{m - 5}_,_$
   $\frac{m(m) - m(5) + 2(m) - 2(5)}{m - 5}_,_$
   $\frac{m(m - 5) + 2(m - 5)}{m - 5}_,_$
   $\frac{(m + 2)(m - 5)}{m - 5}_,_$
   $m + 2_,_$

3 0

2 years ago

John sold a car for 60,000 dollars and made a profit of 20%.what is the cost price of the car

zhannawk [14.2K]

Answer:

72,000

Step-by-step explanation:

20% of 60,000 = 12,000

60,000 + 12,000 = 72,000

Chow,...!

7 0

2 years ago

In the coordinate plane, line p has a slope of 8 and y-intercept (0,3). What are the slope and y-intercept of line r?

Aleksandr [31]

Answer:

y = 8x + 3

Step-by-step explanation:

The line we are describing here is line p;

slope of line p = 8

y- intercept = (0,3)

y-intercept of a line is the point where it crosses the y-axis. At this point, the x = 0

So;

Slope of the line = 8

y-intercept = 3

Equation of the line;

y = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

y = 8x + 3

6 0

2 years ago

Use the long division method to find the result when 3x^3+23x^2+23x+6 is divided by 3x+2.

horsena [70]

Answer:

$x^{2} + 7x+3$

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers