Find the area of the following ellipse.

Mathematics

1 answer:

Karo-lina-s [1.5K]2 years ago

6 0

Answer:

77.72

Step-by-step explanation:

To find the area of an ellipse, you would use the formula a*b times pi. Sub in the numbers, and you will get the area.

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Write an expression for 40% of 25

Montano1993 [528]

For this case we must find an expression to find 40% of 25. So, we make a rule of three:

25 -----------> 100%

x -------------> 40%

Where "x" represents the amount that determines 40% of 25.

$x = \frac {40 * 25} {100}\\x = 10$

40% of 25 is 10. And an expression to find it is:

$x = \frac {40 * 25} {100}$

Answer:

$x = \frac {40 * 25} {100}$

8 0

2 years ago

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Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x

posledela

X² + x - 12 / x² - x - 20 ÷ 3x² - 24x + 45 / 12x² - 48x - 60

x² + x - 12 / x² - x - 20 * 12x² - 48x - 60 / 3x² - 24x + 45

(x² + x - 12)(12x² - 48x - 60)
(x² - x - 20)(3x² - 24x + 45)

12x^4 - 48x³ - 60x² + 12x³ - 48x² - 60x - 144x² + 576x + 720
3x^4 - 24x³ + 45x² - 3x³ + 24x² - 45x - 60x² + 480x - 900

12x^4 - 48x³ + 12x³ - 60x² - 48x² - 144x² - 60x + 576x + 720
3x^4 - 24x³ - 3x³ + 45x² + 24x² - 60x² - 45x + 480x - 900

12x^4 - 36x³ - 252x² + 516x + 720
3x^4 - 27x³ + 9x² + 435x - 900

12(x^4 - 3x³ - 21x² + 43x + 60) 
3(x^4 - 9x³ + 3x² + 145x + 300)

4(x^4 - 3x³ - 21x² + 43x + 60) 
 (x^4 - 9x³ + 3x² + 145x + 300)

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2 years ago

A right circular cylinder is inscribed in a sphere of radius r. Find the dimensions of such a cylinder with the largest possible

Burka [1]

Answer:

Largest volume in terms of r = 4r^3π/ 3√3 or you could write it as 4√3r^3π/9.

Step-by-step explanation: