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3 years ago

If the radius of the circle is 9 cm, what is the area of sector AOB

Mathematics

1 answer:

cupoosta [38]3 years ago

3 0

254.47 you can google this kid just search formula for the area of a circle. Or A=pie*r^2

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Subtract 5 from 1/3 of 23

WARRIOR [948]

The answer is 2.8. or around there

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2 years ago

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If 15/x is equal to 75/100 what is x

Hatshy [7]

15/x=75/100
15/x=3/4
times 4x both sides
4*15=3x
60=3x
divide both sides by 3
20=x

7 0

3 years ago

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Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

3 years ago

Kiran paid $54.00 for 3 tickets to go to a corn maze. At the same rate, what is the cost of 5 tickets to the maze? *

Shtirlitz [24]

Answer:90

Step-by-step explanation:

6 0

2 years ago

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a certain shade of blue is made by mixing 1.5 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 ga

natita [175]

Answer:

3.75 of blue mixed with 12.5 of white is the correct answer

Step-by-step explanation:

We know the blue and white paints are a 1.5 : 5 ratio, and if we have a total of 16.25 by 1.5 by 5.

1.5 * 2.5 = 3.75

------------------------

5 * 2.5 = 12.5

SO blue is 3.75 and white is 12.5

7 0

2 years ago

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