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3 years ago

Find the circumference of the

Mathematics

1 answer:

Snezhnost [94]3 years ago

5 0

Answer:

either 56.52 or 113.04

Step-by-step explanation:

if 18 is the diameter: C= 56.52 feet

if 18 is the radius: C= 113.04

You might be interested in

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

2 years ago

the ratio of the lenghts of corresponding parts in two smillar solids is 4.1 what is the ratio of their surface areas?

victus00 [196]

Answer:

16:1

Step-by-step explanation:

The ratio of the surface areas of the similar solids is the square of the lengths.

(4:1)²

4²:1²

⇒ 16:1

5 0

3 years ago

Jason needs to explain to his class how to use mental math to find the product of 400,000×50,000 how would u explain that

elena55 [62]

You would do 5 times 4 which is 20. then count how many zero's there are and put them after the 20.

4 0

3 years ago

79% of 67 miles is what? Round answer to tenths place.

Neporo4naja [7]

Answer:

52.9

Step-by-step explanation:

Multiply 67 by .79

6 0

3 years ago

Every / represents a fraction

enyata [817]

Answer:

410.305

Step-by-step explanation:

I forgot how to do standard sorry..

3 0

2 years ago