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4 years ago

Identify the perfect cube root contained as a factor in 54. a. 8 b. 9 c. 27

Mathematics

1 answer:

NeX [460]4 years ago

4 0

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Solve the triangle ABC given B=78◦51, AC=22.31mm and AB= 17.92mm. Find also its area.

Korolek [52]

Answer:

what are the options

Step-by-step explanation:

8 0

4 years ago

I need help with this homogeneous equation

slamgirl [31]

Answer:

$ln [1 - (\frac{y}{x} )^{2} ] + ln x + c = 0$ . This is the solution.

Step-by-step explanation:

The homogeneous differential equation is given by

$\frac{dy}{dx} = \frac{x^{2} + y^{2} }{2xy}$

⇒ $\frac{dy}{dx} = \frac{1 + (\frac{y}{x} )^{2} }{2(\frac{y}{x} )}$ ........ (1)

Now to solve this differential equation we assume that y = vx where v is another variable.

So, differentiating with respect to x we get $\frac{dy}{dx} = v + x \frac{dv}{dx}$

Therefore, the above equation (1) becomes

$v + x \frac{dv}{dx} = \frac{1 + v^{2} }{2v}$ {Since $v = \frac{y}{x}$ }

⇒ $x\frac{dv}{dx} = \frac{1 + v^{2} - 2v^{2} }{2v}$

⇒ $x\frac{dv}{dx} = \frac{1 - v^{2}}{2v}$

⇒ $\frac{2v}{1 - v^{2} } dv = \frac{dx}{x}$ {By separation of variables}

Now, integrating both sides we get,

$\int {\frac{2v}{ 1- v^{2}}} \, dv = \int {\frac{dx}{x} } \, dx$

⇒ $- \int {\frac{d(1 - v^{2} )}{1 - v^{2}}} = \int {\frac{dx}{x} }$

⇒ $- ln (1 - v^{2}) = ln x + c$ {Where c is the integration constant}

⇒ $ln [1 - (\frac{y}{x} )^{2} ] + ln x + c = 0$ (Answer)

6 0

3 years ago

-2+10z=28 what is z?

vagabundo [1.1K]

Z would be 3 because 10*3 is 30 and 30-2 would be 28 :)

3 0

3 years ago

Read 2 more answers

Suppose you draw a card from a well shuffled deck of 52 what is the probability of drawing a 10 or jack

scoundrel [369]

Answer:

P(5)=4/52=1/13

P(J)=4/52=1/13

P(5 or J)=P(5)+P(J)=1/13+1/13=2/13

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

8/t = 7/28 = 11/44 what does t =? 18/72 = 18/72 = 25/x what does x =?

Rina8888 [55]

8/t = 7/28 = 11/44 what does t =? t= 32

6 0

3 years ago