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3 years ago

The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for Pi and round to the nearest tenth.

Mathematics

2 answers:

poizon [28]3 years ago

5 0

The answer is 78.5 you can get this by multiplying pi by the radius which is 5 then square it and you get 78.5

Nadusha1986 [10]3 years ago

5 0

Answer:

a=78.5 meters^2

Step-by-step explanation:

First, we have to find the radius

r=d/2

r=10/2

r=5

Substitute 5 in for r in the area formula

a= $\pi$ r^2

a= $\pi$ 5^2

a= $\pi$ 25

Substitute 3.14 in for pi

a=25*3.14

a=78.5 meters^2

Hope this helps!

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SVEN [57.7K]

Answer:

Step-by-step explanation:

I assume it's a rectangle, therefore:

P = 50

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b = ?

P = 2a + 2b

50 = 2 * 15 + 2b

50 = 30 + 2b

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8 0

3 years ago

Let x²y +ay² = b be an Implicitly defined function, where a and b are fixed Constants; find dy/dx

geniusboy [140]

The value of the differential with respect to x is -xy/x²+ay

<h3>Implicit differentiation</h3>

Given the following function

x²y +ay² = b

We are to differentiate implicitly with respect to x

x²dy/dx + 2xy + 2aydy/dx = 0

(2x²+2ay)dy/dx = -2xy
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Hence the value of the differential with respect to x is -xy/x²+ay

Learn more on implicit differentiation here: brainly.com/question/25081524

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2 years ago

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Anuta_ua [19.1K]

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3 years ago

Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.

scZoUnD [109]

Answer:

$y=\frac{C}{x}$ .

Step-by-step explanation:

Given homogeneous equation

$x^2ydy+xy^2dx=0$

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Substitute y=ux , $u=\frac{y}{x}$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}$

Now,

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}$

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u$

$\frac{\mathrm{d}u}{\mathrm{d}x}=-2u$

$\frac{du}{u}=-\frac{dx}{x}$

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

$lnu+ln{x}^2=lnC$

$lnux^2=lnC$

Cancel ln on both side

$ux^2=C$

Substitute $u=\frac{y}{x}$

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xy=C

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Answer: $y=\frac{C}{x}$ .

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3 years ago

V=2.5(6.4−t)

Alja [10]

Answer:

6.4 minutes ( or 6 minutes and 24 seconds)

Step-by-step explanation:

Filling up the jug means the empty space is 0, hence V = 0.

<em>We plug in 0 into V and solve for t to get the time required to fill it up:</em>

$V=2.5(6.4-t)\\0=2.5(6.4-t)\\0=16-2.5t\\2.5t=16\\t=\frac{16}{2.5}\\t=6.4$

Hence it will take 6.4 minutes to fill up the jugs.

<u>Note:</u> 0.4 minutes in seconds is $0.4*60=24$ seconds

6 0

3 years ago