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4 years ago

Find the circumference if the diameter is 25 meters

Mathematics

1 answer:

Sati [7]4 years ago

4 0

Answer:

78.5

Step-by-step explanation:

the formula is C = 2π r

we know the diameter is 24

half of the diameter is radius

24 divided by 2 is 12

substitute what we know

C=2 times 3.14 times 12= 75.36

The closest option is 78.5

The answer is not completely the same because pi is not always exact

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Simplify the expression left parenthesis (3/5)2

koban [17]

6 because if you multiply (3/5)2 you get 6

8 0

3 years ago

Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation

Musya8 [376]

Answer:

Step-by-step explanation:

we have the following differential equations

$\frac{dx}{dt}=-2y\\\frac{dy}{dt}=-2x\\$

by differentiating the second equation we have

$\frac{d}{dt}(\frac{dy}{dt})=-2\frac{dx}{dt}\\\frac{d^{2}y}{dt^{2}}=-2\frac{dx}{dt}\\\frac{dx}{dt}=\frac{-1}{2}\frac{d^{2}y}{dt^{2}}$

and we replace dx/dt in the first equation

$\frac{-1}{2}\frac{d^{2}y}{dt^{2}}=-2y\\\frac{d^{2}y}{dt^{2}}-4y=0$

and by using the characteristic polynomial

$m^{2}+4=0\\m=\±2i$

the solution is

$y(t)=Acos(2t)+Bsin(2t)$

and to compute x(t) we have

$\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)$

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

$x(0)=B=4\\y(0)=A=3$

I hope this is useful for you

regards

4 0

3 years ago

Read 2 more answers

Which is the sum of the interior angles of an octagon?

cupoosta [38]

To find the sum of interior angles, subtract 2 by the number of sides and then multiply the difference by 180.

180 (8-2) = 180(6) = 1080.

1080 is the sum of the interior angles of an octagon

Hope this helps :)

5 0

4 years ago

Convert the decimal expansion 0.2777... to a fraction

In-s [12.5K]

Convert the decimal decimal to a fraction by placing the decimal over a power of ten. since there are 4 numbers to the right of the decimal point, place the decimal number over 10^{4} (10000)
so your answer is 2777 over 10,000
hope this helped <3

4 0

3 years ago

Please help me right away.

statuscvo [17]

So, with rational equations, we have three different cases. If the numerator has degree m and the denominator degree n, if m>n, the rational equation has an oblique(slant) asymptote. If m=n, the asymptote is the quotient of the leading coefficient of the numerator divided by the leading coefficient of the denominator. If m<n, the rational equation has an asymptote at 0. Since m>n in this problem, we must perform polynomial division.

$\frac{x^3+2x-8}{x^2+x}= 3x-\frac{x+8}{x^2+x}$

Since the remainder tends to 0 as it approaches infinity, we have a slant asymptote at y=3x.

3 0

3 years ago