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3 years ago

What is the area of the circle to the nearest square foot if the circumference is 40?

1 answer:

7 0

Answer:
127 square ft

Explanation:
The formula to find the area of a circle with a know circumference is: C^2/4 π.

40^2 is 1600 and 4 times pi is 12.56. Divide 1600 by the 12.56 and you will get your area of 127.39. The answer is 127 square ft after rounding to the nearest square foot.

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Simplify:<br> sec x – sec x<br> (sin x)2

givi [52]

Answer:

Sec (x) - 2 tan (x)

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti

Vikki [24]

Answer:

General Solution is $y=x^{3}+cx^{2}$ and the particular solution is $y=x^{3}-\frac{1}{2}x^{2}$

Step-by-step explanation:

$x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}$

This is a linear diffrential equation of type

$\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)$ ..................(i)

here $p(x)=\frac{-2}{x}$

$q(x)=x^{2}$

The solution of equation i is given by

$y\times e^{\int p(x)dx}=\int e^{\int p(x)dx}\times q(x)dx$

we have $e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}$

Thus the solution becomes

$\tfrac{y}{x^{2}}=\int \frac{1}{x^{2}}\times x^{2}dx\\\\\tfrac{y}{x^{2}}=\int 1dx\\\\\tfrac{y}{x^{2}}=x+c$ $y=x^{3}+cx^{2$

This is the general solution now to find the particular solution we put value of x=2 for which y=6

we have $6=8+4c$

Thus solving for c we get c = -1/2

Thus particular solution becomes

$y=x^{3}-\frac{1}{2}x^{2}$

5 0

4 years ago

PLZ HELP ME I HAVE 5 MORE MINUTES

rewona [7]

Answer:

-10

Step-by-step explanation:

-5(2) - 4(-1) - 8 +2(2)

5 0

3 years ago

Read 2 more answers

Which equation can be used to verify that 534 – 68 = 466?

IgorC [24]

Answer:

466 + 68

Step-by-step explanation:

We can easily check a subtraction problem with an addition problem.

Calculate the sum of the subtracted and the difference. If the sum is equal to the minuend in the original subtraction problem, the answer is correct.

Minuend - Subtrahend = Difference

466 + 68 = 534

The statement '534 – 68 = 466' is correct.

Hope this helps.

6 0

2 years ago

Find the sum of 2/3+(-1/3)

leva [86]

2/3+(-1/3)
2/3-1/3
1/3

Your answer is 1/3

5 0

3 years ago