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IrinaVladis [17]
2 years ago
9

What is the formula for the area of a circle? O A. A = per2 O B. A = par O C. A=nd O D. A = 77?r

Mathematics
2 answers:
Natalija [7]2 years ago
7 0

Answer:

A

Step-by-step explanation:

A is the correct answer :3

Tcecarenko [31]2 years ago
6 0

Answer:

A = πr2

Step-by-step explanation:

The area of a circle is pi times the radius squared (A = π r²).

A = area

r = radius

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Solve for r. 60 = -24 + 12r​
neonofarm [45]

Answer:

r = 7

Step-by-step explanation:

60 = -24 + 12r​

<u>+24  +24</u>

84 = 12r

84 ÷ 12 = r

7 = r

Check:

60 = -24 + 12r

-24 + 12(7)

-24 + 84 = 60

3 0
3 years ago
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Find the total number of unit cubes that fill the entire prism
dexar [7]
It should be 72 I think
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3 years ago
What is the factor tree of 30
hjlf

Answer:

is it 2 x 3 x 5

Step-by-step explanation:

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5 0
3 years ago
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Integral of x"2+4/x"2+4x+3
dolphi86 [110]

I'm guessing you mean

\displaystyle \int\frac{x^2+4}{x^2+4x+3}\,\mathrm dx

First, compute the quotient:

\displaystyle \frac{x^2+4}{x^2+4x+3} = 1 + \frac{4x-1}{x^2+4x+3}

Split up the remainder term into partial fractions. Notice that

<em>x</em> ² + 4<em>x</em> + 3 = (<em>x</em> + 3) (<em>x</em> + 1)

Then

\displaystyle \frac{4x-1}{x^2+4x+3} = \frac a{x+3} + \frac b{x+1} \\\\ \implies 4x - 1 = a(x+1) + b(x+3) = (a+b)x + a+3b \\\\ \implies a+b=4 \text{ and }a+3b = -1 \\\\ \implies a=\frac{13}2\text{ and }b=-\frac52

So the integral becomes

\displaystyle \int \left(1 + \frac{13}{2(x+3)} - \frac{5}{2(x+1)}\right) \,\mathrm dx = \boxed{x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C}

We can simplify the result somewhat:

\displaystyle x + \frac{13}2\ln|x+3| - \frac52 \ln|x+1| + C \\\\ = x + \frac12 \left(13\ln|x+3| - 5\ln|x+1|\right) + C \\\\ = x + \frac12 \left(\ln\left|(x+3)^{13}\right| - \ln\left|(x+1)^5\right|\right) + C \\\\ = x + \frac12 \ln\left|\frac{(x+3)^{13}}{(x+1)^5}\right| + C \\\\ = \boxed{x + \ln\sqrt{\left|\frac{(x+3)^{13}}{(x+1)^5}\right|} + C}

3 0
3 years ago
John Tucker is interested in purchasing stock. He wants to determine the costs.
Delvig [45]

Answer: a0 =$97.5  ; a1 =$87.96 ; a2=$282.48; a3=$1,722.5 ; a4=$1,553.96 ; a5=$4,990.48

Step-by-step explanation:

Hi, to solve this problem we have to multiply each total by the commission in decimal form (6 / 100= 0.06).

So:

$1625 x 0.06 = $97.5

$1,466 x 0.06 =$87.96

$4,708 x 0.06 =$282.48

And finally, to obtain the total costs we have to add to each total the commission of the total.

$1625 + $97.5 = $1,722.5

$1,466 +$87.96 = $1,553.96

$4,708 +$282.48 = $4,990.48

Feel free to ask for more if it´s necessary or if you did not understand something.

8 0
3 years ago
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