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barxatty [35]
3 years ago
14

The area of circle can be expressed by the

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

9514 1404 393

Answer:

  r = √(A/π)

Step-by-step explanation:

Solve for r. Do this by dividing by the coefficient of the r² term, then taking the square root.

  A = πr²

  A/π = r²

  r = √(A/π)

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Please can you give me help with answers. Thanks
Margaret [11]
1) 110+30+a = 180
a = 180-140 = 40
Obtuse angled triangle

2) 50+50+C = 180
C=180-100 =80
Acute angled triangle

3) 45+45+b =180
b =180-90 = 90 
Right angled triangle

4) 45+60+C = 180
C = 180-105 =75 
Acute angled triangle

5) 94+47+b =180
b = 180-141=39

Obtuse angled triangle

6)81+53+a = 180
a =180-134 = 46

Acute angled triangle

7) 38+45+b =180
b = 180-83 =97
Obtuse angled triangle

8) 36+54+C =180
C =180-90 = 90

Right angled triangle.
5 0
3 years ago
Consider the function f given by f(x)=x*(e^(-x^2)) for all real numbers x.
NISA [10]

Answer:

\frac{\sqrt{\pi}}{4}

Step-by-step explanation:

You are going to integrate the following function:

g(x)=x*f(x)=x*xe^{-x^2}=x^2e^{-x^2}  (1)

furthermore, you know that:

\int_0^{\infty}e^{-x^2}=\frac{\sqrt{\pi}}{2}

lets call to this integral, the integral Io.

for a general form of I you have In:

I_n=\int_0^{\infty}x^ne^{-ax^2}dx

furthermore you use the fact that:

I_n=-\frac{\partial I_{n-2}}{\partial a}

by using this last expression in an iterative way you obtain the following:

\int_0^{\infty}x^{2s}e^{-ax^2}dx=\frac{(2s-1)!!}{2^{s+1}a^s}\sqrt{\frac{\pi}{a}} (2)

with n=2s a even number

for s=1 you have n=2, that is, the function g(x). By using the equation (2) (with a = 1) you finally obtain:

\int_0^{\infty}x^2e^{-x^2}dx=\frac{(2(1)-1)!}{2^{1+1}(1^1)}\sqrt{\pi}=\frac{\sqrt{\pi}}{4}

5 0
3 years ago
Read 2 more answers
I really need help!If someone answers this,I will be happy to mark the brainest answer!EXTRA:you can answer the top question for
andreev551 [17]

9) They traveled 31.9 hours over the 3-day trip.

10.9 + 8.6 + 12.4 = 31.9

10) She does not have enough money. She has $12, but everything she wants to purchase would cost $12.39.

Large drink = 1.79

Turkey sandwich = 4.85

1.79 + 4.85 = 6.64

6.64 + 5.75 = 12.39

5 0
3 years ago
Ricky withdrew a total of $175 from his bank account over 5 days. He withdrew the same amount each day. By how much did the amou
kifflom [539]

Answer:

$35

Step-by-step explanation:

175/5 = 35

have a nice day! (maybe get this double checked in case I did it wrong :D)

8 0
2 years ago
What fraction accurately represents the decimal 2.3
timama [110]

Answer:

23/10. or 2  3/10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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