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3 years ago

The circumference of a circle is . What is the area of the circle in terms of ?

Mathematics

1 answer:

LenKa [72]3 years ago

7 0

Answer:

$\frac{225}{4}$ π

Step-by-step explanation:

Formula for the circumference of a circle

2r(π)

Area of a circle

πr²

2r(π)=x

x/2(π)=r

π(x/2(π))²=Area

π(x²/4(π)²)=Area

(x²/4(π))=Area

(15π)²÷4π=Area

$\frac{225}{4}$ π

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Solve quadratic formulax^2-4x+3=0

bekas [8.4K]

The general formula for a equation of the form:

$ax^2+bx+c=0$

is:

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

In this case we notice that a=1, b=-4 and c=3. Plugging this values in the general formula we get:

$\begin{gathered} x=\frac{-(-4)\pm\sqrt[]{(-4)^2-4(1)(3)}}{2(1)} \\ =\frac{4\pm\sqrt[]{16-12}}{2} \\ =\frac{4\pm\sqrt[]{4}}{2} \\ =\frac{4\pm2}{2} \end{gathered}$

then:

$x_1=\frac{4+2}{2}=\frac{6}{2}=3$

and

$x_2=\frac{4-2}{2}=\frac{2}{2}=1$

Therefore, x=3 or x=1.

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11 months ago

Solve 5^3x+1 = 4^x-5 for x

tensa zangetsu [6.8K]

For the equation $5^{3x+1}=4^{x-5}$ take the $\log$ from both sides:

$\log 5^{3x+1}=\log 4^{x-5},\\ \\(3x+1)\log 5=(x-5)\log 4.$

Find x:

$3x\log 5+\log 5=x\log 4-5\log 4,\\ \\3x\log 5-x\log 4=-5\log 4-\log 5,\\ \\x(3\log 5-\log 4)=-5\log 4-\log 5,\\ \\x=\dfrac{-5\log 4-\log 5}{3\log 5-\log 4}=\dfrac{5\log 4+\log 5}{\log 4-3\log 5}.$

Answer: correct choice is D

7 0

3 years ago

Read 2 more answers

PLEASE HELP "Given a sample mean of 3.56 and a standard deviation of 0.98, which value falls within the 90% confidence interval

trasher [3.6K]

Answer:

D. 3.57

Step-by-step explanation: Edmentum

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3 years ago

A cab soup has a radius of 1.65 inches and a height of 4.4 inches how many cubic inches of soup does the can hold? Use 3.14 to a

yawa3891 [41]

Assuming that the cab soup is a cylinder, the volume = $\pi$ $r^{2}$ h
v= 3.14 * (1.65*1.65) * 4.4
1.65*1.65= 2.7225
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11.979 * 3.14= 37.61406 etc...
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The cab soup can hold up to 37.6 $in^{3}$ of soup.

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3 years ago

A metal bar weighs 24 ounces. 15% of the bar is gold. How many ounces of gold are in the bar? *

emmainna [20.7K]

Answer:

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Step-by-step explanation:

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3 years ago