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3 years ago

A sphere has a radius of 6 meters. A second sphere has a radius of 3M. What is the difference of the volumes of the Spheres?

Mathematics

1 answer:

Georgia [21]3 years ago

4 0

Answer:

the answer that I got is 867 3/7

Step-by-step explanation:

the formula to find the volume of a sphere is 4/3 pi r³. just find the volume of both the spheres separately and minus them.

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How else can the ratio 4/5 be written

Musya8 [376]

4 to 5, or 4.5. I hoped I helped!!

-Dawn

3 0

3 years ago

Read 2 more answers

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

2 years ago

A student factors 3x2 – 12 to the following.

Nesterboy [21]

Answer: The Expression is Equivalent, However, NOT completely factored.

Step-by-step explanation:

3x^2 - 12

Following:

3 ( x^2 - 4 )

Factor:

3x^2 - 12

Factor Out Common Term 3:

3 ( x^2 - 4 ) = 3 (x^2 - 4 )

Factor:

x^2 - 4

( x + 2 ) ( x - 2 )

Answer:

3 ( x + 2) ( x - 2)

Hence, The Expression is Equivalent, However, Wasn't Completely Factored.

Hope that helps!

8 0

3 years ago

Read 2 more answers

Help plz someone help me plz ty

MrRa [10]

Answer: 18.75 for each girl

Step-by-step explanation:

First you take the unit rate 2.50 multiply by 5.

2.50 x 5 = 12.50

12.50 x 3 = 37.50

37.50 / 2 = 18.75

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2 years ago

What triangle is this. Super easy.

san4es73 [151]

Answer:

isosceles :)

Step-by-step explanation:

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2 years ago