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3 years ago

If a sphere’s volume is doubled, what is the corresponding change in its radius?

1 answer:

4 0

Volume of a sphere = (4/3) (pi) (radius)³

The sphere's volume is proportional to the cube of its radius,
so the radius is proportional to the cube-root of the volume.

The only way to double a sphere's volume is to increase
its radius by the factor of
∛2 = 1.26 (rounded).

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Which is the lasrgest

nikdorinn [45]

Answer:

0.153

Step-by-step explanation:

4 0

2 years ago

(a) Find an angle between 0 and 2π that is coterminal with −19π10.

Katarina [22]

Answer:

$\dfrac{\pi}{10}$ .

Step-by-step explanation:

All coterminal angles of an angle $\theta$ are defined as

$\theta +2n\pi$ or $\theta + n360^{\circ}$

where, n is an integer.

The given angle is

$\theta=-\dfrac{19\pi}{10}$

So, all coterminal angles of an angle $\theta$ are

$-\dfrac{19\pi}{10}+2n\pi$

For n=1,

$\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi$

$\Rightarrow -\dfrac{19\pi}{10}+2\pi$

$\Rightarrow \dfrac{-19\pi+20\pi}{10}$

$\Rightarrow \dfrac{1\pi}{10}$

Since, $\dfrac{\pi}{10}$ between 0 and 2π, therefore, the required coterminal angle is $\dfrac{\pi}{10}$ .

6 0

2 years ago

Solve 3x to the <br> second power <br> -2x-8=0 using an algebraic method

MatroZZZ [7]

Answer:

$x=2\textrm{ or } x=-\frac{4}{3}$

Step-by-step explanation:

Given:

The equation is given as:

$3x^{2}-2x-8=0\\3x^{2}-6x+4x-8=0\\3x(x-2)+4(x-2)=0\\(x-2)(3x+4)=0\\\\x-2=0\textrm{ or }3x+4=0\\x-2+2=0+2 \textrm{ or }3x+4-4=0-4\\x=2\textrm{ or }3x=-4\\x=2\textrm{ or}\\x=-\frac{4}{3}$

Therefore, the possible values of $x$ are 2 and $-\frac{4}{3}$

7 0

2 years ago

the product of two consecutive integers n and n+1 is 42. what is the positive integer that satisfies the situation?

MrMuchimi

$n(n+1)=42 \\
n^2+n=42 \\
n^2+n-42=0 \\ \\
a=1 \\ b=1 \\ c=-42 \\ b^2-4ac=1^2-4 \times 1 \times (-42)=1+168=169 \\ \\
n=\frac{-b \pm \sqrt{b^2-4ac}}{2a}=\frac{-1 \pm \sqrt{169}}{2 \times 1}=\frac{-1 \pm 13}{2} \\
n=\frac{-1 -13}{2} \ \lor \ n=\frac{-1+13}{2} \\
n=\frac{-14}{2} \ \lor \ n=\frac{12}{2} \\
n=-7 \ \lor \ n=6$

The positive integer is 6.
The consecutive integers are 6 and 7.

8 0

3 years ago

Which of these is a unit of density?<br> Please help.

katen-ka-za [31]

Answer:

I think is C.

Step-by-step explanation:

Hope it's help you ❤️❤️❤️❤️❤️❤️❤️

7 0

2 years ago

Read 2 more answers