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3 years ago

If the sides of a cube are 4 inches long, then its volume is

Mathematics

2 answers:

kow [346]3 years ago

8 0

The answer would be length x width x height thus 4 x 4 x 4= 64 and since is is 4 cubed it would be "c"

WARRIOR [948]3 years ago

4 0

The answer is A 64 and well then you got 6*4 = 24 in 3

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The circle with center O has a minor arc BSA with a length of

tangare [24]

Answer:

D. $\frac{27\pi}{2}$ inches.

Step-by-step explanation:

We have been given that the circle with center O has a minor arc BSA with a length of $3\pi^{2}$ inches. The central angle is 40°.

To find the circumference of circle we will use formula:

$\frac{\text{Central angle}}{2\pi}=\frac{\text{Arc length}}{2\pi r}$ , where $2\pi$ = measure of 360 degrees in radians and $2\pi r$ = circumference of circle.

Let us convert measure of central angle into radians.

$40^{o}=\frac{40*\pi}{180} =\frac{2\pi}{9}$

Upon substituting our given value in the formula we will get,

$\frac{\frac{2\pi}{9}}{2\pi}=\frac{\frac{3\pi}{2}}{2\pi r}$

$\frac{2\pi}{18\pi}=\frac{3\pi}{4\pi r}$

$\frac{1}{9}=\frac{3}{4r}$

Cross multiplying we will get,

$4r=27$

$r=\frac{27}{4}$

Hence, the radius of our circle is 27/4 inches.

Since the circumference of circle is $2\pi r$ . Upon substituting $r=\frac{27}{4}$ we will get,

$2\pi r=2\pi* \frac{27}{4}=\frac{27\pi}{2}$

Therefore, circumference of our given circle will be $\frac{27\pi}{2}$ inches and option D is the correct choice.

6 0

3 years ago

Find the radius of a circle with a circumference of 35<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt=

dusya [7]

Answer:

17.5 yds =r

Step-by-step explanation:

Circumference is given by

C = 2*pi*r

35pi = 2 *pi*r

Divide each side by 2pi

35pi/2pi = 2*pi*r/2pi

17.5 =r

4 0

3 years ago

Can't figure out how to find the line of reflection.

FinnZ [79.3K]

I think you just got to plot the points it give you the it will be a reflection

3 0

3 years ago

A box contains 12 balls numbered 1 through 12. Two balls are drawn in succession without replacement. If the second ball has the

Nikitich [7]

<h2>Answer with explanation:</h2>

A box contains 12 balls numbered 1 through 12.

Also the ball are drawn without replacement.

The probability that the first ball had a smaller number on it.

i.e. the number on the first ball could be: {1,2,3}

Hence, the probability that the first ball had a smaller number on it is:

$\dfrac{3}{12}=\dfrac{1}{4}=0.25$

The probability that the first ball has a even number on it is:

There are total 6 even numbers {2,4,6,8,10,12}

but 4 can't be considered as it comes on the second draw, so we are left with just 5 balls with even number.

Hence, the probability is:

$\dfrac{5}{12}=0.4166$

8 0

3 years ago

What is the inverse of x-2

SCORPION-xisa [38]

Answer:

y = x + 2

Step-by-step explanation:

The expression x-2 is from the equation y = x - 2.

To find the inverse of the equation, <u>switch the "x" and "y" variables</u>, then solve or <u>isolate for "y"</u>, meaning to separate it from the other numbers.

y = x - 2 Original equation

x = y - 2 Switched "x" and "y" variables

x + 2 = y - 2 + 2 Add 2 to both sides to cancel out '-2' on the side with "y"

x + 2 = y

y = x + 2 Variable is on left side in standard formatting

To isolate, do the reverse operation for the number you want to get rid of.

On the side with "y", I wanted to get rid of '-2' so I could separate "y" from everything else. '+2' is the reverse operation for '-2'.

8 0

3 years ago