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Sonja [21]
4 years ago
5

What is the volume of a sphere with a radius of 4 cm? Use 3.14 for pi. Round to the nearest hundredth.

Mathematics
2 answers:
BaLLatris [955]4 years ago
5 0
\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\quad 
\begin{cases}
r=radius\\
-----\\
r=4
\end{cases}\implies V=\cfrac{4\pi 4^3}{3}\implies V=\cfrac{256\pi }{3}
erik [133]4 years ago
3 0

Answer:

V = 50.24cm^3

Step-by-step explanation:


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Gavin rolls a fair dice 48 times.<br> How many times would Gavin expect to roll an even number?
pantera1 [17]

Answer: The number of times Gavin expect to roll an even number =24

Step-by-step explanation:

Given: Numbers of a fair dice = 1, 2, 3, 4, 5, 6

even numbers = 2, 4, 6

odd numbers = 1, 3, 5

Probability of getting an even number = \dfrac{3}{6}=\dfrac12

If Gavin rolls a fair dice 48 times.

Then, the number of times Gavin expect to roll an even number = 48\times\dfrac12=24

Hence, the number of times Gavin expect to roll an even number =24

6 0
3 years ago
I don't even know how to figure this out. I don't have a formula for this
yuradex [85]

Answer:

\sin\theta=\dfrac{15}{17}

?=15

Step-by-step explanation:

Use the trigonometry formula

\cos^2\theta+\sin^2\theta=1

You are given that

\cos \theta=\dfrac{8}{17}

Substitute into the first formula

\left(\dfrac{8}{17}\right)^2+\sin^2\theta=1\\ \\\dfrac{64}{289}+\sin^2\theta=1\\ \\\sin^2\theta=1-\dfrac{64}{289}=\dfrac{289-64}{289}=\dfrac{225}{289}\\ \\\sin \theta=\pm \dfrac{15}{17}

Angle \theta is acute angle, then the sine of this angle is positive and

\sin\theta=\dfrac{15}{17}

3 0
4 years ago
Which math expression means "44 more than an unknown number"?
worty [1.4K]

Answer: C. X + 44

Step-by-step explanation:

Let x be the unknown number.

Given statement : "44 more than an unknown number".

By using addition operation ,

Mathematical expression for "44 more than an unknown number" = 44 +x

Hence, the correct expression is x+44.

So, the correct option is C.

5 0
3 years ago
What is the inverse of the relation? <br> {(-4,1), (-4,3), (0,-8), (8,-9)}
BigorU [14]

The inverse relation would be each of these ordered pairs switched.

{(1, -4), (3, -4), (-8, 0), (-9, 8)}

This is because when you create an inverse equation, all of the inputs become outputs and all of the outputs become inputs. Therefore, the ordered pairs simply switch.

5 0
3 years ago
A polygon has an interior angle sum of 3060° how many sides must the polygon have?
AVprozaik [17]
Sum of interior angles=(n-2)180
3060=(n-2)180
3060/180=n-2
17=n-2
n=17+2
n=19..
5 0
3 years ago
Read 2 more answers
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