What is the volume of the small cone .what is the volume of the large cone both in terms of pi

What is the greatest common factor between 5,11

harkovskaia [24]

1 is the answer because it is

3 0

4 years ago

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Beach ball has a diameter of 10 in what is the volume of air contained inside the beach ball

kicyunya [14]

The formula for volume of a sphere is $\frac{4}{3} \pi r^{3}$
To get radius from diameter, we must divide it by 2. 10/2=5, meaning the radius is 5 in.
Now, we just need to plug the values into the equation.
$\frac{4}{3} \pi 5^{3} = \frac{4}{3} \pi 125 = 166.67 \pi = 523.61 in^{3}$

5 0

3 years ago

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Explain how you can find the missing number and 3 4/5 divided by something equals 2 5/7 then find the missing number

enyata [817]

let's firstly, convert the mixed fractions to improper, and then do equation.

$\bf \stackrel{mixed}{3\frac{4}{5}}\implies \cfrac{3\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{19}{5}}
~\hfill
\stackrel{mixed}{2\frac{5}{7}}\implies \cfrac{2\cdot 7+5}{7}\implies \stackrel{improper}{\cfrac{19}{7}}
\\\\[-0.35em]
\rule{34em}{0.25pt}$

$\bf \cfrac{~~\frac{19}{5}~~}{x}=\cfrac{19}{7}\implies \cfrac{~~\frac{19}{5}~~}{\frac{x}{1}}=\cfrac{19}{7}\implies \cfrac{19}{5}\cdot \cfrac{1}{x}=\cfrac{19}{7}\implies \cfrac{19}{5x}=\cfrac{19}{7}
\\\\\\
\stackrel{}{\cfrac{7}{5x}=\cfrac{19}{19}}\implies \cfrac{7}{5x}=1\implies 7=5x\implies \cfrac{7}{5}=x\implies 1\frac{2}{5}=x$

5 0

3 years ago

Theresa’s computer at home has 1 terabyte of storage. How many more bits of storage does her computer have than the combined bit

posledela

Answer:

Not enough information provided

Step-by-step explanation:

To find the difference between one terabyte and the storage available to the other mediums, we would need to know the storage available to those mediums. They can all have potentially different amounts of storage space, so we have no way to answer that part of the question.

We can however find out how many bits her computer has. There are two lines of thought to follow though. kilo, mega, giga etc each generally note a multiple of 1000 in common terms. In computer tech though, the number 1024, or 2¹⁰, is often used instead.

Starting with the layman's powers of 10, a terabyte is a thousand gigabytes, which in turn is a thousand megabytes, which is a thousand kilobytes, which is a thousand bytes.

That means that a terabyte stores 1 × 10¹² bytes. A byte however is eight bits, giving us 8 × 10¹² bits.

Using the nerdier powers of 2 then, a byte is eight bits, so we'll call that 2³. We then go up by multiples of 2¹⁰. With the same logic above, a terabyte is 2¹⁰ gigabytes, which is 2¹⁰ megabytes, which is 2¹⁰ kilobytes, which is 2¹⁰ bytes. Adding the exponents up, then a terabyte would be 2⁴³ bits

So depending on whether you use the powers of ten or powers of 2 conventions, then a terabyte is either 8 × 10¹² bits, or 2⁴³ bits.

If you want to express the latter as a power of ten for proper scientific notation, then it would be 8.796093022208 × 10¹² - a rather useless way of expressing it, but just to cover all bases.

3 0

3 years ago

For what values of $x$ is it true that $x^2 - 5x - 4 \le 10$? Express your answer in interval notation.

dybincka [34]

Answer:

x ∈ [-2, 7]

Step-by-step explanation:

The given equation ...

x^2 -5x -4 ≤ 10

can be rewritten as ...

x^2 -5x -14 ≤ 0

and factored as ...

(x +2)(x -7) ≤ 0

Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.

x ∈ [-2, 7]

5 0

3 years ago