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2 years ago

Simplify. Enter your answer, in simplest radical form, in the box.

Mathematics

2 answers:

puteri [66]2 years ago

5 0

24.75 rounded might be 25

Maru [420]2 years ago

3 0

Note that -99 is not in the domain of the square root function, so there is no real answer here.

On the other hand, if the imaginary number i = √(-1) is known and understood in this context, then 4√(-99) = 4*i*√99 = 4*i*3*√11

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How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

Now, Volume of cube with length (l) = l³ cm³

Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

Again , Volume of prism = $\frac{1}{2}\times Length \times width \times height$

Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

8 0

2 years ago

Need a bit of help with this question:

DiKsa [7]

Firstly let's find hypotenuse(let it will be "n" of smaller triangle

Let use Pythagorean theorem

$a^{2} + {b}^{2} = {n}^{2} \\ {20}^{2} + {10}^{2} = {n}^{2} \\ n = \sqrt{500}$

Now we need to find hypotenuse(x) of bigger triangle

${c}^{2} + {n}^{2} = {x}^{2} \\ {9}^{2} + { \sqrt{500} }^{2} = {x}^{2} \\ x = \sqrt{581}$

The value of x must be rounded to 1 DP, so

$\sqrt{581} = 24.1039... \\ \sqrt{581} \simeq \: 24.1$

Answer: x=24.1

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Andrej [43]

Answer:

I think the answer is mary

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Klio2033 [76]

Step-by-step explanation:

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Elodia [21]

Sorry i dont know the answer

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