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Marianna [84]
4 years ago
13

Which choices are equivalent to the expression below? check all that applies please

Mathematics
2 answers:
andre [41]4 years ago
7 0
Choices A, C and F work. This is because when in radical form, you may dive or subtract as long as you keep the sign. The square root of 9 is 3 and the square root of 4 is 2. When you solve it, the answer is 6. Hope this helped!
chubhunter [2.5K]4 years ago
3 0
A,C, F
\sqrt{4}  \times  \sqrt{9}
can be rewrite as,
2 * 3
sqrt(36)
6
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The two rectangular prisms are similar. What is the volume of the larger rectangular prism?
Brums [2.3K]

The question is missing the figure which is attached below.

Answer:

1620 cm³

Step-by-step explanation:

Given:

The two prisms are similar.

Volume of the smaller prism (V₁) = 60 cm³

Length of the smaller prism (l₁) = 5 cm

Length of the larger prism (l₂) = 15 cm

Now, we know that, for similar figures, the dimensions of the figure are in proportion to each other. Therefore,

\frac{l_2}{l_1}=\frac{b_2}{b_1}=\frac{h_2}{h_1}=k(constant)\\\\Where,\\b_1,b_2\to\ widths\ of smaller\ and\ larger\ prisms\ respectively\\\\h_1,h_2\to\ heights\ of\ smaller\ and\ larger\ prisms\ respectively

\frac{l_2}{l_1}=\frac{15\ cm}{5\ cm}=3\\\\\therefore\ k=3

This means that, the smaller figure is dilated by a scale factor of 3.

Hence, l_2=3l_1,b_2=3b_1,h_2=3h_1

Volume of smaller prism is given as:

V_1=l_1b_1h_1\\\\l_1b_1h_1=60\ cm^3

Volume of larger prism is given as;

V_2=l_2b_2h_2\\\\V_2=3l_1\times 3b_1\times 3h_1\\\\V_2=27(l_1 b_1h_1)\\\\V_2=27\times 60=1620\ cm^3\ \ \ \ [\because\ l_1b_1h_1=60\ cm^3]

Therefore, the volume of the larger rectangular prism is 1620 cm³.

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In fact, the squares of primes are the only positive integers with precisely three factors. For instance, 1, 3, and 9 are the factors of 9, and 1, 7, and 49 are the factors of 49.

If a given number, such as x2, is perfect square, and its square root is prime, it must have precisely three different factors.

Here,

We are aware that the numbers 4, 9, 25 and 49 are among those between 1 and 100 that have precisely three elements.

1, 2, and 4 are the four factors. 1, 3, and 9 are the factors of 9.

Learn more about factors here;

brainly.com/question/103907

#SPJ4

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Which mathematician’s collected works are by far the largest
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