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Sindrei [870]
3 years ago
7

Evaluate 6 to the power of -2

Mathematics
1 answer:
alex41 [277]3 years ago
7 0

Answer:

1/36

Step-by-step explanation:

6^-2 = 1/6^2 = 1/36.

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Explain how you would find 36 x 3/4 mentally
Alborosie
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we will simplify it in four's table
9×3=27
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Add.<br><br> 5/8+1/5<br><br> Enter your answer as a fraction in simplest form. no guessing ;)
zhenek [66]
First of all we want to find a common denominator so we can add them together.

40 is our Lowest Common Multiple.

5/8 = 25/40
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25/40 + 8/40 = 33/40


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2 years ago
A college student needs 11 classes that are worth a total of 40 credits in order to complete her degree. The college offers both
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3 years ago
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.

4 0
2 years ago
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