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Doss [256]
3 years ago
15

1. The height of one square pyramid is 12 m. A similar pyramid has a height of 6 m. The volume of the larger pyramid is 400 m3.

Determine each of the following, showing all your work and reasoning.
(a) Scale factor of the smaller pyramid to the larger pyramid in simplest form
(b) Ratio of the areas of the bases of the smaller pyramid to the larger pyramid
(c) Ratio of the volume of the smaller pyramid to the larger
(d) Volume of the smaller pyramid

answer all four parts? thank you so much

Mathematics
1 answer:
allsm [11]3 years ago
6 0
The answer is most likely b, i am testing something so don't mind my comment
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let's first off  convert those mixed fractions to improper fractions, then get their difference.

\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}~\hfill \stackrel{mixed}{2\frac{1}{10}}\implies \cfrac{2\cdot 10+1}{10}\implies \stackrel{improper}{\cfrac{21}{10}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{21}{10}-\cfrac{3}{2}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{(1)21-(5)3}{10}}\implies \cfrac{21-15}{10}\implies \cfrac{6}{10}\implies \cfrac{3}{5}

now, the original amount, 3/2, if that is the 100%, what is 3/5 off of it in percentage?

\bf \begin{array}{ccll} amount&\%\\ \cline{1-2}\\ \frac{3}{2}&100\\\\ \frac{3}{5}&x \end{array}\implies \cfrac{~~\frac{3}{2}~~}{\frac{3}{5}}=\cfrac{100}{x}\implies \cfrac{3}{2}\cdot \cfrac{5}{3}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40

4 0
3 years ago
Let the random variable X denote the number of network blackouts in a day. The
faltersainse [42]
E(X) = 0(0.7) + 1(0.2) + 2(0.1) = 0.2 + 0.2 = 0.4
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Var(X) = 0(0.7 - 0.4)^2 + 1(0.2 - 0.4)^2 + 2(0.1 - 0.4)^2 = 0.04 + 0.18 = 0.22
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3 years ago
Elyse wants to buy a new softball glove that costs $45. She has $15 and plans to save 5 each week. How many weeks will it take h
almond37 [142]

Answer:

6 weeks :)

Step-by-step explanation:

it will take her 6 weeks

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8 0
3 years ago
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valina [46]
3.5 is the answer!!!
5 0
3 years ago
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Simon has a certain length of fencing to enclose a rectangular area. The function AAA models the rectangle's area (in square met
pav-90 [236]

Answer:

When there is no width, the area is 0m²

Step-by-step explanation:

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When x :

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Area = 0

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4 0
3 years ago
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