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3 years ago

Why can you double the volume of a right prism by doubling either the height or the area of the base?

Mathematics

1 answer:

krok68 [10]3 years ago

3 0

Answer: You can double the volume of te right prism by doubling either the height of the area of the base because if you do that it will either get double the height, therefore being double the size, or double the width, therefore being double the size as well. So the volume will also be double.

Step-by-step explanation:

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The recursive rule for a sequence is an=an-1+7, where a1=15.What is the explict rule for this sequence

posledela

well, the recursive rule of aₙ = aₙ₊₁ + 7, where a₁ = 15, is simply saying that

we start of at 15, and the next term is obtained by simply adding 7, and so on.

well, that's the recursive rule.

so then let's use that common difference and first term for the explicit rule.

$\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=15\\ d=7 \end{cases} \\\\\\ a_n=15+(n-1)7\implies a_n=15+7n-7\implies a_n=7n+8$

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3 years ago

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3 years ago

The calculated average of a data set best describes which of the following

sasho [114]

The calculated average of a data set best describes A: Mean.

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3 years ago

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nikdorinn [45]

Answer:

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Step-by-step explanation:

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3 years ago

If AB = 8 and BC = 24, then AC =<br><br> If AB = 17 and AC = 68, then BC =

Kryger [21]

Answer:

(i) The length of AC is 32 units, (ii) The length of BC is 51 units.

Step-by-step explanation:

(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

$AC = AB + BC$

If we know that $AB = 8$ and $BC = 24$ , then:

$AC = 8 + 24$

$AC = 32$

The length of AC is 32 units.

(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:

$AC = AB + BC$

$BC = AC - AB$

If we know that $AC = 68$ and $AB = 17$ , then:

$BC = 68-17$

$BC = 51$

The length of BC is 51 units.

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4 years ago