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geniusboy [140]

3 years ago

9

a pyramid with a square base that is 9 cm on a side has a height of 10 cm the volume of the pyramid is

1 answer:

Zanzabum3 years ago

4 0

$\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh~~
\begin{cases}
B=area~of\\
\qquad its~base\\
h=height\\[-0.5em]
\hrulefill\\
B=\stackrel{9\times 9}{81}\\
h=10
\end{cases}\implies V=\cfrac{1}{3}(81)(10)\implies V=270$

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You need a mean of at least 90 points to advance to the next round of the touch-screen trivia. What score in the fifth game will

lianna [129]

Answer:

At least 98 is needed in the 5th game

Step-by-step explanation:

The missing parameters are:

$Game\ 1 = 95$

$Game\ 2 = 91$

$Game\ 3 = 77$

$Game\ 4 =89$

$Mean = 90$ at least

Required

The score in game 5 to make you advance

Mean is calculated as:

$Mean = \frac{\sum x}{n}$

So, we have:

$Mean = \frac{95 + 91 + 77 + 89 + Game\ 5}{5}$

$Mean = \frac{352 + Game\ 5}{5}$

The mean must be at least 90.

So, we have:

$\frac{352 + Game\ 5}{5} \ge 90$

Multiply both sides by 5

$5 * \frac{352 + Game\ 5}{5} \ge 90 * 5$

$352 + Game\ 5 \ge 450$

Make Game 5 the subject

$Game\ 5 \ge450 - 352$

$Game\ 5 \ge 98$

<em>At least 98 is needed in the 5th game</em>

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3 years ago

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aalyn [17]

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4vir4ik [10]

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3 years ago

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SashulF [63]

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$\frac{SinC}{28} = \frac{Sin92}{41}$

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5 0

3 years ago

Russell and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel. How long would i

Whitepunk [10]

Answer:

32 hours.

Step-by-step explanation:

Let x represent the time taken by Russell and Aaron to build the shed.

We have been given that Russell and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel.

Russell's work rate would be $\frac{1}{x}$ .

Since Aaron works three times as fast as Russel, so Aaron's work rate would be $\frac{3}{x}$ .

Part of work done by in one hour would be $\frac{1}{8}$ .

We can represent our given information in an equation as:

$\frac{1}{x}+\frac{3}{x}=\frac{1}{8}$

Let us solve for x.

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Therefore, it will take Russell 32 hours to build the shed working alone.

4 0

3 years ago