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3 years ago

11

Jon wants to make a tent that is in the shape of a square pyramid. If the length of the square is 5 feet and the height of the t

ent is 6 feet, how much space will be in the tent? (Do not include the units).

1 answer:

barxatty [35]3 years ago

6 0

It is 300

Step-by-step explanation:

6*5 multiply them times bye 2

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Carmen measured a room to be 10 1/2 feet by 12 5/8 feet. what is the area of the room written as a decimal?

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Area = l * w

A = 10 1/2 * 12 5/8

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3 years ago

HELP PLZ RN<3<br> which graph displays a rate of change of 2.5?

Ilya [14]

Answer:

The second graph.

Step-by-step explanation:

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The last graph isn't steep enough to show a rate of 2.5.

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3 years ago

Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.

Hitman42 [59]

$\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
\\\\\\
sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\$

$\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
\\\\\\
sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
\\\\\\
\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
\\\\\\
\textit{and now, let's rationalize the denominator}
\\\\\\
\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}
$

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3 years ago

When the smaller of two consecutive integers is added to four times the larger, the result is 49. Find the integers.

ryzh [129]

$4(n+1)+n=49\\
4n+4+n=49\\
5n=45\\
n=9\\
n+1=10
$

These numbers are 9 and 10.

8 0

3 years ago