Determine the volume of a rectangle box with a link of 5 inches height of 7 inches and the width of 9 inches

Mathematics

1 answer:

taurus [48]3 years ago

8 0

The answer is 315. just multiply all of the numbers.

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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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2 years ago

What is an algebraic expression for the following word phrase: "6 times the difference of b and p?"

Marat540 [252]

1. B
2. C
There you go! :)

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3 years ago

One property of parallelograms not shown in the interactive is that the opposite sides are parallel. Given a parallelogram, how

neonofarm [45]

<span>The opposite sides can be proven parallel to each other if the lines would not intersect each other if the lines were much longer. It should also have the same straight horizontal measurement of distance in between the space. Measurement of parallel lines in a parallelogram can be determined using the slope formula.</span>

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3 years ago

For the function f (x)= 3\4x −5ˏ what is f (16)

iris [78.8K]

Basically you substitute 16 in for x.
f(16) = 3/4(16) - 5
f(16) = 12 - 5
f(16) = 7

6 0

2 years ago

Read 2 more answers

In a class of 25 students, 18 of them brought in permission slips for a field trip.

natali 33 [55]

Answer:

A.18/25

B.72% of them brought in their permission slips

C.0.72

D.There the exact same value and we would divide by 100 to go from percentage to decimal and multiply by 100 to go to decimal to percentage Sign.

Step-by-step explanation:

3 0

2 years ago