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3 years ago

15

A pencil box has dimensions of: 6 1/2 inches, 3 1/2 inches, and 1 1/2 inches, respectively. Approximately, how many cubes with s

ide lengths of 1/2 inches would be needed to fill the prism?

1 answer:

Inessa05 [86]3 years ago

3 0

It would be approximately 50 cubes

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Expression for the quotient of b divided by the difference of two minus 3

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Answer:

The required expression is

$\frac{b}{2 - 3} = - b$

Step-by-step explanation:

Difference of two minus three = 2-3

Quotient of b divided by the difference of two minus three is

$\frac{b}{2-3} = \frac{b}{-1} = - b$

Therefore, the required expression is

$\frac{b}{2-3} \ \ \ \ \ \ \ \ or \ \ \ \ \ \ \ \ - b$

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Step-by-step explanation:

Let

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2 years ago

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3 years ago

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to estimate the height of the jin mao tower in shanghai , a tourist sights the top of the tower form a mirror that is 86.7 meter

Ray Of Light [21]

Answer:

The height of the tower = 420.48 meters

Step-by-step explanation:

For better understanding of the solution, see the figure attached below :

Let the height of the tower be x meters

Now, using the laws of reflection : angle of reflection = angle of incidence

Also, both the tower and the tourist are standing parallel to each other

⇒ ∠A = ∠i ( Alternate interior angles are equal)

Similarly, ∠D = ∠r ( Alternate interior angles)

But, ∠i = ∠r

⇒ ∠A = ∠D

Also, the tourist and the tower is perpendicular to the ground surface.

⇒ m∠B = m∠E = 90°

Now, in ΔABC and ΔDEC

∠A = ∠D (Proved above)

m∠B = m∠E = 90°

So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC

As the sides of similar triangles are proportional to each other

$\frac{AB}{DE}=\frac{BC}{EC}\\\\\implies\frac{1.92}{x}=\frac{0.4}{87.6}\\\\\implies x=\frac{87.6\times 1.92}{0.4}\\\\\bf\implies x = 420.48\textbf{ meters}$

Hence, The height of the tower = 420.48 meters

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3 years ago