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andreev551 [17]
1 year ago
8

The height of the Empire State Building is 1250 feet tall. Your friend, who is 75 inches tall, is standing nearby and casts a sh

adow that is 33 inches long. What is the length of the shadow of the Empire State Building? Please help me draw triangles
Mathematics
1 answer:
Lyrx [107]1 year ago
6 0
Answer:

The length of the building's shadow = 550.66 ft

Explanations:

The height of the Empie State Building = 1250 feet

The friend's height = 75 inches

The length of the friend's shadow = 33 inches

\frac{Actual\text{ height of the friend}}{\text{Length of the friend's shadow}}=\text{ }\frac{Height\text{ of the building}}{\text{Length of the building's shadow}}\begin{gathered} \frac{75}{33}=\text{ }\frac{1250}{\text{Length of the building's shadow}} \\ 2.27\text{ =  }\frac{1250}{\text{Length of the building's shadow}} \\ \text{Length of the building's shadow = }\frac{1250}{2.27} \\ \text{Length of the building's shadow = }550.66\text{ f}et \end{gathered}

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Multiply the additive inverse of (-7/8) by the reciprocal of (5 1/2)​<br><br>PLEASE HELP!
EleoNora [17]

Answer:

\bold {$\dfrac{7}{44}$}

Step-by-step explanation:

<h3> Reciprocal:</h3>

    \sf \text{The reciprocal of any number $\dfrac{a}{b}$ is given by $\dfrac{b}{a}$}\\\\5\dfrac{1}{2}=\dfrac{11}{2}\\\\\text{Reciprocal of $\dfrac{11}{2}$  = $\dfrac{2}{11}$}

<h3>Additive inverse:</h3>

 \text{Additive inverse of $\dfrac{-7}{8}$=$\dfrac{7}{8}$}

        Now multiply,

          \sf \dfrac{7}{8}*\dfrac{2}{11}=\dfrac{7}{4}*\dfrac{1}{11}\\

                      =\dfrac{7}{44}

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2 years ago
A book has 55 pages with pictures and 45 pages without pictures, which ratio relationship is shown by the pages in the book?
suter [353]

Answer:

11 pages with picture to every nine pages without pictures. or 11 per every 9

Step-by-step explanation:

divide each number by a common denominator, in this case 5, to get a change from 55 per every 45 to 11 per every 9.

8 0
3 years ago
Please please help me with this
MrMuchimi

Answer:

y = 9x - 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 38) and (x₂, y₂ ) = (8, 61)

m = \frac{61+38}{8+3} = \frac{99}{11} = 9, thus

y = 9x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 61), then

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y = 9x - 11 ← equation of lie

3 0
3 years ago
How tall is the tree?<br> 5ft<br> 35°<br> -20ft-<br> [? ]ft
SVEN [57.7K]

Answer:

  • \boxed{\bf 19ft}

Step-by-step explanation:

\bf tan\:\theta =\cfrac{opp}{adj}

\bf tan(35^o)=\cfrac{x}{20}

\bf 20\;tan (35^o)=x

\bf 14ft=x

<u>The height of the tree:-</u>

  • \bf x+5ft
  • \bf 14ft+5ft
  • \bf 19ft
3 0
2 years ago
Read 2 more answers
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