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babymother [125]
3 years ago
9

The bill for a stay in a hotel was $188 including $15 tax. what percent of the bill was the tax?

Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0
\frac{15}{188}\cdot100\%=\\\\\frac{1500}{188}\%\approx8\%\\\\The\ tax\ was\ about\ 8\%\ of \ bill.
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10 fifths

Step-by-step explanation:

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9. A ladder of length 23 feet leans against the side of a building. The angle of elevation of the ladder is 76. Find the distanc
irakobra [83]

<h3><u>Answer:</u></h3>

  • B) 22.32 feet

\quad\rule{300pt}{1pt}

<h3><u>Solution</u><u>:</u></h3>

we are given that , a ladder is placed against a side of building , which forms a right angled triangle . We wre given one side of a right angled triangle ( hypotenuse ) as 23 feet and the angle of elevation as 76 ° . We can find the Perpendicular distance from the top of the ladder go to the ground by using the trigonometric identity:

\qquad\quad\bull ~{\boxed{\bf{ Sin\theta =\dfrac{Perpendicular}{Hypotenuse}}} }~\bull

Here,

  • hypotenuse = 23 feet
  • \theta = 76°
  • Value of Sin\theta = 0.97
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\quad\dashrightarrow\quad \sf { sin\theta =\dfrac{P}{H}}

\quad\dashrightarrow\quad \sf { sin76° =\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf { 0.97=\dfrac{P}{23}}

\quad\dashrightarrow\quad \sf {P = 0.97 \times 23 }

\quad\dashrightarrow\quad \sf { P = 22.32}

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\rule{300pt}{2pt}

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2 years ago
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3 years ago
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Lets write down the information that we know.

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Jessie has 42 dimes, but then she found another one so lets add one more dime.

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Jessie has 8 stacks of 5 nickels, so Jessie has 8*5 nickels

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Jessie has 40 nickels, but then she found another one so lets add 1 to the total number of nickels.

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Now we can answer the question.

How many dimes and nickels does jessie have in all?

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