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LenKa [72]
3 years ago
5

The price for the items ordered at lunch was $23.45. How much would the price be after you tip 20%?

Mathematics
1 answer:
kotykmax [81]3 years ago
8 0
The price for the items ordered at lunch was $23.45.Now, let's find how much would the price be after you tip 20%?Important data:=> 23.45 dollars = total amount that was billed to your ordered items.=> 20% (20% /100% =.20) = the tip the you will be giving base on the amount you were charged for the items you bought.Now, since I already converted the 20% to decimal, let's start solving.=> 23.45 * . 20 = 4.69 dollarsNow, let's add<span>=> 23.45 + 4.69 = 28.14 dollars</span>
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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
  • Perpendicular = ?

\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}

‎ㅤ‎ㅤ‎ㅤ~<u>H</u><u>e</u><u>n</u><u>c</u><u>e</u><u>,</u><u> </u><u>the </u><u>distance </u><u>from </u><u>the </u><u>top </u><u>of </u><u>the </u><u>ladder </u><u>to </u><u>the </u><u>ground </u><u>is </u><u>2</u><u>2</u><u>.</u><u>3</u><u>2</u><u> </u><u>feet </u><u>!</u>

\rule{300pt}{2pt}

4 0
2 years ago
Can someone please help me with this math question?
mash [69]
3b+3s will be the answer
8 0
3 years ago
What is the solution set for the open sentence with the given replacement set? 4y + 2 = 18, {4, 5, 6, 7}
4vir4ik [10]
+2 crosses the equal sign to become 4y=18-2,as 18-2=16 so you get 4y=16 and finally divide both sides by 4,as 4 goes into 16,4 times,therefore,y=4
6 0
3 years ago
Read 2 more answers
Hannah and Dawson have both invested money in savings accounts with APYs of 3.2%. If Hannah's account has a balance of $31,000 a
9966 [12]

Answer:

$341.07

Step-by-step explanation:

Hanna and Dawson both invested at 3.2% = 0.032

Hannah has balance of 31,000 in account

Dawson has balance of 42000 in account

Interests earned by both are

1)Hannah -P(1+i)^-n

=31000(1+0.032)^-1

=31000(1.032)^-1

=31000(0.968992)

=$30038.752

=$30038.75

Interest earned by Dawson is $31,000 - $30038.75 = $961.25

2)Dawson-  P(1+i)^-n

=42000(1+0.032)^-1

=42000(1.032)^-1

=42000(0.968992)

=$40697.664

=$$40697.664

Interest earned by Dawson is $42,000 - $40697.66= $1302.32

3) Hence the amount that Dawson earns than is:

=$1302.32-$961.25

= $341.07

3 0
3 years ago
What is the equation of the given circle?
azamat

Answer:

the last choice

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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