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kondaur [170]
3 years ago
6

2

Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

Answer:

16.5 hours

Step-by-step explanation:

The bicycle costs $240.  Eva already has $42.  She is making $12 per hour.

240 = 12x + 42

Solve for x to find out how many hours Eva needs to work to buy the bicycle.

240 = 12x + 42

240 - 42 = (12x + 42) - 42

198 = 12x

198/12 = (12x)/12

16.5 = x

Eva needs to work 16.5 hours to be able to buy the bikw.

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<u>Answer:</u>

\sf x = 60^{\circ \:}

<u>given:</u>

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Use the distance formula to find the perimeter of the triangle below. Round you answer to the nearest hundredth. ​
Murrr4er [49]

<u>jAlright, let's take this problem step-by-step</u>:

<u>What is the perimeter</u>:

 ⇒ all the side-lengths added up

    ⇒ <em>need</em> to find side-length using distance formula

                Distance_._. Formula=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

                         - (x₁,y₁): first point

                         - (x₂,y₂): second point

<u>Let's solve</u>:

  • Find length of <em>AC</em>

           ⇒ <em>first point</em>: (5,7)

<em>            ⇒ second point: </em>(3,3)

<em>            </em>Distance =\sqrt{(3-5)^2+(3-7)^2} =\sqrt{4+16} =\sqrt{20} =4.472

  • Find length of AB

          ⇒ <em>first point:</em> (5,7)

<em>           ⇒ second point:</em>(8,6)

<em>            </em>Distance=\sqrt{(8-5)^2+(6-7)^2} =\sqrt{9+1} =\sqrt{10}=3.162

  • Find length of BC

          ⇒<em> first point: </em>(8,6)

<em>           ⇒ second point: </em>(3,3)

<em>            </em>Distance = \sqrt{(3-8)^2+(3-6)^2} =\sqrt{25+9} =\sqrt{34}=5.831

<u>Now let's solve for the perimeter</u>:

  Perimeter = 4.472+ 3.126+ 5.831=13.429

<u>Answer: 13.43</u> (<em>rounded to the nearest hundredth)</em>

Hope that helps!

#LearnwithBrainly

<em>               </em>

5 0
2 years ago
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