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Artemon [7]
3 years ago
9

At a video store, renting 5 new releases costs $22.50 and renting 4 old videos costs $10.00. How much would it cost to rent 2 ne

w releases and 6 old videos? Answer Choices $7.00 $24.00 $32.00 $105.00
Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0
$24.00 is the answer. I got that answer by dividing the total cost of the 5 new releases by 5 to find out how much each costs by itself. I then divided the total cost of the 4 old videos by 4 to find the individual cost for those. I then took the individual cost of the new releases and multiplied it by 2. I added that number with the individual cost of the old videos multiplied by six. The final answer is twenty four dollars. Hope this helped.
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A stop sign is a regular octagon. The standard stop sign has a 16.2 inch radius. The area of a standard stop sign is ___________
juin [17]

The area of standard stop sign regular octagon is 742.3 squared inches, if the standard stop sign has a 16.2 inch radius.

Step-by-step explanation:

The given is,

               Radius of standard stop sign is 16.2 inch radius

Step:1

              The regular octagon is equal to the 16 right angled triangle,

                    Angle of right angle triangle  = \frac{360}{16} = 22.5°

              Ref attachment,

              From the OAB right angle triangle,  

              Trigonometric ratio,

                                 sin ∅ = \frac{Opp}{Hyp}        

              Where, ∅ = 22.5°

                           Hyp = Radius = 16.2 inches

              Ratio becomes,

                           sin 22.5°= \frac{b}{16.2}

                                       b = (0.374607)(16.2)

                                       b = 6.19947 inches

             Trigonometric ratio,

                                 cos ∅ = \frac{Adj}{Hyp}        

              Where, ∅ = 22.5°

                           Hyp = Radius = 16.2 inches

                            Adj = h

              Ratio becomes,

                           cos 22.5°= \frac{h}{16.2}

                                       h = (0.9238795)(16.2)

                                       h = 14.967 inches

Step:2

           From the triangle OAC,

                             Area, A = \frac{1}{2} (Height )( Base)

          Where, Height = 14.967 inches

                       Base = b + x = 6.19947 + 6.19947

                                             = 12.3989 inches

           From the values equation becomes,

                                       A = \frac{1}{2} (14.967)(12.39894)

                                       A = 92.7875 Squared inches

Step:3

           The octagon is equal to sum of 8 triangles

            Area of octagon = 8 × Area of triangle

                                        = 8 × 92.7875

                                        = 742.3 squared inches

Result:

        The area of standard stop sign regular octagon is 742.3 squared inches, if the standard stop sign has a 16.2 inch radius.

 

                               

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Answer:

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explanation: Sorry i couldn’t finish and i hope these are correct! I’m not that good at math but good luck
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melamori03 [73]

Answer:

"a particular attitude or way of considering a matter. "

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