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Mrac [35]
2 years ago
6

While facing north, Lisa and Aaron decide to hike to their campsite. Lisa plans to hike 5 miles due north to Lake

Mathematics
1 answer:
klemol [59]2 years ago
4 0

Use law of cosines

a^2 + b^2 - 2ab cos (theta)   = c^2          c is the distance she will have to hike       a = 7.4 m  b = 5 m   theta =38 degrees    

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3) Mr. Brust is addicted to Red Bull and has decided that he wants to plaster his room at school with Red Bull cans.
Bogdan [553]

Mr. Brust needs 427 cans to cover the wall of dimensions 20 feet long and 9 feet tall.

<h3>What is area of rectangle?</h3>

Area of rectangle is the product of its sides

i.e., Area of rectangle = length  x breadth

<h3>What is area of circle?</h3>

The area of a circle is pi times the radius squared (A = π r²).

<h3>What is circumference of circle?</h3>

The circumference of a circle is defined as the linear distance around it.

( C= 2πr)

The can of red bull is in shape of cylinder.

If we open the cylinder it will have two circular surfaces( at bottom and top) and one rectangular sheet.

Like the given figure given.

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It shows that the two circle will have the diameter 2.5 inches.

d= 2.5 inch

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radius, r= \frac{d}{2}

r= \frac{0.208}{2}

r= 0.104 ft

  • To get the length of the rectangle , we have to calculate the circumference of the circle.

Circumference of the circle be,

= 2πr

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The rectangular sheet will have,

length=  0.653 ft, breadth= 6.5 inches = 0.541 ft

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      = length x breadth

      = 0.653 x 0.541

      =0.3532  ft^{2}

  • Area of 2 circle( top and bottom of can) be,

       = 2 x πr^{2}

       = 2 x 3.14 x 0.104 x 0.104

       = 6.28 x 0.010816

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        = Area of rectangular sheet + Area of 2 circle( top and bottom of can)

        = 0.3532 + 0.0679

        = 0.4211 ft^{2}

Now, we have the wall of dimensions

length= 9 ft, breadth= 20 ft

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= length x breadth

=9 x 20

= 180 ft^{2}

  • Number of cans required to cover the whole wall be,

         =\frac{area \;of\; wall}{area \;of\; can}

         =\frac{180}{0.4211}

         = 427.45 cans

         ≈ 428 cans

Learn more about the concept of area here:

brainly.com/question/16193772

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Answer:

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Step-by-step explanation:

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<u>Step 2: Simplify</u>

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