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Sati [7]
2 years ago
10

An isosceles trapezoid has a perimeter of 108 metres. Its shorter base measures 11.5 metres and its longer base measures 28.1 me

tres. The two remaining sides have the same length; what is that length?
Mathematics
1 answer:
kati45 [8]2 years ago
5 0

The length of one of the remaining sides is 34.20 meters.

<h3>What is the length?</h3>

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs

Perimeter of an isosceles trapezoid =  sum of lengths of sides of a trapezoid

length of shorter base + length of longer base + (2 x legs)

108 = 11.5 + 28.1 + (2 x legs)

108 = 39.60 + (2 x legs)

108 - 39.60 =  (2 x legs)

68.40 =  (2 x legs)

leg = 68.40 / 2

= 34.20 meters

To learn more about trapezoids, please check: brainly.com/question/25748893

#SPJ1

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8 0
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Zepler [3.9K]

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4,3

Step-by-step explanation:

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A particular curve is represented parametrically by x=cost, y=−sint, t∈[0,2π]. (a) As t increases on [0,2π], in which direction
cestrela7 [59]

Answer:

a) clockwise sense

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c) y ∈ [0,1]

Step-by-step explanation:

a) x = cos (t)       y = -sin (t)

for t ∈ [ 0 , 2π ]

for t = 0   point  P  is    x = cos (0)   =  1   y = -sin (0)   y = 0

The point is on the x axis

Now let´s see what happens for t = π/4  

x = cos (π/4)    x = √2/2    and   y = - sin (π/4)    y = - √2/2

Note  π/4 is 45°

The coordinates of the new point P ´(t = π/4) are in the fourth quadrant

that means the point is moving clockwise sense.

b) x = cos(t)

   y = -sin(t)

Squaring on both sides of each equation we get:

x²  = cos²t

y²  = sin²(t)

Adding side by side

x²  +  y² = cos²t  + sin²t

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Step-by-step explanation:

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3 years ago
At the movie theater the prince on 1 adult ticket and 4 child tickets is $44 the price of 5 adults tickets and 2 child tickets i
nydimaria [60]

The cost of one adult ticket is $12 and cost of one child ticket is $8.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

x+4y=44    Eqn 1

5x+2y=76   Eqn 2

Multiplying Eqn 1 by 5

5(x+4y=44)\\5x+20y=220\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

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Dividing both sides by 18

\frac{18y}{18}=\frac{144}{18}\\y=8

Putting y=8 in Eqn 1

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The cost of one adult ticket is $12 and cost of one child ticket is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/1357167
  • brainly.com/question/1386181

#LearnwithBrainly

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