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docker41 [41]
2 years ago
5

Consider an isosceles trapezoid rotated about an axis of symmetry that passes through the midpoint of the bases. the minor base

of the trapezoid is 10 cm and the major base is 13 cm. what is the perimeter of the horizontal cross section if the cut is made at the middle of the height of the trapezoid?
Mathematics
1 answer:
Ronch [10]2 years ago
3 0

Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.

<h3>How to calculate the perimeter?</h3>

In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.

<u>Given the following data:</u>

  • Minor base = 10 cm.
  • Major base = 13 cm.

From the middle, the diameter of this circle is given by:

D = 1/2 (10 + 13)

D = 11.5 cm.

Now, we can calculate the perimeter:

Perimeter = πD

Perimeter = 3.142 × 11.5

Perimeter = 36.13 cm.

Read more on trapezoid here: brainly.com/question/4758162

#SPJ1

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Two figures are shown. EFJL is dialation of ABIK AB has a length of 12 and EF has a length of 3
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The scale factor of dilation from AB to EF is 0.25

<h3>How to determine the scale factor of dilation?</h3>

The given parameters are:

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  • EF has a length of 3

From the above parameters, side lengths AB and EF are corresponding sides

This means that:

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brainly.com/question/15891755

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4 0
2 years ago
A water balloon slingshot launches its projectiles essentially from ground level at a speed of 25.5 m/s . (You can ignore air re
lozanna [386]
A) The longest horizontal distance is reached at 45 degrees angle. This is true for any projectile launch.

B) First, calculate fligth time (using the vertical motion) and then calculate the horizontal movement.

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ascendent time => final vertical velocity, Vy, = 0

sin(45) = Voy / Vo => Voy = Vosin(45) = 25.5 m/s * (√2) / 2 = 18.03 m/s

Vy = Voy - gt = 0  => Voy = gt = t = Voy / g

Use g = 10 m/s^ (it is an aproximation, because the actual value is about 9.81 m/s^2 depending on the latitud)

t = 18.03 m/s / 10 m/s^2 = 1.83 s

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The flight time is 2*1.83 = 3.66 s

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Horizontal velocity = Vx = constant = Vox = Vo*cos(45) = 18.03 m/s

Vx = x / t => x = Vx*t

Horizontal distance = xmax = 18.03m/s*3.66 s = 65.99 m

c) The time the ballon will be in the air was calculated in the part B, it is 18.03 s
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Which graph represents the compound inequality?<br> n&lt;-2 or n &gt; 4
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