The 2 triangles are congruent
An inequality which compares the changes in elevation of this hot air balloon while in flight is given by L - 83 2/5 ≤ L ≤ L + 83.7.
<h3>What is an elevation?</h3>
An elevation is also referred to as an altitude and it can be defined as the vertical distance (height) above a natural satellite or the surface of planet Earth such as land or sea level.
This ultimately implies that, an elevation (altitude) simply refers to the vertical height (elevation) of an object or physical body above a particular location or planetary reference plane such as land or sea level on planet Earth.
<h3>What is an inequality?</h3>
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
For this exercise, let the variable L represent the initial height of this balloon. Also, since the hot air balloon decreased its elevation by 83 2/5 and increases its elevation by 83.7 meters, we have the following:
- The lower limit is equal to: L - 83 2/5.
- The upper limit is equal to: L + 83.7.
In this context, an inequality which models the changes in elevation of this hot air balloon is L - 83 2/5 ≤ L ≤ L + 83.7.
Read more on inequality here: brainly.com/question/6666926
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The area of a circular sector is <span>. </span>
<span>==> </span>
<span>Since r = s/2, it follows that </span><span>, or </span><span>, or </span>
<span>.
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Square root of 69,081 is 262.832646, so the answer to the nearest tenth will be 262.8. Good luck!
When the shape is rotated around the x-axis, a 3-D shape would be formed
The 3-D shape is a tetrahedron with radius 2 and height 4
<h3>How to determine the 3-D shape?</h3>
The coordinates of the figure are given as:
(2, 0), (2, −3), and (5, 0)
The above coordinates represent a triangle that has one of its sides on the x-axis.
So, when the shape is rotated across the axis, the other two lines would make a diagonal the side on the x-axis.
This movement would form a tetrahedron with the following dimensions
- Height = Distance (2, 0) and (5, 0) i.e. 3 units
- Radius = Distance (2, 0) and (2, −3) i.e. 3 units
Hence, the 3-D shape is a tetrahedron with radius 3 and height 3
Read more about three dimensional shapes at:
brainly.com/question/12280037
