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Molodets [167]
2 years ago
10

A figure is located at (2, 0), (2, -3), and (5, 0) on a coordinate plane. What kind of 3-D shape would be created if the figure

was rotated around the x-axis? Include the dimensions of the 3-D shape.
Answer: 3-D Shape: _____ Height: _____ Diameter: _____

Mathematics
1 answer:
expeople1 [14]2 years ago
5 0

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

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The student at Abu 's School voted for a new school mascot. 60% of the students voted to be the Falcons. If there are 595student
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<h2><u>Given</u><u> </u><u>:</u><u>-</u></h2>
  • There are 595 total students in the school .
  • 60% of the total students voted to be the falcons .

\large\bf{\underline{To \:find }}

  • How many students voted not to be in falcon ?

\large\bf{\underline{Therefore  }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 100 - 60 = 40

  • 40% of the total students voted not be in falcon

\large\bf{\underline{Hence }}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹ 40% of 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= \frac{40}{100}  \times 595

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2 \times 119

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= 238

\bf{\underline{So , 238 \: students \:voted \:not\:to \:be\:in\: falcon }}

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