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geniusboy [140]
3 years ago
9

Which statement is true of every plane in three-dimensional space?

Mathematics
2 answers:
olga55 [171]3 years ago
7 0
<span>Every plane must have three intercepts.

proof, every  point P in a </span><span>plane in three-dimensional space is written as  P=(x, y, z), x, y and z are intercepts.

</span>
leonid [27]3 years ago
4 0

Answer:

option A is correct.(Every plane must have three intercepts.)

Step-by-step explanation:

" Three-dimensional space (also: 3-space or, rarely, tri-dimensional space) is a geometric setting in which three values (called parameters) are required to determine the position of an element (i.e., point). This is the informal meaning of the term dimension "

The intercept form of the equation of plane in 3-D is given by:

\dfrac{x}{l}+\dfrac{y}{m}+\dfrac{z}{n}=1

Where l,m,n are intercepts of x,y,z axes and a plane respectively.

Hence, we require all the three intercepts of a every plane.

Hence, option A is correct.

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Find the surface area of the composite figure.
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With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.

<h3>What is the surface area of a truncated prism?</h3>

The <em>surface</em> area of the <em>truncated</em> prism is the sum of the areas of its six faces, which are combinations of the areas of rectangles and <em>right</em> triangles. Then, we proceed to determine the <em>surface</em> area:

A = (12 cm) · (4 cm) + 2 · (3 cm) · (4 cm) + 2 · (12 cm) · (3 cm) + 2 · 0.5 · (12 cm) · (5 cm) + (5 cm) · (4 cm) + (13 cm) · (4 cm)

A = 48 cm² + 24 cm² + 72 cm² + 60 cm² + 20 cm² + 52 cm²

A = 276 cm²

With the help of the <em>area</em> formulae of rectangles and triangles and the concept of <em>surface</em> area, the <em>surface</em> area of the composite figure is equal to 276 square centimeters.

To learn more on surface areas: brainly.com/question/2835293

#SPJ1

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