Answer: C. A rectangle.
Step-by-step explanation:
1. By definition, a cross section is the intersection of a plane and a body of three dimensions.
2. A pentagonal prism has a pentagon as its base and its lateral faces are rectangles.
3. If the pentagonal prism is cut by a plane perpendicular to the base, this means that the plane is parallel to lateral faces, then, the shape of the cross section that is formed is also a rectangle.
4. The answer is the option C.
Hey there!
Apply fraction cross multiply: if a/b = c/d , then a *d = b*c
2 ( 5x - 2 ) = ( 2x + 4 ) * 4
expand : 2 (5x-2 ) => 2*5x - 2*2 => 10x - 4
expand : ( 2x +4 ) * 4 => 2x * 4 + 4*4 => 8x + 16
10x - 4 = 8x+16
add 4 to both sides:
10x-4+4 = 8x+16+4
simplify :
10x = 8x + 20
subtract 8x from both sides:
10x -8x = 8x+20-8x
simplify:
2x = 20
Therefore:
x = 20 / 2
x = 10
Hope that helps!
Answer:
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Step-by-step explanation:
Given

--- distance from building
--- height of the building
Let the height of the building be H. So:


Make H the subject


The required height s:



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