Why is a ray a defined term

1 answer:

5 0

Undefined terms in geometry are point, line, and plane. They are undefined terms because they are concepts and that either their dimensions or thickness can vary.

For example, a point is a location/position in space and it has no dimensions or thickness. In other words, a point has no specific size.

A line extends in both directions to infinity and also has no specific thickness.

All other terms in geometry are called defined terms because they rely on these three undefined terms, so a ray is defined because it uses undefined terms. A ray is defined as a portion of a line that starts at a point and goes to infinity in a particular direction.

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A rectangular enclosure is to be created using 82m rope.

atroni [7]

Let
x-----> the length of rectangle
y-----> the width of rectangle

we know that
perimeter of rectangle=2*[x+y]
perimeter of rectangle=82 m
82=2*[x+y]---> divide by 2 both sides---> 41=x+y--> y=41-x---> equation 1

Area of rectangle=x*y
substitute equation 1 in the area formula
Area=x*[41-x]----> 41x-x²

using a graph tool
see the attached figure

the vertex is the point (20.5,420.25)
that means
for x=20.5 m ( length of rectangle)
the area is 420.25 m²

y=420.25/20.5----> 20.5 m

the dimensions are
20.5 m x 20.5 m------> is a square

the answer part 1)
the dimensions of the rectangular with Maximum area is a square with length side 20.5 meters

Part 2)b) Suppose 41 barriers each 2m long, are used instead. Can the same area be enclosed?
divide the length side of the square by 2
so
20.5/2=10.25--------> 10 barriers
the dimensions are 10 barriers x 10 barriers
10 barriers=10*2---> 20 m

the area enclosed with barriers is =20*20----> 400 m²

400 m² < 420.25 m²
so

the answer Part 2) is
the area enclosed by the barriers is less than the area enclosed by the rope

Part 3)How much more area can be enclosed if the rope is used instead of the barriers

area using the rope=420.25 m²
area using the barriers=400 m²

420.25-400=20.25 m²

the answer part 3) is
20.25 m²

6 0

3 years ago

Chico walks 3/5 mile to the library. Nikki walks 1/4 the distance that Chico walks to the library. How far does Nikki walk?

Effectus [21]

3/5 miles = 0.6 miles
0.6/4= 0.15 miles

Nikki walked 0.15 miles or 3/20 miles.

Multiply the bottom of the fractions together (4*5=20) and the tops (3*1=3) to get 3/20.

4 0

3 years ago

Henrietta is planting a new flower garden she must have yellow and red rose bushes let X represent the number of yellow rose bus

salantis [7]

Answer:

$x \geq 4y$