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Nimfa-mama [501]
2 years ago
10

Given rectangular prism ABCD. Choose all of the terms that best describe each of the sets of lines or points. Points D, G and J

collinear intersecting parallel noncollinear noncoplanar

Mathematics
2 answers:
navik [9.2K]2 years ago
8 0

Answer:

Step-by-step explanation:

The given parallelogram is attached.

First, we have to define some terms:

  • Collinear means that they are on the same line, non-collinear is the opposite.
  • Intersecting means that the point are touching each other, this apply to segments.
  • Parallel means that they will never intersect, because they have the same slope or inclination, this apply to lines also.
  • Coplanar means that points are in the same plane, non-coplanar is the opposite.

So, if we observe points D, G and J, from given options, they are non-collinear and non-coplanar, because they are not on the same line, nor plane.

Yuki888 [10]2 years ago
3 0

Answer:

Two points are collinear when they lie on the same line. Points are collinear but not lines. Rather when two lines lie on the same plane we say they are coplanar.

Hence, line AB and CD are NOT collinear, so they are noncollinear and they are coplanar.

Two or more lines are said to be intersecting, when the lines meet at some point, when lines are not intersecting they are said to be parallel.

Recall that one of the properties of a rectangle is that opposite sides are parallel.

Notice that line AB and CB are the opposite sides of the rectangle ABCD.

Thus, line AB and CD are not intersecting but are parallel.

Therefore, the terms that best describe lines AB and CD are  

parallel  

noncollinear  

coplanar

Step-by-step explanation:

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An online furniture store sells chairs for $200 each and tables for $600 each. Every day, the store can ship a maximum of 32 pie
wolverine [178]

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32         .......1

200 C + 600 T = 12000         .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T =  5600

∴  T = \frac{5600}{400}

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴   C = \frac{3600}{200}

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴   T = \frac{8400}{600}

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer

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A maple syrup company is making a new label for its barrels of syrup. If the barrels are 5 feet tall and have a radius of 2 feet
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Answer:

(A)62.8 square feet

Step-by-step explanation:

Height of the barrels = 5 feet

Radius of the barrels= 2 feet

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The barrel is in the shape of a cylinder and the area of the label the company needs is that of the round sides(curved surface area) of the cylinder.

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7 0
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Which are the solutions of x2 = –5x + 8? StartFraction negative 5 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFract
serg [7]

Answer:

x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}

Step-by-step explanation:

Given:

The equation to solve is given as:

x^2=-5x+8

Rearrange the given equation in standard form ax^2+bx +c =0, where, a,\ b,\ and\ c are constants.

Therefore, we add 5x-8 on both sides to get,

x^2+5x-8=0

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The solution of the above equation is determined using the quadratic formula which is given as:

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x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}

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