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Dahasolnce [82]
2 years ago
5

Given rectangular prism ABCD. Choose all of the terms that best describe each of the sets of lines or points. Lines AB and CD co

llinear intersecting parallel noncollinear coplanar

Mathematics
1 answer:
Bas_tet [7]2 years ago
5 0
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 <span>that best describe lines AB and CD are
parallel
noncollinear
coplanar</span>
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If there are 2.2 pounds in 1 kilogram how many pounds are there in x kilograms?
nirvana33 [79]

Answer:

P=x/2.2

Step-by-step explanation:

We can create an equation to solve this.

Let the number of pounds be P

Let the number of kilograms be X

Now, we know that for 1 kilogram, there is 2.2 pounds.

Therefore if we have 1 kilogram (X) then we will have 2.2 pounds (P).

<u>X=2.2P</u>

All you have to do now is rearrange the equation to find the number of pounds in x kilograms. To do this divide both sides by 2.

Therefore you will get P=x/2.2

5 0
2 years ago
What is the relation between the sine and cosine values of angles in each quadrant? How would you use the 60° angle to find sine
Masja [62]
<span>The sine, cosine, and tangent of 60 deg. is the same as 120, 240, and 300. 30 deg, 45 deg, and 60 deg. can each be matched to other counter parts across the quadrants. The only ones that have their own sin, cos, and tan are 90, 180, 270, and 360. The pi over 4 is a radian and can be found using an equation= π/4*180/π The two πs will cancel out and you are left with 180/4 which will give you the degrees. You would do the same equation for the π/6. This can also be used in reverse and you can find the radian using the degrees. Just multiply the degrees by pi/180 and then find a common multiple to reduce the fraction/radian down. pi will stay in your answe</span>
3 0
2 years ago
Se the divergence theorem to calculate the surface integral s f · ds; that is, calculate the flux of f across s. f(x, y, z) = x2
zalisa [80]

f(x,y,z)=x^2y\,\vec\imath+xy^2\,\vec\jmath+5xyz\,\vec k

\implies\nabla\cdot f=2xy+2xy+5xy=9xy

The plane has intercepts in the x,y plane at (4, 0, 0) and (0, 1, 0), so the flux is given by (via the divergence theorem)

\displaystyle\iint_Sf\cdot\mathrm dS=9\int_{x=0}^{x=4}\int_{y=0}^{y=1}\int_{z=0}^{z=4-x-4y}xy\,\mathrm dz\,\mathrm dy\,\mathrm dx=-48

7 0
2 years ago
"From 1990 to 2000 The population of city A rose from 12,000 to 28,000 and the population of city B rose from 18,000 to 24,000.
Virty [35]

Answer:

The year 1996

With population of both 21600

Step-by-step explanation:

From 1990 to 2000 = 10 years

So city A grew from 12000 to 28000 that is city A had an increase of 16000 in 10 years.

While city b grew from 18000 to 24000 , that's an increase of 6000 in 10 years to.

For city A

10 years= 16000

1 year = 16000/10

1 year = 1600

For city B

10 years = 6000

1 year = 6000/10

1 year = 600

So we are to find what year the both cities had same population.

12000 + x1600 = y

18000 + x600 = y

X is the year difference

Y is the population at that year

Eliminating y gives

6000= x1000

X= 6

If x is 6

18000+3600= y

21600= y

So 6 years + 1990 = 1996

4 0
2 years ago
Look at Andrea’s running journal.
german

First align the decimal points and the numbers,  then add the extra 0's if needed. Lastly, add and the total answer is 14.225.

7 0
2 years ago
Read 2 more answers
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