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LUCKY_DIMON [66]
2 years ago
6

Is it possible to draw three lines in two planes such that all three lines are skew?

Mathematics
2 answers:
nata0808 [166]2 years ago
8 0
Yes; it is possible 

<span>If the planes are parallel to each other then they don't intersect. </span>

<span>There can also be two or more lines on different planes which do not intersect each other. These lines are called skew lines.</span>
dalvyx [7]2 years ago
8 0

Answer with explanation:

→Two lines in three dimensional plane are said to be Skew if they are neither parallel nor Intersecting.

→Skew lines can be drawn in three dimensional plane only.

→Drawn two skew lines in a Plane , and then drawn another line in a plane and found that , they are skew.

⇒Yes, it is possible to draw three lines in two planes such that all three lines are skew.

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The temperature of an enclosure for a pet corn snake should be an average of 81° F. For the well-being of the corn snake, the te
mario62 [17]

Answer: |81-x|<5

Step-by-step explanation:

Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.

Temperature in the enclosure should not vary by more than 5° F.

Let x= Temperature in the enclosure

Then, difference between average and current temperature should less the 5.

i.e. |81-x|<5     (required absolute value equation  )

hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:

|81-x|<5

4 0
2 years ago
Work out the difference between 11/12 and 3/12.Give your answer in simplest form.
stealth61 [152]
Umm 8/12 or 2/3 .......................................................................
4 0
2 years ago
Read 2 more answers
In 1995, the total box office in U.S movie theaters was about $5.02 billion. From 1995 through 2008, the box office revenue incr
soldier1979 [14.2K]

Answer:

1.06 x 10^{10} (3sf)

Step-by-step explanation:

using compound interest formula A = P(1+\frac{R}{100}) ^{n}

from 95 to 08 is 13 yrs

Total Revenue = (5.02 x 10^{9})(1 + \frac{5.9}{100}) ^{13} = 1.057 x 10^{10}

6 0
2 years ago
Consider the product (x + y + z)2. If the expression is multiplied out and like terms collected, the result is: x2 + y2 + z2 + 2
VLD [36.1K]

Answer:

Part a: The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b: The number of terms are 23751.

Step-by-step explanation:

part a

From the given equation the

(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

So the coefficient of any term x^ny^nz^n is given as  

\dfrac{2!}{n!n!n!}

Similarly for the generic equation of coefficient of the term x_1^{r_1}x_2^{r_2}x_3^{r_3}......x_k^{r_k} in the equation of form (x_1+x_2+x_3+x_4......x_k)^n is given as  

\dfrac{n!}{r_1!r_2!r_3!....r_k!}

So now the coefficient of v^9w^2x^5y^7z^2  is given as

=\dfrac{25!}{9!2!5!7!2!}\\=1.766 \times 10^{13}

The coefficient of v^9w^2x^5y^7z^2 is 1.766 \times 10^{13}

Part b:

The number of terms is given as \left (\ {{m+n-1} \atop {n}}  \right )

where m is the number of variables which are 5 here

n is the power which is 25 so the number of variables is given as

\left (\ {{5+25-1} \atop {25}}  \right )\\\left (\ {{29} \atop {25}}  \right )\\\dfrac{29!}{25!4!}=23751

So the number of terms are 23751.

3 0
2 years ago
An animal shelter needs to find homes for 40 dogs and 60 cats. If 15% of the dogs are female, and 25% of the cats are female, wh
Harrizon [31]

Answer:

21% of the animals are female

Step-by-step explanation:

In total:

There are 40 + 60 = 100 animals.

Female animals.

40 dogs. Of those, 15% are female. So 0.15*40 = 6.

60 cats. Of those, 25% are female. So 0.25*60 = 15.

21 female animals.

21/100 = 0.21 = 21%

21% of the animals are female

3 0
2 years ago
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