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Mariulka [41]
3 years ago
9

What's is the square root of 120

Mathematics
2 answers:
eduard3 years ago
8 0
The square root to 120 is 10.9544
jonny [76]3 years ago
4 0

Answer:

The square root of 120 is 10.9544512 :)

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Find an equation of the plane that contains the points p(5,−1,1),q(9,1,5),and r(8,−6,0)p(5,−1,1),q(9,1,5),and r(8,−6,0).
topjm [15]
Given plane passes through:
p(5,-1,1), q(9,1,5), r(8,-6,0)

We need to find a plane that is parallel to the plane through all three points, we form the vectors of any two sides of the triangle pqr:
pq=p-q=<5-9,-1-1,1-5>=<-4,-2,-4>
pr=p-r=<5-8,-1-6,1-0>=<-3,5,1>

The vector product pq x pr gives a vector perpendicular to both pq and pr.  This vector is the normal vector of a plane passing through all three points
pq x pr
=
  i   j   k
-4 -2 -4
-3  5  1
=<-2+20,12+4,-20-6>
=<18,16,-26>

Since the length of the normal vector does not change the direction, we simplify the normal vector as
N = <9,8,-13>

The required plane must pass through all three points.
We know that the normal vector is perpendicular to the plane through the three points, so we just need to make sure the plane passes through one of the three points, say q(9,1,5).

The equation of the required plane is therefore
Π :  9(x-9)+8(y-1)-13(z-5)=0
expand and simplify, we get the equation
Π  :  9x+8y-13z=24

Check to see that the plane passes through all three points:
at p: 9(5)+8(-1)-13(1)=45-8-13=24
at q: 9(9)+8(1)-13(5)=81+9-65=24
at r: 9(8)+8(-6)-13(0)=72-48-0=24
So plane passes through all three points, as required.

3 0
3 years ago
10 x 200 is how many tens
melisa1 [442]
10 x 200 is 2000
therefore there are 200 tens .
7 0
3 years ago
Read 2 more answers
How do i solve this question
alex41 [277]

Answer:

18.18

Step-by-step explanation:

total sum of angle of quadrilateral is 360

70+60+ 7x-4+4x-3=360

160-7 +11x =360

153 +11x =360

11x=360-153

x=207/11

x=18.18

7 0
2 years ago
Noah received a $500 signing bonus when he accepted a job as a paralegal if he makes $28 an hour which equation models Noah tota
Lyrx [107]
The total amount the Noah receives will be equal to his hourly payment multiplied by the number of working of hours added to the 500$ bonus which he received.

Now, Noah get 28$ per hour and he works for x hours. This means that the payment he gets for working = 28x
Then, we will add the $500 which he received as a bonus.
Doing this, we can get the expression that models his total payment as follows:
y = 28x + 500
8 0
3 years ago
Read 2 more answers
PLEASEE HELPPP !! WILLING TO HELP WITH social studies/history if you can answer
Rashid [163]
The first option is correct (-x)
4 0
3 years ago
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