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andrezito [222]
3 years ago
12

Eight students are painting 2 boards for a project. The students want to divide the work equally. How much of the board should e

ach student paint
Mathematics
1 answer:
barxatty [35]3 years ago
7 0
Each student should do 1/4 of one board or 1/8 of both boards. This is because 8÷2 is 4, which means 4 people need to work together on one board.
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Which is greater? <br> 0.7=7/10 or 7/9
amm1812
The correct answer is 7/9
6 0
3 years ago
A room measures 12 feet by 16 feet long. what is the square footage of this room
Leno4ka [110]
12 x 16 = 192. So, the room is 192 square feet.
7 0
3 years ago
Read 2 more answers
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
Using a multiple of 10 for at least one factor, write an equation with a product that has four zeros
Maslowich
10 times 4000= 40000
3 0
3 years ago
Read 2 more answers
What’s the answer need help ?
Zielflug [23.3K]

Answer:

B

Step-by-step explanation:

Just move point D over 6 and down 10

4 0
3 years ago
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