All categories

2 years ago

Angle MNO is formed by segments MN and NO on the following coordinate grid:

Mathematics

2 answers:

valentinak56 [21]2 years ago

7 0

Answer:

m∠ M′N′O′ = m∠MNO

as 0'N'M = 90 Degrees.

It rotates 90 Degree but the actual angle is just = m∠MNO

Step-by-step explanation:

tekilochka [14]2 years ago

3 0

Answer: m∠ M′N′O′ = 90 degrees

Step-by-step explanation: Hope that helps ! I am not sure if I am right but I think I am !

You might be interested in

What is the solution to this equation -8 and one third y equals 2

omeli [17]

I hope this helps you

6 0

3 years ago

A plane with equation xa+yb+zc=1 (a,b,c>0)together with the positive coordinate planes forms a tetrahedron of volume V=16abcF

soldier1979 [14.2K]

Question not well presented.

See correct question presentation below

A plane with equation (x/a) + (y/b) + (z/c) = 1, where a,b,c > 0 together with the positive coordinate planes form a tetrahedron of volume V = (1/6)abc. Find the plane that minimizes V if the plane is constrained to pass through the point P(2,1,1).

Answer:

The plane is x/6 + y/3 + z/3 = 1

Step-by-step explanation:

Given

Equation: (x/a) + (y/b) + (z/c) = 1 where a,b,c > 0

Minimise, V = (1/6) abc subject to

the constraint g = 2/a + 1/b + 1/c = 1

First, we need to expand V

V = (abc)/6

Possible combinations of V taking 2 constraints at a time; we have

(ab)/6, (ac)/6 and (bc)/6

Applying Lagrange Multipliers on the possible combinations of V, we have:

∇V = λ∇g

This gives

If we equate components on both sides, we get:

(a²)bc/12 = -λ = a(b²)c/6 = ab(c²)/6

Solving for a, b and c;

First, let's equate:

(a²)bc/12 = a(b²)c/6 -- divide through by abc, we have

a/12 = b/6 --- multiply through by 12

12 * a/12 = 12 * b/6

a = 2 * b

a = 2b

Then, let's equate:

(a²)bc/12 = ab(c²)/6 -- divide through by abc, we have

a/12 = c/6 --- multiply through by 12

12 * a/12 = 12 * c/6

a = 2 * c

a = 2c

Lastly, we equate:

a(b²)c/6 = ab(c²)/6 -- divide through by abc, we have

b/6 = c/6 --- multiply through by 6

6 * b/6 = 6 * c/6

b = 2

Writing these three results, we have

a = 2b; a = 2c and b = c

Recalling the constraints;

g = 2/a + 1/b + 1/c = 1

By substituton, as have

2/(2c) + 1/c + 1/c = 1

1/c + 1/c + 1/c = 1

3/c = 1

c * 1 = 3

c = 3

Since a = 2c;

So, a = 2 * 3

a = 6

Similarly, b = c

So, b = 3

So, the plane: (x/a)+(y/b)+(z/c)=1;

By substituton, we have

x/6 + y/3 + z/3 = 1

Hence, the plane

So the plane is x/6 + y/3 + z/3 = 1

5 0

3 years ago

Design five new Olympic events related to math. Explain how participants would complete in each event and how gold, silver, and

LekaFEV [45]

Answer:

I don't know

Step-by-step explanation:

Sorry cause i have no answer too

3 0

2 years ago

The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot p

Radda [10]

Answer:

Step-by-step explanation:

We have two dot plots, one for the Basketball Team and one for the Soccer Team.

Notice that there are 16 girls in the Basketball Team and 16 girls in the Soccer Team.

Basically, the median is between the 8th and 9th term in each data set. Specifically, is the mean between them.

<h3>For Basketball Team</h3>

$m_{basketball} =\frac{32+32}{2}=32$

Because the 8th and 9th term are both equal to 32.

<h3>For Soccer Team</h3>

$m_{soccer}=\frac{64+64}{2}=64$

Because the 8th and 9th term are both equal to 64.

If we subtract them to find the difference, it would be

$\Delta m=64-32=32$

Basically, the Soccer Team drank 32 more ounces of water than the Basketball Team.

Therefore, the right answer is B, that's the closest one.

4 0

3 years ago

Read 2 more answers

How do you do angles

Natali5045456 [20]

Well, to measure angles, you need a protractor. A protractor is an instrument for measuring angles.

4 0

3 years ago

Read 2 more answers