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nexus9112 [7]
3 years ago
6

An angle measures 125 degrees. Through what fraction of a circle does the angle turn?

Mathematics
2 answers:
Bingel [31]3 years ago
5 0
I think 50 out of 30 degrees
Svetradugi [14.3K]3 years ago
3 0
125/360 which simplifies to 25/72<span />
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Find all points on the portion of the plane x+y+z=5 in the first octant at which f(x, y, z) = xy2z2 has a maximum value.
irina1246 [14]
Lagrange multipliers:

L(x,y,z,\lambda)=xy^2z^2+\lambda(x+y+z-5)

L_x=y^2z^2+\lambda=0
L_y=2xyz^2+\lambda=0
L_z=2xy^2z+\lambda=0
L_\lambda=x+y+z-5=0

\lambda=-y^2z^2=-2xyz^2=-2xy^2z

-y^2z^2=-2xyz^2\implies y=2x (if y,z\neq0)

-y^2z^2=-2xy^2z\implies z=2x (if y,z\neq0)

-2xyz^2=-2xy^2z\implies z=y (if x,y,z\neq0)

In the first octant, we assume x,y,z>0, so we can ignore the caveats above. Now,

x+y+z=5\iff x+2x+2x=5x=5\implies x=1\implies y=z=2

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of f(1,2,2)=16.

We also need to check the boundary of the region, i.e. the intersection of x+y+z=5 with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force f(x,y,z)=0, so the point we found is the only extremum.
4 0
3 years ago
3) The ratio between the number of
salantis [7]

Answer:

15

Step-by-step explanation:

70÷14=5

5×3=15

So the ratio would be 70:15 which can be simplified to 14:3

5 0
2 years ago
Which equation has 1 solution?<br><br> IwI = -2<br> IwI = -1<br> IwI = 0<br> IwI = - 1
vovangra [49]
Absolute value is alwas positive
so all of them excet the 3rd one are false

|w|=0 has 1 solution


if the last one was |w|=1 then ther would be 2 solutions, -1 and 1


answer is |w|=0
6 0
2 years ago
Consider the figure. Determine the value of w.​
AlekseyPX

Answer:

w=67°

Step-by-step explanation:

First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°

3 0
2 years ago
Read 2 more answers
Simplify each expression. <br> 1) 7(3v - 3) <br> 2) -3(-n + 4)<br> 3) -6(-8x - 3) <br> 4) -(3b - 9)
Reil [10]

Answer:

Step-by-step explanation:

1 21v - 21

2 3n - 12

3 48x + 18

4 -3b + 9

3 0
2 years ago
Read 2 more answers
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