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ira [324]
3 years ago
7

Determine two pairs of polar coordinates for the point (4, -4) with 0° ≤ θ < 360°.

Mathematics
2 answers:
grin007 [14]3 years ago
7 0
(4√2, 225°), (-4√2, 45°)
KatRina [158]3 years ago
4 0

The point (4, -4) lies in Quadrant IV. Since we are interested only in positive angles, we choose 315 degrees with a radius (magnitude) of 4√2. That automatically eliminates Answer Choices A, B and C, so all we have to do now is to verify that (-4√2, 135 degrees) also represents (4, -4). It does: Going to Quadrant II with angle 135 degrees, and then using -4√2 as the magnitude, takes us to Quadrant IV.

Thus, D is the correct answer.

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Consider an economy with two sectors: manufacturing and services. Demand for labor in manufacturing and services are described b
salantis [7]

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the photo

My answers:

a, If workers are free to move between sectors, the wages in each sector will be equal. If wages are not equal, the workers will be motivated to move to sectors with higher wages and this will make a higher salary reduction, and lower wages will increase until they equal.

b. Since there are 100 workers in total,we have:

Ls =100- Lm = 100 -4w

Lm = 4w

Now set this equal to the labor demand for manufacturing equation and solve for w:

4w = 200 - 6w

w = $20.

Substitute w =20 into the two labor demand equations, we have LM = 80 and LS i= 20

c. If the wage in manufacturing is equal to $25 then

Lm=200-6(25) = 50

d. There are now Ls = 50 workers employed in the service sector and the wage:

Ls=100-4Ws

<=> 50 = 100 -4Ws

<=> Ws = 12.5

e. Wages in the manufacturing sector will remain at 25 dollars and jobs will remain at 50. If wages are reserved for the service sector is 15 dollars, then jobs in the service sector will be 40. Therefore 10 unemployed and the unemployment rate is 10%.

5 0
3 years ago
Write 3 ½% as a fraction
jeka57 [31]

Answer:

  7/200

Step-by-step explanation:

3.5% = 3.5/100 = (3.5/100)×(2/2) = 7/200

_____

The % symbol is a shorthand way to write "/100", so 3.5% = 3.5/100.

3 0
3 years ago
Express as a fraction in simplest form 4 to 36
xz_007 [3.2K]

Answer:

Step-by-step explanation:

4/36/2/2

2/18/2/2

1/9

5 0
3 years ago
Use the bar diagram to write an equation.Then solve.Drag numbers to complete the equations.Numbers may be used once,more than on
ElenaW [278]

Answer:

I need a picture

Step-by-step explanation:

4 0
3 years ago
Given: Line XB bisects angle ABC; Line BX is an altitude. Prove: Line BX is a median.
Paha777 [63]

Answer:

Step by step proof is given below.

Step-by-step explanation:

∠ABX = ∠XBC      (given that XB bisects ∠ABC)

∠AXB = ∠CXB = 90°     (given that BX is an altitude)

BX = BX     (common)

Therefore,

ΔABX ≅ ΔCBX     (ASA congruence theorem)

AX = CX     (Corresponding parts of congruence triangles are congruent)

So, X is the midpoint of AC and hence BX is a median.


4 0
3 years ago
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