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jonny [76]
3 years ago
12

An apprentice productively working a 40-hour week earns more wages and is worth considerably more to the local union and the ind

ustry than one who works only 30 hours per week. Consider two apprentices, A and B, working the same job at the same scale. Apprentice A works 40 hours and is paid $160.00 from which $4.80 is paid to the local union. Apprentice B only works 30 hours. How much will the local union receive in dues for the 30 hours work?
Mathematics
1 answer:
zvonat [6]3 years ago
4 0
$3.60

You can get this by determining that the rate of which they are paid is $4 an hour (divide the total by the amount of hours). Then you can find the rate of which they collect dues by dividing the amount they paid by their total (3%). 

Using those numbers you can find the total amount the second person paid. 
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Find the area of each figure. Use 3.14
grigory [225]
<h3>Answer:  23.13 square meters</h3>

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Explanation:

The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5

The area of one circle is

A = pi*r^2

A = 3.14*(1.5)^2

A = 7.065

So two circles doubles to 2*7.065 = 14.13 square meters in area.

Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13

This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13

8 0
3 years ago
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The legs of a right triangle are 3 units and 6 units. What is the length of the hypotenuse? Round your answer to the nearest hun
garri49 [273]
C =\sqrt{3 ^{2} + 6  ^{2} } = 6.7082

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3 years ago
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If (3-4i) (x+iy) = 3 root 5<br> show that x^2 + y^2=9/5
NNADVOKAT [17]

Answer:

the answer is 2 + i.

Step-by-step explanation:

Let the square root of 3 + 4i be x + iy.

So (x + iy) (x +iy) = 3 +4i

=> x^2 + xyi + xyi + i^2*y^2 = 3 + 4i

=> x^2 – y^2 + 2xyi = 3 + 4i

Equate the real and complex terms

=> x^2 - y^2 = 3 and 2xy = 4

2xy = 4

=> xy = 2

=> x = 2/y

Substitute in

=> x^2 - y^2 = 3

=> 4/y^2 - y^2 = 3

=> 4 – y^4 = 3y^2

=> y^4 + 3y^2 – 4 = 0

=> y^4 + 4y^2 – y^2 – 4 =0

=> y^2(y^2 + 4) – 1(y^2 + 4) =0

=> (y^2 – 1) (y^2 + 4) =0

Therefore y^2 = 1, we ignore y^2 = -4 as it gives complex values of y.

Therefore y = 1 and x = 2/1 = 2

The required square root of 3 + 4i is 2 + i.

5 0
2 years ago
The sum of remote interior angels equals what?​
olya-2409 [2.1K]

Answer:

Each of the remote angles shares one side with the angle adjacent to the exterior angle. The equation means that the sum of measures of the remote interior angles is equal to the measure of the exterior angle of the triangle.

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The answer is 11.76. hope this helps.

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