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max2010maxim [7]
3 years ago
8

Paul can choose to be paid $50 for a job or he can be paid 12.50 per hour. Underwhat circumstances should he choose the hourly w

age? Explain
Mathematics
1 answer:
Advocard [28]3 years ago
8 0
Option 1: $50
Option 2: $12.50 per hour.

50 ÷ 12.50 = 4

Paul can choose the hourly wage if he works more than 4 hours.
For example, he works 5 hours.

12.50 x 5 hours = 62.50

$62.50 is higher than the fixed rate of $50. Thus, hourly wage is the better option.
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Answer: sin\frac{a}{2} = ± \frac{1}{\sqrt{26} }

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ±\sqrt{(1-} \frac{cos2A}{2} )

As required,  set A = \frac{a}{2}   &   cos a=  \frac{12}{13}    ,thus we get

sin \frac{a}{2} =± \sqrt{\frac{1-cos a}{2} }  

∴ sin\frac{a}{2} =±\sqrt{\frac{1-\frac{12}{13} }{2} } = ± \frac{1}{\sqrt{26} }

   since ,360° < \frac{a}{2} <450°

             ,180° < \frac{a}{2} <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

   

5 0
3 years ago
One-half the square of b ?
Ymorist [56]

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4 0
2 years ago
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Svetllana [295]

Answer:

Step-by-step explanation:

Let (a,b)\in \mathbb{R}^{2}, a reflection over the x-axis consists in the following operation:

(a,b) \rightarrow (a,-b)

If we know that X = (-4,3) and Y = (2, 3), then the points translated over the x-axis are X' = (-4, -3) and Y' = (2,-3), respectively. The most precise description of the shape is a rectangle for the following facts:

1) XX' = YY' = 8 and XY = X'Y' = 6.

2) X and X' have the same x-component.

3) Y and Y' have the same x-component.

4) X and Y have the same y-component.

5) X' and Y' have the same y-component.

A representation of the shape is included below as attachment.

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