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nevsk [136]
3 years ago
15

How do I find the values of x & y without using the Pythagorean theorem?

Mathematics
1 answer:
beks73 [17]3 years ago
7 0

9514 1404 393

Answer:

  23) x=20; y=10√3

  24) x=4√2; y=8

  25) x=12; y=3+6√3

Step-by-step explanation:

Recognize that all of the triangles involved here are one of the two "special" triangles. By previous use of the Pythagorean theorem, or your familiarity with the trig functions of the "special" angles 30°, 45°, 60°, you know the following side ratios:

  45°-45°-90° triangle: 1 : 1 : √2

  30°-60°-90° triangle: 1 : √3 : 2

Using these ratios, you can solve these figures "by inspection."

__

23) x = 2((10√2)/√2) = 20

  y = √3((10√2)/√2) = 10√3

__

24) x = 4√2

  y = (4√2)√2 = 8

__

25) x = 6·2 = 12

y = 3 +6√3 . . . . . 3 units more than the longer leg of the 6 : 6√3 : 12 triangle

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Step-by-step explanation:

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ICE Princess25 [194]

Answer:

Number of week day hours purchased  is 5

Step-by-step explanation:

Total number of Parking hours purchased = 26 parking hours

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To Find:

Number of week days purchased = ?

Solution:

Let  

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The number of weekends purchased be  y

We know that the total hours purchased is 26

So,

x+y = 26

y = 26-x------------------------------------------------------(1)

Now the total cost is 220

(Total number of weekdays X cost per weekday ) +(Total number of weekends + cost per weekend) =220

Substituting the values

=>x\times 2 + y \times 10 = 220

=>x \times 2 + (26-x) \times 10 =220

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7 0
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Answer:

I am a little late but here is the answer

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

Non-proportional linear relationships can be expressed in the form y = m x  + b

With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .

Step-by-step explanation:

From Graph :

The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.

From Equation :

Non-proportional linear relationships can be expressed in the form y = m x  + b, where  , m is the slope of the line, and b represents the y-intercept.

From Table:

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