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strojnjashka [21]
3 years ago
5

Need help finding answer

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0

Answer:

cscθ= \frac{\sqrt{145} }{9}

Step-by-step explanation:

If the terminal side's point is defined as P = (x, y), in this case P = (8, 9)... then the trigonometric function of cscθ  = r/y.

r = \sqrt{x^{2} +y^{2} }

So for the given point:

r = \sqrt{8^{2} +9^{2} }

r = \sqrt{64 + 81} =\sqrt{145}

cscθ= \frac{\sqrt{145} }{9}

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Find the value of 15.0 N in pounds. Use the conversions 1slug=14.59kg and 1ft=0.3048m .
Sliva [168]

The value of 15.0 N in pounds = 3.375 lb

<h3><em>Further explanation </em></h3>

The derivative magnitude is a quantity derived from the principal amount

7 main quantities have been determined based on international standards, namely:

  • 1. Length, meters (m)
  • 2. Time, second (s)
  • 3. Mass, kilograms (kg)
  • 4. Temperature, kelvin (K)
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Newton (N) is one unit of force (F) which is a quantity derived from mass (m), length (l) and time (s)

Newton can be expressed in terms of Kg m / s²

Formula used:

F = m. a

N = kg. m / s²

In the British system there are units of slug, feet, and pounds so that the unit of force becomes:

F = m. a

Lb = slug. ft / s²

The relationship between the two-unit systems above is:

1 kg = 0.0685 slug

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1 newton = 0.225 lb

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1 ft = 0.3048 m

So if we change 15 N to lb by using slug and ft

15 N = 15 * (1 / 14.59) slug * (1 / 0.3048) ft / s²

15 N = 3,375 slug ft / s ²

15 N = 3,375 lb

or we convert directly:

15 N = 15 * 0.225 lb

15 N = 3,375 lb

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Keywords: slug, Newton, feet, kg, pound

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