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2 years ago

Geometry problem in the picture: find the missing side and round to the nearest tenth

Mathematics

1 answer:

Vlad1618 [11]2 years ago

4 0

Answer:

X= 19.9

Step-by-step explanation:

SOH CAH TOA

x is hypotenuse

Opposite is 15

Opposite & hypotenuse - sin

Sin(49) = o/h

Sin(49) = 15/h

Sin(49) x h = 15

÷Sin(49)

h = 15 ÷ Sin(49)

h=19.8751949

Hope this helps!

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Explain how to write 5/3 as a product of a whoke number and a unit fraction

KIM [24]

Answer:

1 $\frac{2}{3\\}$

Step-by-step explanation:

5/3 = 3/3 * 2/3

3/3 = 1

So the answer is 1 $\frac{2}{3\\}$

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3 years ago

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2 years ago

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Naddik [55]

Answer:

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3 years ago

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3 years ago

The water level, measured in feet above mean sea level, of Lake Lanier in Georgia, USA, during 2012 can be modeled by the functi

FrozenT [24]

Answer:

May 4th, 2012.

Step-by-step explanation:

The highest level can be found with the help of the First Derivative and Second Derivative Tests. First and second derivatives of the function are, respectively:

$l'(t) = 0.04323\cdot t^{2}-0.8354\cdot t +2.703$

$l''(t) = 0.08646\cdot t - 0.8354$

The First Derivative Tests consists on equalizing the first derivative to zero and finding the critical points.

$0.04323\cdot t^{2}-0.8354\cdot t +2.703 = 0$

Roots are $t_{1} \approx 15.672$ and $t_{2} \approx 4.077$ . just the second root offer a realistic solution and is test by the second derivative.

$l''(4.077) = -0.482$ (which leads to a maximum).

Given that a year has 365 days or 12 months, the highest water level occurs at day:

$n = \frac{4.077}{12} \cdot (365\,days)$

$n \approx 124$ (May 4th).

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3 years ago