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IRINA_888 [86]
3 years ago
6

Roger made a table showing he sleeps 3/8 of a day. How many days will go by before roger has slept the equivalent of one day?

Mathematics
1 answer:
Ludmilka [50]3 years ago
6 0

Answer:

2.66 days

Step-by-step explanation:

We know that a day has 24 hours, so if Roger sleeps 3/8 of a day that means that he sleeps 3/8 • 24 which equals to 9 hours.

Now we want to know how many days it takes Roger to sleep an equivalent of a day if he sleeps 9 hours a day. So:

24 h / 9 h = 2.66 days

Of course we can do it in an easier way, in fractions:

1 : 3/8 = 8/3

8/3 = 2.66 days

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PLEASE HELP! 50 Points!
gulaghasi [49]

The bearing of the plane is approximately 178.037°. \blacksquare

<h3>Procedure - Determination of the bearing of the plane</h3><h3 />

Let suppose that <em>bearing</em> angles are in the following <em>standard</em> position, whose vector formula is:

\vec r = r\cdot (\sin \theta, \cos \theta) (1)

Where:

  • r - Magnitude of the vector, in miles per hour.
  • \theta - Direction of the vector, in degrees.

That is, the line of reference is the +y semiaxis.

The <em>resulting</em> vector (\vec v), in miles per hour, is the sum of airspeed of the airplane (\vec v_{A}), in miles per hour, and the speed of the wind (\vec v_{W}), in miles per hour, that is:

\vec v = \vec v_{A} + \vec v_{W} (2)

If we know that v_{A} = 239\,\frac{mi}{h}, \theta_{A} = 180^{\circ}, v_{W} = 10\,\frac{m}{s} and \theta_{W} = 53^{\circ}, then the resulting vector is:

\vec v = 239 \cdot (\sin 180^{\circ}, \cos 180^{\circ}) + 10\cdot (\sin 53^{\circ}, \cos 53^{\circ})

\vec v = (7.986, -232.981) \,\left[\frac{mi}{h} \right]

Now we determine the bearing of the plane (\theta), in degrees, by the following <em>trigonometric</em> expression:

\theta = \tan^{-1}\left(\frac{v_{x}}{v_{y}} \right) (3)

\theta = \tan^{-1}\left(-\frac{7.986}{232.981} \right)

\theta \approx 178.037^{\circ}

The bearing of the plane is approximately 178.037°. \blacksquare

To learn more on bearing, we kindly invite to check this verified question: brainly.com/question/10649078

5 0
2 years ago
Hi! Please help :) (will give brainliest &lt;3)
kvv77 [185]

Answer:

a.51

b.131.5

d.131.5

w.131.5

x.51

y.131,5

z.51

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Step-by-step explanation:

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3 years ago
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Answer:

A

B

C

Step-by-step explanation:

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aev [14]
0.99 is the answer it greater than 0.1
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3 years ago
Vanessa throws a tennis ball in the air. the function h(t) = -16t2 + 45t + 7 represents the distance, in feet, that the ball is
antiseptic1488 [7]
Given that height, h(t) of a tennis ball is modeled by the equation h(t)=<span>-16t^2 + 45t + 7, the time taken for the ball to reach maximum height will found as follows:
at maximum height:
h'(t)=0
but from the equation:
h'(t)=-32t+45=0
solving for t we get
t=45/32
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