What is d=40 + 428t − 16t2

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

3 0

Answer:

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Solve equation by completing the square 5n^2-3n-10=15

VARVARA [1.3K]

These are the two answers you could get

5 0

3 years ago

1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°

slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation $sin (68) = \frac{18}{h}$ .

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. $sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\$

And finally we have $h=\frac{18}{sin (68)}$ . We input to calculator.

$h=\frac{18}{0.92718} \\h=19.4 feet$

See the attached picture below showing the shore with the boat out at sea and the position of the person.

8 0

3 years ago

What is the explicit rule for the arithmetic sequence? 20.5, 16, 11.5, 7, 2.5, ...

Naily [24]

Answer:

To determine the explicit rule for the arithmetic sequence of 20.5, 16, 11.5, 7, 2.5, ..., the following logical reasoning must be performed:

20.5 - 16 = 4.5

16 - 11.5 = 4.5

11.5 - 7 = 4.5

7 - 2.5 = 4.5

Thus, the explicit rule of the arithmetic sequence is that the numbers are gradually subtracted by 4.5, with which the next number of said sequence would be -2.

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3 years ago

Elan Coil [88]

Answer: Initial height before launch

Step-by-step explanation:

Given

The equation $y=-9.8t+109.7t+7.4$ the height of toy rocket after t sec