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3 years ago

9

Two planes left an airport at noon. One flew east and the other flew west at twice the speed. After 3 hours the planes were 2700

mi apart. How fast was each plane flying?

1 answer:

gogolik [260]3 years ago

4 0

One was 900 and the other was 1800

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An object falls from a position of rest and

kumpel [21]

Answer:

About 4.1323 meters.

Step-by-step explanation:

We can use the following kinematic equations:

$\displaystyle v_f = v_0 + at \text{ and } \Delta d = v_0 t + \frac{1}{2} at^2$

We want to determine the distance the object has dropped after falling from rest and reaching an instantenous speed of 9 m/s.

We are given that the acceleration due to gravity is 9.8 m/s².

Using this fact and the first equation, find the time for which it took the object to reach 9 m/s. Note that the initial velocity is 0 m/s since the object started from rest.

$\displaystyle \begin{aligned} v_f = v_0 + at \\ \\ (9\text{ m/s}) & = (0\text{ m/s}) + (9.8\text{ m/s$^2$})t \\ \\ 9\text{ m/s} & = (9.8 \text{ m/s$^2$})t \\ \\ t &\approx0.9184 \text{ s} \end{aligned}$

To find how far the object dropped, we can use the second equation:

$\displaystyle\begin{aligned} \Delta d & = v_0 t + \frac{1}{2} at^2 \\ \\ & = (0\text{ m/s})(0.9184 \text{ s}) + \frac{1}{2}(9.8 \text{ m/s$^2$})(0.9184 \text{ s})^2 \\ \\ & = 4.1323 \text{ m} \end{aligned}$

In conclusion, the object would have dropped about 4.1323 meters.

6 0

3 years ago

Graph the inequality 4x -2y < 8

iris [78.8K]

Mine is pretty rough but hope it helps look at the attached image.

8 0

4 years ago

Solve for the value of x.

shutvik [7]

Answer:

Step-by-step explanation:

Both angles are supplementary (they add up to 180°)

This means that (10x) + (6x - 12°) = 180°

(10x) + (6x - 12°) = 180°

10x + 6x - 12° = 180°

16x - 12° = 180°

16x = 192°

x = 12°

Hope this helps!

4 0

3 years ago

Given a pair of complex numbers, z1 = 5 and z2 = –6i, let z3 = 3i z1 and z4 = z2 – 2. in which quadrant is z3 – z4 located?

Mars2501 [29]

Assuming $z_1=5$ and $z_2=-6i$ , as well as $z_3=3i z_1$ and $z_4 = z_2-2$ , we have

$z_3 - z_4 = 3iz_1 - (z_2-2) = 3i\times5 - (-6i-2) = 15i + 6i + 2 = 2 + 21i$

Since both the real and imaginary parts are positive, $z_3-z_4$ belongs to the first quadrant.

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2 years ago

Classify: 3x3 - 2x2 Monomial Binomial Trinomial None of the above

nikklg [1K]

Answer:

3x³ - 2x² is trinomial because highest degree of this polynomial is 3.

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3 years ago