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2 years ago

Which rows represent when (p ∧ q) ∨ (p ∧ r) is true?\

Mathematics

1 answer:

tatyana61 [14]2 years ago

8 0

the statement is ambiguous, it must be written as (p ∧ q) ∨ r
or p ∧ (q ∨ r).

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HELP ME OUT PLEASE!!

pychu [463]

Answer:

The area is 426.90.

Step-by-step explanation:

4 0

3 years ago

a plane flies 5.0km due north from a point O and then 6.0km on a bearing of 060° the pilot then changes course on a bearing of 1

Virty [35]

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

A plane that travels a distance $r$ , in kilometers, with a bearing of $\theta$ sexagesimal degrees can be represented in standard position by means of the following expression:

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

We can obtain the resulting vector ( $\vec R$ ) by the principle of superposition:

$\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})]$ (2)

If we know that $r_{1} = 5\,km$ , $\theta_{1} = 0^{\circ}$ , $r_{2} = 6\,km$ , $\theta_{2} = 60^{\circ}$ , $r_{3} = 4\,km$ and $\theta_{3} = 120^{\circ}$ , then the resulting vector is:

$\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})$

$\vec R = (5\sqrt{3}, 6) \,[km]$

The magnitude of the resultant is found by Pythagorean theorem:

$\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}$

And the bearing is determined by the following inverse trigonometric relationship:

$\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right)$ (3)

If we know that $R_{x} = 5\sqrt{3}\,km$ and $R_{y} = 6\,km$ , then the magnitude and the bearing of the resultant is:

$\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}$

$\|\vec R\| \approx 10.536\,km$

$\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)$

$\theta_{R} \approx 34.715^{\circ}$

The plane flies a distance of approximately 10.536 kilometers in straight line and with a bearing of approximately 035°.

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479

6 0

2 years ago

Solve the measure of an angle is 161°. what is the measure of a supplementary angle?

lions [1.4K]

Supplementary angles sum up to 180°, suppose the supplement of 161° is x. Then
161+x=180
solving for x we subtract 161 from both sides
161-161+x=180-161
x=19
thus the supplement is 19°

4 0

2 years ago

How to find the square root of 56 without using a calculator

Olegator [25]

There an old algorythmic method similar to long division:-

7 . 4 8 3
-----------------
) 56. 00 00 00
7 ) 49
  ) ---
   144 ) 7 00
) 576
----
148 8 ) 12400
) 11904
-------
) 496 00
1496 3 ) 44889

THis gives the square root as 7.48 to the nearest hundredth

7 0

2 years ago

Read 2 more answers

Evaluate 3 - (-1) + (-1) - 3.

lara [203]

Answer:

Step-by-step explanation:

3 - (-1) + (-1) -3 =

Minus and a negative makes it positive. In other words it would be written like this: 3 + 1 + (-1) - 3 =

Next step would be making it minus 1, because plus sign and negative makes the number to be subtracted. It would be rewritten like this: 3 + 1 - 1 - 3 =

Then you will simply add 3 and 1, which makes it 4. So it would be rewritten likes this: 4 - 1 - 3 =

Then you will simply subtract 1 from 4, which would equal to 3. So it would be rewritten like this: 3 - 3 =

Last step, would be subtracting 3 from 3. Whatever is subtracted from itself would always be 0.

So the answer would be 0!

8 0

2 years ago

Read 2 more answers