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Temka [501]
3 years ago
7

A 2D vector can have a component equal to zero even when its magnitude is nonzero.

Mathematics
1 answer:
lys-0071 [83]3 years ago
5 0

Answer:

T F F F T F T

Step-by-step explanation:

A 2D vector can have a component equal to zero even when its magnitude is nonzero. TRUE.

it will be actually a 1d vector, but it's still a 2d vector too. this happens when the vector it's aligned to one of the axis.

The direction of a vector can be different in different coordinate systems. FALSE

The direction of a vector is independent of any coordinate system.

A 2D vector can have a magnitude equal to zero even when one of its components it nonzero. FALSE.

because the only way \sqrt{x^{2} +y^{2} } =0 is that both x and y are equal to zero

The magnitude of a vector can be different in different coordinate systems. FALSE.

The magnitude stays the same in every coordinate system

It is possible to multiply a vector by a scalar. TRUE.

it changes only it's magnitude.

It is possible to add a scalar to a vector. FALSE.

you can´t sum elements of diferent spaces. R, R^{2}, etc

The components of a vector can be different in different coordinate systems.TRUE.

The components of a vector are just a way for identifying the vector, in a determinate coordinate system, the way i call those components will change as I change the name I call every point in the plane.

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A group fitness gym classifies its fitness class attendees by class type and member status. The marketing team has gathered data
PilotLPTM [1.2K]

The probability that a class attendee is a non-member of the gym and is attending a barre class or is a member of the gym and is attending a boot camp class is 0.009.

<h3>What is the probability?</h3>

Probability refers to a possibility that deals with the occurrence of random events.

The marketing team has gathered data from a random month, in which there were 2039 class attendees.

The probability that a class attendee is a non-member of the gym and is attending a barre class

= 185/2039

= 0.09

The probability that a class attendee is a member of the gym and is attending a boot camp class

= 204/2039

= 0.10004

The probability for both the event would be

= 0.09 x 0.10004

= 0.009

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8 0
2 years ago
Drag the item from the item bank to its corresponding match.
vredina [299]
<h2>1. Answer: </h2>

This is an angle whose measure is between 0 degrees and 90 degrees matches to Acute angle

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<h2>2. Answer: </h2>

These are a pair of angles, adjacent or nonadjacent whose sum is 90° matches to Complementary

The definition of complementary angles is that they are angles that add up to 90°. For instance, if you have two angles 50° and 40°, the complement of 50° is 40° and the complement of 40° is 30°.

<h2>3. Answer: </h2>

These are angles, segment, triangles, etc that have exactly the same measures matches to Congruent

The concept of congruence stands for equal things. So line segments are congruent if they have the same length, angles are congruent if they have the same measure and, in general, shapes are congruent if you can turn one into the other by moving, rotating or flipping.

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This is an angle having a measure greater than 90° and up to 180° matches to obtuse angle

In fact this is the definition of obtuse angles, if an angle has a measure greater than 90°, but also less than 180°, it's called an obtuse angle

<h2>5. Answer: </h2>

This is an angle whose measure is exactly 90° matches to Right  

In fact this is the definition of right angles, 90° angles are also known right angles. This kind of angles are often labeled with tiny squares.  

<h2>6. Answer: </h2>

Two angles whose measures add up to 180° matches to straight angle  

Angles that add up to 180° are called supplementary angles. For instance, 60° and 120° are supplements to each other because they add up to 180°.

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These are angles opposites one another at the intersection of two lines matches to vertical angles

Angles on opposite sides of intersecting lines are called vertical angles. This is the name of this type of angles because they have the same vertex, or corner, at the intersection. Vertical angles are always congruent to each other meaning this they always have the same measure.

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These are two angles in a plane which share a common vertex and a common side but do not overlap matches to adjacent angles

This is the definition of adjacent angles. They have a common side and a common vertex but they don't overlap. So if the vertex is called B, we have formed the angles ∠ABC and ∠CBD and these two angles don't overlap.

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This is an angle with a measure of 180 degrees matches to straight angle  

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<h2>10. Answer: </h2>

This is the angle formed with you extend a side of the polygon it is adjacent to the interior angle of the polygon matches to exterior angle.

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5 0
3 years ago
A movie theater complex gave a poll as viewers exited from two theaters showing the same film. They had a 20% response rate from
sp2606 [1]

Answer:

Let´s define the variables:

x = number of people in theater A

y = number of people in theater B

We know that a 20% (or 0.2 in decimal form) of the people in theater A answered the survey, then the number of people from theater A that answered the survey is: Na = 0.2*x

We know that a 30% (or 0.3 in decimal form) of the people in theater B answered the survey, then the number of people from theater B that answered the survey is: Nb = 0.3*y

There where 800 people in total (counting from the two theatres)

Then x + y = 800.

A) In this case we have:

Na = Nb

this means that:

0.2*x = 0.3*y

and we also have the equation:

x  + y = 800

To solve this, we need to isolate one variable in one of the equations, i will isolate x in the second equation:

x = 800 - y

And now we can replace this in the other equation to get:

0.2*(800 - y) = 0.3*y

We need to solve this for y:

160 - 0.2*y = 0.3*y

160 = 0.3*y + 0.2*y = 0.5*y

160/0.5 = y = 320

Then there where 320 people in theater B, and:

x + y = 800

x + 320 = 800

x = 800 - 320 = 480

There where 480 people in theather A.

B) Now we have:

x = 440

y = 360

then:

Na = 0.2*440 = 88

In theater A, 88 people answered the survey.

Nb = 0.3*360 = 108

In theater B, 108 people answered the survey.

In total, 88 + 108 = 196 people answered the survey.

5 0
2 years ago
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AURORKA [14]
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3 years ago
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2 years ago
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