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Novay_Z [31]
3 years ago
5

Find the magnitude and direction angle of the vector v = <3, −1> =

Mathematics
2 answers:
kow [346]3 years ago
6 0
It will be 341 degrees !
kompoz [17]3 years ago
4 0

Answer:

magnitude = √10

theta=

\arccos \frac{3}{ \sqrt{10} }

= -18.435° or 341.565°

Step-by-step explanation:

hmu if u want an explanation. numbers were gotten using desmos

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A bag contains 40 marbles. The probability of selecting a red marble at random is 1/5. How many red marbles are in the bag?
goblinko [34]

Answer:

8 red marbles.

Step-by-step explanation:

All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.

40/5=8

You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .

If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.

1 * 8 = 8 red marbles in the bag

If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.

Example:

If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.

Easy and quick way if you do not need the explanation:

Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8

7 0
3 years ago
The slope of a line is 2/3. What is the slope of a line that is perpendicular to this line?
malfutka [58]
The answer is A. Always for perpendicular you flip the sign and the numbers
4 0
4 years ago
Read 2 more answers
How do you describe a sequence of rigid motions?
Burka [1]

See the explanation

<h2>Explanation:</h2>

Rigid motions are transformations we perform on a figure in order to move it without changing the size or shape of it. They are also called <em>congruence transformations </em>because we can map one figure onto other figure so they will maintain every condition in order to be congruent.

Rigid motions are the following:

  • Reflections: Here we reflect the figure across a line
  • Translations: Here we move the figure either horizontally or vertically
  • Rotations: Here we turn the figure either counterclockwise or clockwise.

So sequence of rigid motions could be any combination we get from the mentioned transformations. For instance:

Perform the transformation of triangle ΔABC following this sequence:

1. Translate the figure 2 units right and 4 units down

2. Reflect the figure across the x-axis

3. Rotate the figure 90 degrees in clockwise direction

<h2> Learn more:</h2>

Transformations in real-world problems: brainly.com/question/1033817

#LearnWithBrainly

8 0
3 years ago
A 20 packet box of detergent sells for $5.49. What is the unit rate?
liubo4ka [24]
Answer:

Each packet is $3.64

20 / 5.49 = 3.64

Hope This Helps!
Can I get Brainliest?
6 0
3 years ago
Read 2 more answers
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs.
-BARSIC- [3]

Answer:

  • See below

Step-by-step explanation:

The x-intercepts are the points with y- coordinate of 0

  • (x - 3)(x + 8) = 0
  • x - 3 = 0 or x + 8 = 0
  • x = 3 or x = - 8

a) x-intercepts are

  • 3 and - 8

b) midpoint of x-intercepts is

  • (3 - 8)/2 = - 5/2 = - 2.5

c) The extheme value has x- coordinate of - 2.5 and y- coordinate

  • (-2.5 - 3)(- 2.5 + 8) = (-5.5)(5.5) = - 30.25

d) f(- 2.5) = - 30.25

3 0
2 years ago
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