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tekilochka [14]
3 years ago
15

Aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Mathematics
2 answers:
Colt1911 [192]3 years ago
5 0
The answer would be 8
kirill [66]3 years ago
3 0

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Step-by-step explanation:

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Vector v is shown in the graph.
Elis [28]

Question 4

<h3>Answer: Choice D</h3>

Explanation:

If the initial point is the origin, the coordinates of the terminal point form the vector itself in component form. We go from (-8,6) to <-8,6>. The notation change is from ordered pair to vector format.

We have a right triangle with legs of 8 and 6 units. The pythagorean theorem will help us determine the hypotenuse is 10. Therefore, the vector length is 10 units and we would say ||v|| = 10. We have a 6-8-10 right triangle.

===========================================================

Question 5

<h3>Answer: Choice B</h3>

Explanation:

Vector v starts at (2,5) and ends at (-3,-2).

The x component of the vector is x2-x1 = -3-2 = -5 meaning we move 5 units to the left when going from the start point to the endpoint.

At the same time we move 7 units down because y2-y1 = -2-5 = -7 which is the y component of the vector.

The component form of vector v is

v = <-5, -7>

it says "move 5 units left, 7 units down".

Apply the pythagorean theorem to find the length of the vector.

a^2+b^2 = c^2

c = sqrt(a^2 + b^2)

||v|| = sqrt( (-5)^2 + (-7)^2 )

||v|| = 8.602 which is approximate.

Now let's use the arctangent function to find the angle

theta = arctan(b/a)

theta = arctan(-7/(-5))

theta = 54.462 which is also approximate.

There's a problem however. This angle is in Q1 but the vector <-5,-7> is in Q3. An easy fix is to add on 180 to rotate to the proper quadrant.

54.462+180 = 234.462

which is the proper approximate angle for theta.

6 0
2 years ago
If a board game was originally $25 and it is on sale for $18 what is the percent of discount?
oksano4ka [1.4K]
It was a 28 percent discount
4 0
3 years ago
Which statement describes the congruent triangles
4vir4ik [10]

Answer:

2 triangles

Step-by-step explanation:

2 triangles are said to be congruent when all the corresponding sides of the angle and the interior angles are congruent . The two triangle are said to be the mirror image of each other.

3 0
3 years ago
Joe makes belts. He has 9 buckles. He uses 12 rivets on each of 4 belts and 15 rivets on each of 2 belts. He has 22 rivets left
Lerok [7]

Answers:

1. There are rivets on the belts.

2. Extra information given in the problem:

a. He has 9 buckles.

b. He has 22 rivets left over.


Solution:

1. Total rivets on the belts=(12 rivets/belt)(4 belts)+(15 rivets/belt)(2 belts)

Total rivets on the belts=48 rivets+30 rivets

Total rivets on the belts=78 rivets


2. The extra information given in the problem is the information that we didn't use to solve it. In this case:

a. He has 9 buckles.

b. He has 22 rivets left over.

4 0
3 years ago
Can you guys please help!
yuradex [85]

Answer:

5 for the first and 4x for the second one also plz give heart

Step-by-step explanation:

i just know

4 0
3 years ago
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