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3 years ago

Help pls!!

Mathematics

1 answer:

vladimir2022 [97]3 years ago

4 0

Answer:

1/4

Step-by-step explanation:

5 + 7 + 4 = 16

4/16 = 1/4

pls give me brainliest :)

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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

Kali had a total of 212121 balloons at her birthday party. The ratio of blue balloons to green balloons is shown in the tape dia

Misha Larkins [42]

Answer:

Blue balloons = 12

Step-by-step explanation:

Total no of balloons = 21

Let us assume that the ratio of blue balloons to green balloons is 4:3.

Let there are 4x blue balloons and 3x green balloons.

ATQ,

4x+3x = 21

7x = 21

x = 3

Blue balloons = 4x

= 4(3)

= 12

Hence, she will have 12 blue balloons at her party.

5 0

2 years ago

Select the correct answer from each drop-down menu.

erik [133]

Answer:

Grades 6 and 8

Step-by-step explanation:

If the relationship of girls to boys in two different grades are proportional, <u>they must have the same ratio</u>. To tackle this problem, we can find the <u>ratios</u> of genders in each grade and compare them.

Step 1, finding ratios:

Finding ratios is just like <u>simplifying fractions</u>. We will reduce the numbers by their<u> greatest common factors</u>.

GRADE 6:

$9:12=\\3:4$

GRADE 7:

$12:18=\\2:3$

GRADE 8:

$15:20=\\3:4$

GRADE 9:

$25:36$

<u>Can't be simplified!</u>

<u />

Step 2:

Notice how grades 6 and 8 both had a ratio of 3:4. We can conclude that these two grades have a proportional relationship between girls and boys.

<em>I hope this helps! Let me know if you have any questions :)</em>

<u />

8 0

3 years ago

If ABC and GEF are congruent, the value of x is and the value of y is

luda_lava [24]

Answer:

The value of x is 10, and the value of y is 6

Step-by-step explanation:

ABC and GEF are congruent

x - 8 = 2

x = 10

x - y = 4

10 - y = 4

y = 10 - 4

y = 6

Answer

x = 10, y = 6

3 0

3 years ago

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Question 3

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

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2 years ago