What are some examples of reflections in the real world? Geometry

Answers

Answer 1

Answer: An example of Reflections in my opinion, would be like street lights. You see a street light on one street and its facing another street light across the other street which is basically a reflection.

Answer 2

Answer:

Final answer:

Reflections in geometry involve flipping a shape over a line. This concept is seen in the real world during instances like mirror images, light reflected off smooth surfaces, and reflections on water bodies.

Explanation:

In the field of geometry, a reflection is the flipping of a shape over a line, often referred to as the mirror line. Reflections are a common occurrence in our everyday real world.

One of the most common instances of reflection in the real world is a mirror image. When you look at yourself in a mirror, the image you see is a mirrored or reflected image of yourself.
Similarly, the reflection of light off a smooth surface, like a glass window or shiny car, is another common real-world reflection we see daily.
Additionally, the reflections seen on bodies of water, such as lakes or even dewdrops on a blade of grass, are examples of reflection in nature.

Learn more about Reflections in Real World here:

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The ratio of boys to girls of a class is 3 to 4. If there are 42 students, how many of them are boys? Show your work.

Answers

Answer:

There would be 18 boys.

Step-by-step explanation:

If the ratio of boys to girls is 3:4 that means in a classroom of 7 people there would be 3 boys and 4 girls. So all you do is multiply 3 boys by 6 (18) and 4 girls by 6 (24) cuz 7*6=42 which means that there would be a total of 42 students with 18 boys and 24 girls.

PLEASE HELP I DON'T UNDERSTAND

Answers

Do you remember how to find the equation of a line when you know two points on the line ? Well, that little table gives you FIVE points on the line, and in case some students didn't notice that, the table even labels the columns 'x' and 'y' as a hint. With 5 points given, there are 20 different ways to find the equation of the line. Get to work.

Okay first we need to find the line of best fit. We would need the slope and the y-intercept. First let's solve for slope.

$Slope = (y_2 - y_1)/(x_2 - x_1)$

We would need two coordinates from the table to fill in the data. Let's use (0, 23) and (1, 20).

$(x_1, y_1) = (0, 23); (x_2, y_2) = (1, 20)$

Then we can solve for the y-intercept using the slope-intercept form: y = mx + b.

What are the answers to these?

Answers

To find whether or not the angles form a triangle, all you have to do is add all of the angles together. To be a triangle, they must equal exactly 180°.

If all of its angles are the same, it’s an equilateral triangle.

If none of its angles are the same, it’s a scalene triangle.

If 2 of its angles are the same, but one is different, it’s an isosceles triangle.

If it has an angle of 90°, it’s a right triangle.

If all of its angles are less than 90°, it’s an acute triangle.

If it has an angle greater than 90°, it’s an obtuse triangle.

1. 86+53+41= 180
It’s a triangle.
None of the angles are the same, it’s scalene.
The angles are all less than 90°, it’s acute.

2. 47 + 84 + 56 = 187
Not a triangle.

3. 70 + 22 + 68= 160
Not a triangle.

4. 54 + 97 + 29= 180
It’s a triangle.
None of the angles are the same, it’s scalene.
It has an angle greater than 90°, it’s obtuse.

5. 33+ 90 + 57 = 180
It’s a triangle.
None of the angles are the same, it’s scalene.
It has an angle of 90°, it’s a right triangle.

6. 28 + 64 + 100 = 192
Not a triangle.

7. 11 + 101 + 60= 172
Not a triangle.

8. 94 + 35 + 51 = 180
It’s a triangle.
None of the angles are the same, it’s scalene.
It has an angle greater than 90°, it’s obtuse.

9. 52 + 83 + 45 = 180
It’s a triangle.
None of the angles are the same, it’s scalene.
The angles are all less than 90°, it’s acute.

10. 65 + 78 + 37 = 180
It’s a triangle.
None of the angles are the same, it’s scalene.
The angles are all less than 90°, it’s acute.

What is the distance between the points (-4,6) (12,-9)

Answers

Using the distance formula, we can find the distance between these two points.

$\sqrt{(x.2 - x.1)^(2) + (y.2 - y.1)^(2)}$

√(12 + 4)^2 + (-9 - 6)^2

√16^2 + (-15)^2

√481 (this is your answer.)

What is a common denominator for 3 and 26. Thanks for the help. 6th grade math.

Answers

There are no common denominator for 3 and 26.

42 because 26x2=42 and 3x14=42

How many square feet of outdoor carpet will we need for this hole?

Answers

Answer:

6 square feet of outdoor carpet will be needed for the given hole.

Step-by-step explanation:

We need to find how many square feet of outdoor carpet will be needed for the hole.

So, to find the required outdoor carpet we need to calculate the area of the hole.

Now, from the diagram, the hole is in the shape of a rectangle.

So, Area or rectangle = Length × width

Length = 3 feet and Width = 2 feet

⇒ Area = 3 × 2 = 6 feet²

Hence, 6 square feet of outdoor carpet will be needed for the given hole.

The area of the outdoor carpet given in the image is gotten as; 36 ft²

What is the required area of the shape?

We can see the shape of the outdoor carpet is a triangle. However, a rectangular shape is cut out of it. Thus;

Area of outdoor carpet = (Area of triangle) - Area of rectangle

Area of triangle = ½ × base × height

Area of triangle = ½ × 7 × 12

Area of triangle = 42 ft²

Area of rectangle = 3 * 2

Area of rectangle = 6 ft²

Thus;

Area of outdoor carpet = 42 - 6

Area of outdoor carpet = 36 ft²

Read more about Area of a triangle at; brainly.com/question/17335144

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