What is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 2 units?

4 units
2 units
Square root of 6 units
Square root of 8 units

Types of bullying include physical, verbal, emotional, and cyberbullying about bullying is true. Correct option is D.

Option D is the correct statement. Bullying can take various forms, and the four main types of bullying are physical (e.g., hitting, pushing), verbal (e.g., name-calling, teasing), emotional (e.g., spreading rumors, excluding someone), and cyberbullying (bullying that takes place online or through digital means). It is essential to recognize and address these different types of bullying to create a safe and supportive environment for children and prevent harm.

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Answer:

1) AB=7 CD=3 EF=[tex]3\sqrt{5}[/tex] 2) [tex]M_{AB}=\frac{-1}{2},2[/tex] [tex] \\  M_{EF} =(\frac{5}{2}-3)[/tex] \\  [tex] \\ M_{EF} =(\frac{5}{2}-3)[/tex] 3) AB not inclined CD not inclined EF 6/5

Step-by-step explanation:

1) We can use the Distance Formula to answer the 1st. question.

But in the first case AB I'd rather doing it intuitively because it is a straight line parallel to the x-axis

AB

A(-4,2) and B(3,2)

In this segment, also parallel we can calculate the length as |-4|+|3|=7 since both have the same y coordinate.

Using the Distance formula to check it:

[tex]D=\sqrt{(3--4)^{2}+(2-2)^{2}}\\D=\sqrt{49}\\D=7[/tex]

CD

C(-4,-1) D(-4,-4)

Similar to the first one but this time with different y coordinates.

The length will be calculated by subtracting the absolute values for y:

|-4|-|-1|=4-1 = 3

Using the Distance formula to check it:

[tex]D=\sqrt{(-4--1)^{2}+(-4--4)^{2}}\\D=\sqrt{9}\\D=3[/tex]

EF

E (1,-1) F(4,-5)

In this case there's no straight line.

So right to the Distance Formula:

[tex]D=\sqrt{(-5-1)^{2}+(4-1)^{2}}\\ D=\sqrt{36+9}\\D=\sqrt{45}\\D=3\sqrt{5}[/tex]

2) To find the Midpoints we need to calculate the Mean of these two points.

AB

A(-4,2) and B(3,2)

[tex]M_{AB} =\frac{-4+3}{2},\frac{2+2}{2}\\M_{AB}=\frac{-1}{2},2[/tex]

CD

C(-4,-1) D(-4,-4)

[tex]M_{CD} =\frac{-4-4}{2} ,\frac{-1-4}{2} \\M_{CD} =(0,\frac{-5}{2})[/tex]

EF

E (1,-1) F(4,-5)

[tex]M_{EF} =\frac{4+1}{2} ,\frac{-1-5}{2} \\ M_{EF} =(\frac{5}{2}-3)[/tex]

3) To find the Slope let's calculate the quotient of a difference between y-coordinates over x-coordinates of two given points.

[tex]m_{AB}=\frac{2-2}{3--4}=\frac{0}{7}=0[/tex]

AB is not inclined.

CD

C(-4,-1) D(-4,-4)

[tex]m_{CD}=\frac{-4--1}{-4--4}=\frac{-3}{-4+4}=\frac{-3}{0}[/tex]

Not Defined for all Real Set of Numbers

The line CD is not inclined.

EF

E(1,-1) F(4,-5)

[tex]m_{EF}=\frac{-5-1}{4--1}=\frac{6}{5}[/tex]

The line EF has a slope of 6/5

The value of the decimal number 4.624 to the nearest 10 places is 4.6

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.

Given decimal number is 4.624. The rounding off is:-

4.624 = 4.6 at 10 places

Therefore, the value of the decimal number 4.624 to the nearest 10 places is 4.6

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The types of 3D objects on which one face is triangular are triangular prism, triangular-based pyramid, and square-based pyramid so Matt's solid figure can be anyone among the three.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given,

Matt used a 3D block to draw a triangle on the paper.

Now in order to draw a triangle there are three types of 3D objects that can be used,

01) Triangular prism,

02) Triangular-based pyramid

03) Square-based pyramid

Hence "The types of 3D objects on which one face is triangular are triangular prism, triangular-based pyramid, and square-based pyramid so Matt's solid figure can be anyone among the three".

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Final answer:

The light bulb consumes 7800 watt-hours in 3 days and 6 hours, calculated by summing the daily consumption over three days and additional energy consumed in 6 hours.

Explanation:

To calculate the energy consumption in watt-hours, we first understand that the light bulb consumes 2400 watt-hours in one day. To find out how much it consumes in 3 days and 6 hours, we multiply the daily consumption by the number of days and then add the consumption for the additional 6 hours:

Energy consumed in 3 days = 2400 watt-hours/day  imes 3 days = 7200 watt-hours

Energy consumed in 6 hours = (2400 watt-hours/day) / (24 hours/day)  imes 6 hours = 600 watt-hours

Adding these two amounts gives us the total energy consumption in the specified time:

Total energy consumption = 7200 watt-hours + 600 watt-hours = 7800 watt-hours

Therefore, the light bulb consumes 7800 watt-hours in 3 days and 6 hours.

True........................

Answer:-4 < x < 6

Step-by-step explanation:

The Tony age and Howard age be 36 and 33 respectively.

It is required to find the age of tony.

The amount of time during which someone or something has lived or existed. The length of time that a person has lived or a thing has existed.

Given:

Let Howard age=x

Tony age=x+3

Before 5 year we have,

Howard age=x-5,

Tony age=x+4-5=x-1

Some of there age=59

According to given question we have,

x-5+x-1=59

2x-6=59

2x=65

X=65/2

x=32.5

The age can't be fraction or decimal so we take 33.

Howard age=33

Tony age=33+3=36

Therefore, the Tony age and Howard age be 36 and 33 respectively.

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3 inches is most likely what she measures because the ruler only has inches and centimeters so inches would be more logical

Answer:

its D

Step-by-step explanation:

Final answer:

To calculate the altitude of an equilateral triangle with side length 12, divide the side by 2 and multiply by [tex]\(\sqrt{3}\)[/tex] giving an altitude of approximately 10.3923 units.

Explanation:

To find the length of the altitude of an equilateral triangle with a side length of 12, you can use the Pythagorean theorem. The altitude of the equilateral triangle creates two 30-60-90 right triangles. The altitude is the longer leg in this case, and the side of the triangle is the hypotenuse. In a 30-60-90 triangle, the longer leg (altitude) is [tex]\(\sqrt{3}\)[/tex]times the shorter leg (half of the side of the triangle).

First, divide the side of 12 into two to get the shorter leg of the right triangle, which is 6. Then, multiply 6 by \(\sqrt{3}\) to find the length of the altitude. This results in:

[tex]\(6 \times \sqrt{3} = 6\sqrt{3} \approx 10.3923\)[/tex]

Therefore, the altitude of the equilateral triangle is approximately 10.3923 units long.

5,2 is the answer, this is such easy question my baby brother could do it easy

Answer

C.–1 and 4

Explanation

Solving the equations  y = –x² + 4x and y = x – 4

–x² + 4x = x – 4

x² - 4x + x = 4

x² - 3x = 4

x² - 3x + (3/2)² = 4 +  (3/2)²

(x - 3/2)² = 4 +  9/4

              = 6.25

x - 3/2 = √6.25                      or  x - 3/2 = -√6.25

x = 2.5 + 1.5                                        x = -2.5 + 1.5

 = 4                                                        = -1

peaches = 3 less than one half the number of grapes

 so from the written problem you can get:

p=1/2g-3

1/2g is the same as g/2

 so answer is A. p= g/2-3