Martin drew a triangle. Its sides were 3 cm 3 cm3, start text, space, c, m, end text, 4 cm 4 cm4, start text, space, c, m, end text, and 5 cm 5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle is and .

Answer:

300 people.

Step-by-step explanation:

The number of people who like at least one of them is 300 people.

A Venn diagram is defined as a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Given data as :

In a survey conducted among the people

The number of people like to eat green vegetables = 200,

The number of people like fruits = 200 and

The number of people like both of them = 100

According to attached Venn-Diagram,

The number of people who like at least one of them = 100 + 100 + 100

The number of people who like at least one of them = 300

Hence, the number of people who like at least one of them is 300 people.

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Answer:

53

Step-by-step explanation:

Answer:52

Step-by-step explanation:

Multiply 4x4x2=32

And do

85-32= 52

Answer:

x = 3.5

y = - 4

Step-by-step explanation:

2(4x + 7y = -14)

8x + 14y = -28

  8x + 5y = 8

- (8x + 14y = -28)

--------------------------

        - 9y = 36

            y = 36/-9

            y = - 4

   4x + 7y = - 14

4x + 7(- 4) = - 14

     4x -28 = - 14

            4x = 14

              x = 14/4

              x = 3.5

The electric potential, V, is 73.63 N and the magnitude of the electric field is 12.00 V/m.

The given electric potential is,V=2xy²z³+3ln(x²+2y²+3z²) N

The components of the electric field can be found as follows,

E=-∇V=- (∂V/∂x) i - (∂V/∂y) j - (∂V/∂z) k

(a) To determine the potential at P(3, 2, -1), substitute x=3, y=2, and z=-1 in the given potential,

V=2(3)(2²)(-1)³ + 3 ln [(3)²+2(2)²+3(-1)²]= 72.32 N

(b) The magnitude of the potential is given by,

|V|= √ (Vx²+Vy²+Vz²)

The electric potential, V, is a scalar quantity. Its magnitude is always positive. Therefore,

|V|= √ [(2xy²z³)² + (3ln(x²+2y²+3z²))²]= √ [(-72)² + (16.32)²]= 73.63 N

(c) To determine the electric field E at P(3,2,-1), find the partial derivatives of V with respect to x, y, and z, and then substitute x=3, y=2, and z=-1 to obtain Ex, Ey, and Ez.

Ex = -(∂V/∂x)= -2y²z³/(x²+2y²+3z²) = -4.8 V/m

Ey = -(∂V/∂y)= -4xyz³/(x²+2y²+3z²) = -10.67 V/m

Ez = -(∂V/∂z)= -6xyz²/(x²+2y²+3z²) = 5.33 V/m

Therefore, the electric field E at P(3,2,-1) is, E=Exi+Eyj+Ezk=-4.8 i - 10.67 j + 5.33 k

(d) The magnitude of the electric field is given by,

|E|= √ (Ex²+Ey²+Ez²)= √ [(4.8)²+(10.67)²+(5.33)²]= 12.00 V/m

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Answer:

No

Step-by-step explanation:

1) We need to use the AAA proof which states that any two triangles with all three angles congruent must also be similar.
2) We also need another rule that a triangle's angles must always add up to 180 degrees.

Using rule 2) we can find the third missing angle for the two triangles:

ABC:

180 - (60 + 79) = 41

DEF:
180- (60+ 42) = 78

We can now fill in that triangle ABC's angles are 60, 41, and 79

and

triangle DEF's angles are 60, 42, and 78

They are not the same, therefore the two triangles are not similar either, by rule 1).

51/x - 5i

this is the answerrrr

The answer above is correct, i got it right on the test!

Answer:

C≥12,E≥6,C+E≤26

Step-by-step explanation:

i just took the quiz and got it right

The system of inequalities will be C≥12, E≥6, and C+E≤26. Then the correct option is A.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The Inequality to graduate you must take at least 12 core credits,

C≥12

The Inequality to graduate you must take at least 6 electives credits,

E≥6

No more than a total of 26 credits for both core and electives.

C+E≤26

Hence, the correct option is A.

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The volume of the given sphere is 6040.93 cubic cm

A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle.

The formula for calculating the volume of a sphere is expressed as:

V = 1/3pir^3

where

r is the radius of the sphere

Given the following parameters

r = 11.3cm

Substitute the given radius into the formula to have:

V = 1/3(3.14) * 11.3^3

V = 18122.78632/3

V = 6040.93 cubic cm

Hence the volume of the given sphere is 6040.93 cubic cm

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Answer:

2r+22 because you have to multiply the r by 2 and then you also have to multiply the 11 by 2 making it 2r+22

Answer:

gradient is 5

Step-by-step explanation:

x intercept, replace y with 0

y +5x= 13

0+ 5x =13

0 - 13= -5x

-13= -5x

-13/-5 = -5x/-5

x = 13/5

y intercept, replace x with 0

y+5x=13

y+5(0)=13

y+0=13

y =13

The equation of the table in slope intercept form is y = - 5 / 2x - 1

Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.

But the equation of the table below will be represented in slope intercept form.

The equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, using (-4, 9)(-2, 4)

m = 4 - 9 / -2 + 4

m = - 5 / 2

Hence, let's find the y-intercept using (0, -1)

y = - 5 / 2x + b

-1  = - 5 / 2(0) + b

b = -1

Therefore, the equation is y = - 5 / 2x - 1

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The quarts of water needed for 9 quarts of grape juice is 18 quarts of water .

The amount of grape juice needed for 15 / 4 quarts of water is 1 7/8.

The amount of water needed for 100 quarts is  66 2/3 quarts.

The amount of grape juice needed for 100 quarts is 33 1/3 quarts.

The first step is to determine the ratio between the ingredients needed for sparking grape juice.

Ratio of sparking water to grape juice - 1 1/2 : 2/4

When expressed in its simplest form, the ratio becomes - 1 1/2 : 1.2

This means that there are twice the amount of water is needed for 1 quart of grape juice.

Quarts of sparking water needed for 9 quarts of grape juice = 9 x 2 = 18 quarts of sparking water

Grape juice needed for 15/4 quarts of sparking water = 15 / 4 ÷ 2

15 / 4 x 1/2 = 15 / 8 = 1 7/8

Let a represent the quarts of grape juice that would be used to make 100 quarts of punch.

Let a represent the quarts of sparking water that would be used to make 100 quarts of punch.

a + 2a = 100

3a = 100

a = 100 / 3

a = 33 1/3

Quarts of sparking water needed = 100 - 331/3 = 66 2/3 quarts

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The resultant velocity and acceleration of the skier at t=4.00 sec on the ski jump path are 12.8 m/s and 45.9 m/s², respectively.

To find the resultant velocity, first find the velocity vector components using the parametric equations:

vx = 7.00t, vy = 0.48t³ - 6.00t²/√(t⁴+1)

At t=4.00 s, vx = 28.0 m/s and vy = 10.50 m/s. The resultant velocity is the magnitude of the velocity vector, given by:

|v| = √(vx² + vy²) = 12.8 m/s

To find the acceleration vector components, differentiate the velocity vector components with respect to time:

ax = 7.00 m/s², ay = 1.44t² - 12.00t/√(t⁴+1) - 6.00t³(t⁴+1)^(-3/2)

At t=4.00 s, ax = 7.00 m/s² and ay = 45.9 m/s². The acceleration vector magnitude is:

|a| = √(ax² + ay²) = 46.1 m/s².

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On that day, approximately 77.5% of the carpenters were at work.

To calculate the percentage of carpenters at work on a given day, we can use the following formula:

Percentage = (Number at Work / Total Number) * 100

Given:

Total number of carpenters = 40

Number of carpenters at work = 31

Using the formula:

Percentage = (31 / 40) * 100

Calculating the percentage:

Percentage = 0.775 * 100

Percentage = 77.5%

Therefore, on that day, approximately 77.5% of the carpenters were at work.

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Answer:

185/198

Step-by-step explanation:

Since the are 12 Cd and we require them to be selected in 5 ways, the number of selections is ¹²C₅ = 12 × 11 × 10 × 9 × 8/5! = 95040/120 = 792 ways

Since we have Four are rap music, five are country music, and three are heavy metal music, the number of ways to select them in groups of five so as to have at least one of each CD from each category, we have

For the first selection 3 of one category, and 1 each of the other categories.

The second selection is 2 each of two categories and 1 of the last category.

So, doing this for each category, we have

⁴C₃ × ⁵C₁ × ³C₁ + ⁴C₂ × ⁵C₂ × ³C₁ + ³C₃ × ⁴C₁ × ⁵C₁ + ³C₂ × ⁴C₂ × ⁵C₁ + ⁵C₃ × ⁴C₁ × ³C₁ + ⁵C₂ × ³C₂ × ⁴C₁

= (4 × 3 × 2/3! × 5 × 3) + (4 × 3/2! × 5 × 4/2! × 3) + (1 × 4 × 5) + (3 × 2/2! × 4 × 3/2! × 5) + (5 × 4 × 3/2! × 4 × 3) + (5 × 4/2! × 3 × 2/2! × 4)

= 360/6 + 720/4 + 20 + 360/4 + 720/2 + 120/4

= 60 + 180 + 20 + 90 + 360 + 30

= 740 ways

So, the required probability is P = number of ways of selecting at least one CD/ total number of ways = 740/792 = 185/198

technologies have transformed modern management and individual behavior and decision-making in numerous ways.

Technologies have significantly impacted modern management and individual behavior and decision-making in various ways. One key aspect is the increased accessibility to data and information, enabling managers to make more informed decisions. Advanced analytics and data visualization tools allow for better analysis of complex data sets, leading to improved strategic planning and resource allocation.
Another important aspect is the enhancement of communication and collaboration among teams. Technologies such as video conferencing and project management software have facilitated a seamless flow of information across geographical boundaries. This has fostered a more inclusive and agile work environment, making it easier for managers to coordinate tasks and motivate their team members.
Additionally, automation technologies have streamlined many routine tasks, freeing up managers to focus on more strategic responsibilities. This has led to improved efficiency and productivity, allowing organizations to respond more effectively to dynamic market conditions. Moreover, artificial intelligence and machine learning can provide personalized support to individual employees, enhancing their decision-making abilities.
On the other hand, the widespread adoption of these technologies can also pose challenges. Issues related to privacy and data security have become increasingly significant, and managers must be proactive in addressing these concerns to protect their organization and employees. Furthermore, the rapid pace of technological change can lead to information overload and increased stress levels, potentially hindering individual decision-making.
While these advancements offer many benefits such as improved data analysis, enhanced communication, and increased efficiency, they also present challenges that must be addressed. It is crucial for managers to strike a balance between leveraging technology and managing potential risks to maximize the benefits for their organizations and employees.

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The answer is 41

Step-by-step explanation:

To solve this we must use the formula a^2+b^2=c^2. if we substitute in the values we get 9^2+40^2=c^2. The first variable is 81, then the b variable is 1600. The hypotenuse is the c value. 81+1600 is 1681, now we must find the square root of 1681. The answer is 41. Tell me if I'm wrong :)

Answer:

Step-by-step explanation:

consider the lines of reflection as mirrors and write whhat you see on the other side of the mirror

1. Z becomes X

2. T becomes Q

3. B becomes F

4. S becomes Y

5. F becomes B

6. S is stil S because if the point is on thhe line of reflection is stays the same

An equation is formed of two equal expressions. The equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it can be seen that the centre of the ellipse is at (6,2). Also, the major radius is equal to 7 units, while the minor radius is equal to 3 units. The general equation of the ellipse is given as,

(x - h)²/a² + (y - k)²/b² = 1

(x - 6)²/7² + (y - 2)²/3² = 1

[(x-6)²/49] + [(x-2)²/9] = 1.

Hence, the equation of the ellipse is,

⇒ [(x-6)²/49] + [(x-2)²/9] = 1 .

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Answer:

the answer is A on edge :)

Step-by-step explanation:

good luck <3

Answer:  -x - 5y + 19 = 0, choice A

All we're doing is adding 19 to both sides to get everything on the same side.

General form is Ax+By+C = 0. Some books use Ax+By = C which is just a variation of the same idea.

Answer:

F(3,3)

Step-by-step explanation:

The coordinate of F is (3, 3).

Three vertices of parallelogram DEFG are D(0, 2), E(-1, 5), and G (4, 0).

Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.

The formula is used to find the midpoints are as follows;

\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\)

Let (x, y) = coordinates of vertex F.

DF and EG are diagonals of parallelogram DEFG, therefore:

The midpoint of DF = midpoint of EG

Then,

The midpoint of D(0, 2) and F(x, y) is;

\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\dfrac{0+x}{2}, \ \dfrac{2+y}{2}\)

The midpoint of E(-1, 5) and G(4, 0) is;

\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\rm \dfrac{-1+4}{2} , \ \dfrac{5+0}{2}\\\\\dfrac{3}{2}, \dfrac{5}{2}\)

Comparing the equation;

\(\rm \dfrac{0+x}{2} = \dfrac{3}{2}\\\\\dfrac{x}{2} = \dfrac{3}{2}\\\\x=3\)

\(\rm \dfrac{2+y}{2} =\dfrac{5}{2}\\\\2+y =5\\\\y = 5-2\\\\y =3\)

Hence, the coordinate of F is (3, 3).

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It would take 5040 cubic inches of water to completely fill the aquarium.

We know that the formula for the volume of cuboid :

V = length × width × height

Let us assume that l represents the length of the aquarium, w represent the width and h represents the height.

Here, l = 20 inches

w = 14 inches

and h = 18 inches

Using the formula for the volume of cuboid, the volume of aquarium would be,

V = l × w × h

V = 20 × 14 × 18

V = 5040 cu.in.

Therefore, it would take 5040 cu.in. of water.

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The formula for the nth term of the series will be (11+n)*(n+1).

A series in mathematics is essentially the process of adding an infinite number of quantities, one after the other, to a specified starting quantity. A significant component of calculus and its extension, mathematical analysis, is the study of series. The fundamental concepts in mathematics are series and sequence. A series is the total of all elements, whereas a sequence is an ordered group of elements in which repeats of any kind are permitted. One of the typical instances of a series or a sequence is an arithmetic progression.

In this the pattern of the series is

24=12*2

39=13*3

54=14*4

hence The formula for the nth term of the series will be (11+n)*(n+1).

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Answer: 20.9

Step-by-step explanation:

On the screenshot below

Answer:

20.9 or 209 over 10 or 20 and 9 over 10

Step-by-step explanation:

Answer: the discount offered is 12%